Department of Mechanical, Aerospace, and Nuclear Engineering

Courses

Mechanical, Aeronautical & Nuclear»
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Mechanical, Aerospace and Nuclear Engineering Courses:

ID Title Credits Offered
MANE-2060 Fundamentals of Flight 4 Spring
  An introduction to the elements of fluid mechanics, thermodynamics, heat transfer, aerodynamics, aircraft and rocket propulsion, launch systems, spaceflight dynamics, and reentry mechanics. Application of this material to airplane performance calculations and to airplane and spacecraft design.
MANE-2400 Fundamentals of Nuclear Engineering 4 Fall
  Nuclear reactor systems and types; basic reactor physics, criticality calculations; fuel cycles; reactivity changes; reactor kinetics. Instrumentation and control; radiation protection. Reactor materials; shielding; energy removal. Reactor safety; economics. Waste management. Reactor design. Prerequisite: ENGR-2830 or equivalent.
MANE-2830 Nuclear Phenomena for Engineering Applications 4 Spring
  A survey of atomic and nuclear phenomena and their application in various engineering disciplines. Systematics of atoms and nuclei; nuclear reactions and their characterization; radioactive decay; fission and fusion energy release; radiation effects on materials and biological systems; radiation production, detection and protection. Applications in energy production, manufacturing, medicine, etc. Prerequisite: PHYS-1100 and either CHEM-1100 or CHEM-1300.
MANE-2940 Readings in Mechanical Engineering, Aeronautical Engineering, Nuclear Engineering, or Engineering Physics 1 to 3 NA
 
MANE-2960 Topics in Mechanical Engineering, Aeronautical Engineering, Nuclear Engineering, or Engineering Physics 3 NA
 
MANE-2980 Senior Project 3 Fall and Spring
 
MANE-4010 Thermal and Fluids Engineering II 4 Fall and Spring
  Application of thermodynamics, heat transfer, and fluid flow principles to practical engineering systems, including power generation, HVAC, automotive design, materials processing, etc. Extends and complements concepts introduced in ENGR-2250. Utility of the 2nd Law will be demonstrated and emphasized. Prerequisite: ENGR-2250.
MANE-4020 Thermal and Fluids Engineering Laboratory 2 Fall and Spring
  Laboratory experience to complement MANE-4010. Demonstration of principles of thermodynamics, heat transfer, and fluid mechanics for mechanical engineering applications through a number of structured experiments. Corequisite: MANE-4010.
MANE-4030 Elements of Mechanical Design 4 Fall and Spring
  Introduction to the design of mechanical components and integrated assemblies. Loads, stresses, and strains. Failure phenomena. Mechanical components including shafts, couplings, bearings, gears, springs, clutches, brakes, screws and fasteners, and bonded joints. Prerequisites: MATH-2400, ENGR-2530.
MANE-4040 Mechanical Systems Laboratory 2 Fall and Spring
  Laboratory experience to complement MANE-4030. Stress and strain measurement; load, fatigue, and failure testing; friction and wear behavior. Reverse engineering of a mechanical assembly. Corequisite: MANE-4030.
MANE-4050 Modeling and Control of Dynamic Systems 4 Fall and Spring
  Introduction to modeling, analysis, and control of dynamic systems. Modeling of mechanical, electrical and electromechanical systems. Time-domain and Laplace- Transform solutions. Block diagrams and transfer functions. Analysis and design of feedback control systems. Control system representation and characteristics. System performance specifications. Absolute stability criteria. Root-Locus and frequency response analysis and design methods. Systems compensation and controller design. Design case study. Corequisites: MATH-2400, PHYS- 1200.
MANE-4060 Aerospace Structural Analysis 3 Fall
  Beam structures under combined shear, bending, and torsional loads. Semi-monocoque structures: idealizations involving wings, ribs, and fuselage bulkheads. Effects of taper and cutouts in stiffened shell structures, shear deformations and warping, location of elastic axis in open and closed sections, torsion of multicell sections. Stability of beam and membrane elements. Prerequisite: ENGR-2530.
MANE-4070 Aerodynamics I 3 Fall
  The fundamental principles of fluid dynamics, theory of inviscid incompressible flow, thin airfoils, high aspect ratio wings, delta wings, vortex panel and vortex lattice methods, subsonic compressible small-disturbance theory, transonic flow. Prerequisites: ENGR-2250 and MANE-2060.
MANE-4080 Propulsion Systems 4 Fall
  Analysis of thrust generation: propeller theory, combustion, reciprocating engines, gas turbines. One-dimensional compressible flow, Prandtl-Meyer expansions and oblique shock waves, application to diffusers and rocket nozzles. Linearized supersonic flow. Prerequisite: MANE-4070 or permission of instructor.
MANE-4090 Flight Mechanics 4 Fall
  Performance, stability, and control of airplanes. General equations of motion for rigid aircraft, aerodynamic forces and moments, quasi-steady and nonsteady flight paths. Generalized performance methods, flight envelope. Small disturbance theory, stability derivatives, longitudinal and lateral static stability. Basic airplane motion, response to control actions and to atmospheric disturbances. Automatic flight control. Simulation of aircraft performance and dynamics. Prerequisite: MANE-4070 or permission of instructor. Corequisite: ENGR-4050.
MANE-4100 Spaceflight Mechanics 4 Fall
  Review of basic dynamics. Analysis of spacecraft trajectories, target rendezvous, and interception. Hohmann transfer, escape trajectories, interplanetary missions, the restricted three-body problem. Rigid body dynamics with application to gyrodynamics, stabilized platforms, gravitygradient and spin stabilization of satellites, gyrostats. Selected topics such as drag-free satellites, vehicle launch and reentry, deployment dynamics (time permitting). MATLAB/Simulink is used as a simulation-visualization aid. Prerequisites: ENGR-2090, MANE-2060, and MATH- 2400, or equivalent.
MANE-4110 Advanced Fluid Mechanics 3 Offered by Individual Arrangement
  Comprehensive treatment of fluid mechanics for both incompressible and compressible as well as viscous and inviscid flows, with emphasis on fundamental concepts and analytical methods. Topics include review of kinematics of fluid flow, derivation of the Navier-Stokes equations including their boundary conditions, exact solutions of Navier-Stokes equations, similarity solutions including laminar boundary layers, transition to turbulence, and oneand two-dimensional ideal compressible flow. Prerequisite: MANE-4010 or equivalent.
MANE-4130 Analysis and Design of Composite Structures 3 Spring
  Overview of composite materials technology and applications. Concepts of solid mechanics. Constitutive equations of anisotropic thermo-elasticity. Micromechanics of fibrous and particulate systems. Lamination theory: In-plane and out-of-plane response of symmetric and non-symmetric laminated plates. Thermal and hygrothermal effects. Test methods. Interlaminar stresses. Failure and damage. Joining of laminates. Laminated tubes. Design examples. Prerequisite: ENGR-2530.
MANE-4150 Stresses in Machine Elements 3 Fall and Spring
  Application of the principles of strength of materials to the analysis and design of machine parts. Curved bars, multisupport shafts, torsion, cylinders under pressure, thermal stresses, creep, and relaxation, rotating disks and other machine elements are considered.
MANE-4170 Machine Dynamics 3 Spring
  The principles of dynamics as applied to the analysis of the accelerations and dynamic forces in machines and machine components such as linkages, cams, and gears. The effect these dynamic forces have on the dynamic balance and operation of the machines and the attending stresses in the individual components of the machines. Prerequisites: ENGR-2090 and MATH-2400.
MANE-4180 Mechanisms 3 Spring
  The displacement, velocity, and acceleration analysis of planar mechanisms, four bar linkages, slider, cranks, cams, and gear systems. Some synthesis techniques. Explore the use of existing large and small computer graphics programs. Prerequisite: ENGR-2090.
MANE-4200 Rotorcraft Performance, Stability, and Control 4 Fall
  Topics in flight dynamics generic to rotorcraft (e.g., helicopters and tilt-rotor VTOLs). Lift and propulsion systems, hovering, and forward flight characteristics. Dynamics of flapping rotors. Longitudinal and lateral trim. Dynamic flight stability, controllability, and basics of automatic control requirements. Prerequisite: MANE-4070 or equivalent.
MANE-4220 Inventor's Studio 3 Fall and Spring
  Students work in teams to continue design and development work on approved projects that started in other courses such as Introduction to Engineering Design. New projects can also be proposed by students. Emphasis will be on completing the design, building an improved prototype, applying for patent protection, and licensing the design. Open to undergraduate and graduate students. Oral and written presentations are required. This is designated as a writing-intensive course. Prerequisite: ENGR-2050 or permission of instructor.
MANE-4230 Fixed-Wing Aircraft Design 3 Spring
  Conceptual and preliminary design of a fixed-wing aircraft to satisfy given commercial aircraft specifications. Includes elements of initial sizing and weights, geometry selection, aerodynamic design, propulsion integration, stability and control, loads, structural design, manufacturability, and cost analysis. Writing-intensive assignments help develop communication skills. Prerequisites: MANE-4060 and MANE-4070.
MANE-4240 Introduction to Finite Elements 3 Fall and Spring
  An introductory course in use of the Finite Element Method (FEM) to solve one- and two-dimensional problems in fluid mechanics, heat transfer, and elasticity. The methods are developed using weighted residuals. Algorithms for the construction and solution of the governing equations are also covered. Students will be exposed to the use of commercial finite element software. (Cross listed as CIVL-4240. Students cannot obtain credit for both this course and CIVL-4240.) Prerequisites: ENGR- 2250 or ENGR-2530 or ECSE-4160 and senior standing.
MANE-4250 Mechatronic System Design 3 Spring
  Mechatronic system design principles, modeling/analysis/ control (continuous and digital) of dynamic systems, control sensors/actuators and microcomputer/microcontroller interfacing, control electronics, and real-time programming for control. Lectures and weekly homework exercises; student teams complete two projects, each with required oral and written presentations; reverse engineering of a successful mechatronic system and a design-buildtest exercise based on one of the laboratory systems of Mechatronics. Prerequisite: MANE-4490.
MANE-4260 Design of Mechanical Systems 3 Fall and Spring
  This course acquaints students with all the phases of the design process from recognizing the need through a detailed conceptual design. Students work in teams on a semester-long project with the assistance of faculty consultants. Design techniques are presented in lecture. The design projects require students to draw upon their engineering background, experience, and other pertinent resources. Oral and written presentations are required. Writing-intensive assignments help develop communication skills. Prerequisite: MANE-4030.
MANE-4270 Dynamics and Control of Multibody Systems 3 Offered by Individual Arrangement
  Dynamic analysis and control of multibody mechanical systems. Review of dynamic analysis using Newton-Euler and Lagrange formulations of equations of motion. Introduction to dynamic analysis using Kanes Method. Comparison of the methods for formulating equations of motion. Computer-aided control system analysis and design using root-locus, frequency-response, and statespace analysis and design methods. Introduction to linear quadratic control and robust/H control. Prerequisites: ENGR-4050, MANE-4170.
MANE-4280 Design Optimization: Theory and Practice 3 Fall
  This course introduces the student to the theory and use of numerical design optimization methods, with a major focus on the algorithms and problem formulations relevant to engineering design. The lectures concentrate on the algorithm development while the exercises emphasize correct problem formulation and evaluation of the results. Topics include methods for unconstrained nonlinear problems, constrained linear and nonlinear problems, sensitivity analysis, multiobjective optimization, and mechanism optimization. Prerequisites: MANE-4030 or equivalent.
MANE-4290 Electronic Packaging 3 Fall
  Design and fabrication of interconnection structures in electronic systems; heat transfer and mechanical and environmental protection; applications, future trends, and limitations. (Cross listed as ECSE-4290 and MTLE-4290. Students cannot obtain credit for both this course and either ECSE-4290 or MTLE-4290.) Prerequisites: senior or graduate level at Rensselaer or an undergraduate degree in engineering or science.
MANE-4300 Aeroelasticity 3 Bi-Annually
  General operator equations of aeroelasticity. Static aeroelastic phenomena. Presentation of transient motion and/or dynamic instability phenomena by developing a current topic in aeroelasticity. Prerequisite: MANE-4310.
MANE-4310 Theory of Structures 3 Bi-Annually
  Normal and shear stresses in beams of nonsymmetric solid and thin-walled cross section subjected to bending and torsion. The principle of virtual displacements and Castiglianos theorems. Calculation of the stresses in statically determinate and indeterminate trusses, beams, frames, and rings. Structural stability.
MANE-4330 Analytical Methods in Solid Mechanics I 3 Fall
  Vectors, tensors, indicial and invariant notation, orthogonal curvilinear coordinates, integral theorems. Infinitesimal strain tensor. Conservation equations, stress tensor, equations of motion, boundary conditions. Variational procedures. Anisotropic and isotropic linear elastic constitutive equations. Elementary waves and vibrations in linear elastic solids. Prerequisites: ENGR-2530, MATH- 2400 or equivalent.
MANE-4340 Physics of Radiology 3 Fall
  An introductory course on physical principles behind the creation of diagnostic medical images. Medical imaging is one of the most exciting and technologically demanding fields of medicine. Topics include radiation interaction, radiation dosimetry, formation and quality of x-ray images, computed tomography (CT), nuclear medicine, magnetic resonance imaging (MRI), ultrasound imaging, and radiation detection and safety. Current research on image quality optimization, image-guided radio-surgery, 3-D/4-D ultrasound imaging, and Monte Carlo simulations are reviewed. Prerequisite: MANE-2830 or equivalent,
MANE-4350 Nuclear Instrumentation and Measurement 3 Fall
  Nuclear instrumentation and radiation detector systems for the collection, processing and displaying of signals related to photons, electrons, alpha particles and neutrons. Topics include: radiation interactions, counting statistics, ionization chambers, proportional counters, Geiger counters, scintillators, gamma-ray spectroscopy, semiconductor detectors, slow and fast neutron detection, liquid scintillation and TLD, and background and sheilding. Students will tour a 100 MeV electron accelerator facility and learn to use MCNP code to simulate an HPGe gamma spectrometer. Prerequisite: MANE-2830 or equivalent.
MANE-4360 Introduction to Fusion Devices and Systems 3 Fall
  Examination of the requirements and approaches for the commercial application of nuclear fusion. Discussion of fusion basics including fusion reactions, competing processes, energy balances, the need for plasmas, plasma confinement, and heating concepts. Analyses of fusion reactor embodiments based on magnetic and inertial confinement concepts. Identification of key physics, engineering, and technology issues associated with fusion development. Consideration of economics, environmental, and resource implications of fusion energy systems. Prerequisite: permission of instructor.
MANE-4370 Nuclear Engineering and Engineering Physics Laboratory 4 Fall
  A laboratory course covering topics in instrumentation, computer-controlled instrument interfacing and data acquisition, electronics (simple circuits, signal analysis and Fourier Transforms), applied physics, optical interferometry, laser-doppler interferometry, multiphase flow, fluid dynamics, and alpha spectroscopy. Error analyses are emphasized. Lab attendance is required along with formal written lab reports, which include data error analysis. Prerequisites: ENGR-2600 and ENGR-2830.
MANE-4380 NEEP Senior Design Project I 1 Fall
  This is the first of a two-semester sequence for seniors intended to be a capstone design project where students have the opportunity to utilize the broad range of their undergraduate experience in an interdisciplinary design project. Projects are selected to provide interaction between nuclear engineering and engineering physics majors to provide exposure to cross-fertilization of ideas and team interaction, which simulates anticipated future professional experience. The product of each design project is a comprehensive report or design proposal having both global and detail completeness. Under some circumstances, the project may involve development of cost information necessary to effect construction and may actually involve construction and commissioning of the designed apparatus. This is a writing-intensive course. Prerequisite: permission of instructor.
MANE-4390 NEEP Senior Design Project II 2 Spring
  This is a required continuation of MANE-4380
MANE-4400 Nuclear Power Systems Engineering 4 Spring
  Application of thermodynamics, heat transfer, and fluid flow principles to nuclear energy generation systems, including nuclear reactors, nuclear fusion devices and systems, and radiation technology. Engineering aspects of 1st and 2nd Laws of Thermodynamics will be emphasized. Characteristics and safety aspects of nuclear power equipment will be discussed. Prerequisite: ENGR-2250.
MANE-4410 Applied Atomic and Nuclear Physics 4 Fall
  Review of atomic and nuclear physics and quantum mechanics; application to atomic, molecular and nuclear systems; particle and photon emissions; photon/particle interactions; quantum statistics; field theory of electricity and magnetism; Maxwell equations in free space and within materials; applications to semiconductors, superconductors, accelerators, fusion systems, nuclear reactors; key measurements and databases. Prerequisites: ENGR-2830 or equivalent.
MANE-4420 Radiation Technology 3 Fall
  An introductory course on the generation, distribution, and interaction of ionizing radiation. Radiation sources such as radioisotopes, accelerators, focused ion beams, and cosmic rays are studied. Applications to semiconductor electronic devices, chemical polymerization, food preservation, sterilization, material modification, industrial and medical radiography, and radiation damage are presented. Prerequisite: MANE-2830.
MANE-4430 Fundamentals of Gas-Liquid, Two-Phase Flow 3 Fall
  Theory of systems involving two-phase flow of liquids and gases or vapors: flow regimes including bubbly, slug, annular, and droplet, and combinations, homogeneous, separated, or dispersed flows are introduced. Single-phase flows modeling concepts and modeling methods based on the drift-flux model, and the two-fluid model are utilized in the analysis of gas-liquid flow behavior. Prerequisites: ENGR- 2250 and either MATH-4600 or permission of instructor.
MANE-4440 Critical Reactor Laboratory 3 Spring
  Theory and operation of a low-power critical reactor facility: reactor layout, instrumentation, shielding, controls, hazards, problems of start-up and shutdown, and operating parameters. Approach to criticality, operating procedures, kinetics. Measurements are made of neutron flux, fuel rod worth, radiation, and various reactivity effects. Prerequisite: MANE-4480.
MANE-4450 Nuclear Fuel Management 3 Spring
  Sources of nuclear fuel. Mining, milling, and purification. Principles of isotope enrichment; specific methods with emphasis on gaseous diffusion. Fuel fabrication. Transport and reprocessing of spent fuel. In-core fuel management. Linear reactivity, batch, nodal, and pincell methods. Power shape and control management. Partial core reloading. Fuel depletion. Poison management and Haling strategy. Breeding and fast reactors. Economics of the fuel cycle. Computation of fuel cycle costs. Prerequisite: MANE- 2400.
MANE-4460 Nuclear Power Plant Operations 3 Fall
  Reactor instrumentation and control. License, technical specification, plans, and procedures. Limits, margins, and set points. System modeling and safety analyses. Refueling and 5059 changes. Startup and at-power tests. Surveillance. Expert systems. Power plant simulator laboratory. Operation of RPI reactor. Prerequisite: MANE- 2400 or equivalent.
MANE-4470 Radiological Engineering 4 Spring
  An introductory lacture and laboratory cousre on health physics principles and laboratory skills. Lecture topics include radioactive decay, dosimetry for internal and external exposures, shielding design and regulations on radiation safety. Experiments include calibration and operation of survey meters, measurements of various radioactive samples using NaI and HPGe gamma spectrometers, gas proportional counter, liquid scintillation counter, and MOSFET dosimeters, and a project on shielding design using MCNP code. Prerequisite: MANE- 2830 or equivalent.
MANE-4480 Physics of Nuclear Reactors 4 Spring
  Basic nuclear reactor theory; fuel cycles. Neutron diffusion and slowing down; criticality analyses for homogeneous and heterogeneous systems; reactor kinetics and control; reactivity coefficients; fuel management. Reactor systems and types; reactor design. Power plant safety. Prerequisite: MANE-2400 or equivalent.
MANE-4490 Mechatronics 3 Fall
  The synergistic combination of mechanical engineering, electronics, control engineering, and computer science in the design process. The key areas of mechatronics studied in depth are control sensors and actuators, interfacing sensors and actuators to a microcomputer, discrete controller design, and real-time programming for control using the C programming language. The unifying theme for this heavily laboratory-based course is the integration of the key areas into a successful mechatronic design. Prerequisites: ENGR-2350, MANE-4050, and senior standing.
MANE-4550 Analysis of Manufacturing Processes 3 Spring
  Review of basic aspects of manufacturing engineering including driving forces, quality attributes, tolerances, etc. Examination of basic principles of mechanics, engineering materials, analysis of both bulk-forming (forging, extrusion, rolling, etc.) and sheet- forming processes, metal cutting, and other related manufacturing processes. Discussion and role of computer-aided manufacturing in these areas. Prerequisites: ENGR-2530 and MANE-4030.
MANE-4610 Vibrations 3 Fall
  Free and forced linear vibrations of damped and undamped mechanical and electrical systems of n degrees of freedom. Continuous system vibration. Manual and computer methods of finding natural frequencies. Self- and nonselfadjoint problems. Eigenfunction expansion. Integral transforms. Methods of approximating natural frequencies: Rayleigh, Rayleigh-Ritz, Ritz-Galerkin, Stodola, Holzer, Myklestad, matrix iteration. Perturbation techniques. Stability criteria. Prerequisite: ENGR-2090 or equivalent.
MANE-4650 Fracture Mechanics 3 Annually
  The mechanics aspect of failure, fracture, and fatigue. Brittle fracture criteria. Derivation of laws of linear elastic fracture mechanics. Stress fields around cracks. Statistical aspects of fatigue. Cumulative damage. Contact fatigue. Prerequisite: ENGR- 2530.
MANE-4670 Mechanical Behavior of Materials I 3 Fall
  Mechanical behavior of materials and its influence on design applications. Topics include simple mechanical behavior (tension, compression, etc.), combined stress effects on deformation and fracture, ductile fracture, fracture toughness, creep behavior, fatigue, damping, and internal friction. Prerequisite: ENGR-2530.
MANE-4700 Solar Devices and Renewable Energy 3 Spring
  Solar irradiation, its nature, and its measurement. Insolation on tilted surfaces. Application of the principles of heat transfer and thermodynamics to the theoretical and experimental analysis of solar energy components used in the heating and cooling of buildings as well as hot water heating devices. Theoretical consideration of thermal storage devices, solar collectors, and solar-augmented heat pumps. Approximate techniques; other ongoing research topics. Open to juniors and above.
MANE-4710 Advanced Heat Transfer 3 Fall
  Comprehensive treatment of conduction, convection (including boiling and condensation), and radiation heat transfer. Thermal system design and performance (including heat exchangers). Emphasis is on physical and mathematical modeling of engineering systems for application of modern analytical and computational solution methods. Prerequisite: MANE-4010 or equivalent.
MANE-4720 Design and Analyses of Energy Systems 3 Spring
  This course applies basic concepts of fluid mechanics and heat transfer to a wide variety of energy system components such as heat exchangers, pumps, fans, and bearings. Design and analysis techniques including modeling and simulation methods are developed for energy systems such as piping networks and refrigeration units. Prerequisite: MANE-4010.
MANE-4750 Combustion Systems 3 Fall
  Introduction to elementary theory of combustion and applications to energy sources, fires, and explosions. Discussion of internal and external combustion piston and turbine engines, solid- and liquid-propellant rockets, fire and explosion hazards of gaseous fuels, propellant and explosive performance. Prerequisite: MANE-4010 or equivalent.
MANE-4760 Heating, Ventiliation, and Air Conditioning 3 Fall
  Principles for the control of air properties to meet comfort and industrial requirements, load determination, psychrometry, cycles, transmission, distribution, and automatic control. Prerequisite or corequisite: MANE-4010.
MANE-4800 Boundary Layers and Heat Transfer 3 Fall
  The Navier-Stokes equations and the boundary layer approximation. Exact solutions and integral methods of incompressible boundary layers. Transition; turbulence. Convective heat transfer in laminar and turbulent flow. Prerequisite: MANE-4070 or MANE-4010.
MANE-4830 Acoustics Engineering 3 Spring Alternate Years
  Solutions of acoustic wave and diffusion equations; stationary and moving monopole, dipole, quadrapole sources; geometrical acoustics; acoustical impedance, energy density, source strength, intensity flux; near and far field approximations; stationary and moving boundary interaction (viscous, dilational boundary layers, streaming, scattering). Applications include propeller, turbulent noise; total- and semi-anechoic chambers; loudspeakers; microphones, straight, tapered fluidic transmission lines; water hammer; musical instruments; room acoustics; sound absorbing, transmitting, and reflecting solid, liquid, gaseous media property determination. Prerequisites: ENGR-2090 and MATH-2400.
MANE-4850 Transatmospheric Vehicle Design 3 Fall
  Introduces all elements of the Transatmospheric Vehicle (TAV) design process from proposal preparation through detailed specification and prototyping. Students are organized into design teams to develop a solution to a TAV systems problem of practical interest by drawing on their background in aerospace engineering science, machine design, and manufacturing methods. Topics include problem definition and requirement analysis, design specifications, concept development, reliability, consideration of alternative solutions, engineering prototyping, and presentation skills. Writing-intensive assignments help develop communication skills. Juniors and seniors only.
MANE-4860 Introduction to Helicopter Design 3 Spring
  Aerodynamics and dynamics of lifting rotors. Design concepts by which rotor weight and stress are minimized and vehicle control is provided. Weight and engine power trends for configuration definition. Center of gravity and aerodynamic lift and moment for equilibrium and desired aircraft attitude. Methods for determining size, weight, and cost for a given payload, useful volume, and specified performance. Writing-intensive assignments help develop communication skills. Prerequisites: ENGR-2250 and MATH- 2400.
MANE-4880 Analysis of Engineering Problems 3 Spring
  An advanced course in mechanical engineering principles applied to practical engineering problems and systems. Topics vary and may include heat transfer, thermodynamics, rigid-body dynamics, fluid mechanics, and design synthesis. Complex variables and probability and statistics are also covered and applied to practical problems. A weekly project is required, with an oral or written presentation. GE/RPI students only. Prerequisite: ECSE-4470.
MANE-4900 Aeroelasticity and Structural Vibrations 3 Spring
  Basic concepts in static and dynamic aeroelasticity. Divergence and control surface effectiveness, using section models. Structural vibrations, free and forced motion of discrete and continuous structures, introduction to modal analysis. Aeroelastic behavior of complex structures, dynamic aeroelasticity. The role of numerical methods will be emphasized. Prerequisites: MATH-2400, MANE-2060 and MANE-4060 or equivalent.
MANE-4910 Fluid Dynamics Laboratory 2 Fall
  Laboratory experiments with primary emphasis on flow studies using subsonic and supersonic wind tunnels and shock tubes. Hot-wire anemometry and laser-Doppler velocimetry. Corequisite: MANE-4080.
MANE-4920 Aerospace Structures and Control Laboratory 2 Spring
  Laboratory experiments with primary emphasis on lightweight structures, structural dynamics, and control as it applies to aircraft and spacecraft. Experiments include elastic instability, linear and nonlinear structural vibrations, gyrodynamics, spacecraft stability, etc. Prerequisite: MANE-4060.
MANE-4940 Individual Projects in Mechanical Engineering, Aeronautical Engineering, Nuclear Engineering, or Engineering Physics 3 to 6 Fall and Spring
  Prerequisite: permission of instructor.
MANE-4960 Topics in Mechanical Engineering, Aeronautical Engineering, Nuclear Engineering, or Engineering Physics 3 Fall and Spring
 
MANE-5020 Combustion Engines 3 Bi-Annually
  Analysis of the ideal and actual process involved in combustion engines. Optimization of particular cycles for criteria such as maximum performance and efficiency and minimum pollution. Sources of energy for combustion engines such as fuels, oxidants, and propellants.
MANE-5040 Gas Turbine Performance Analysis 3 Bi-Annually
  Thermodynamic cycle and force-momentum principles applied to power plant performance analysis; operating performance characteristics of gas turbine components are developed from engineering fundamentals; power plants analyzed as integrated systems in various applications; emphasis on jet propulsion.
MANE-5060 Introduction to Compressible Flow 3 Bi-Annually
  One-dimensional isentropic compressible flow. Normal stationary and moving shock waves. Design on inlet and ducted diffusers, steady flow wind tunnels and shock tubes. Flow in ducts with friction and heat transfer.
MANE-5080 Turbomachinery 3 Bi-Annually
  Representation of performance of turbomachines; mechanism of energy transfer; factors limiting design and performance including surge, choking, and cavitation; twoand three-dimensional flow phenomena; performance analysis including multistage effects and off-design performance.
MANE-6060 Rotorcraft Performance, Stability, and Control 3 Fall
  Topics in flight dynamics, generic to rotorcraft. Lift and propulsion system, hovering, forward flight. Longitudinal and lateral trim. Dynamic stability. Corequisite: ENGR- 4050.
MANE-6070 Aerodynamics of Rotors 3 Offered by Individual Arrangement
  Momentum, blade element, vortex, and cascade theories. Nonuniform inflow; rigid and nonrigid wakes; rotating and fixed system interactions; steady and nonsteady flow. Static thrust (hover), axial flow (rotor ascent and descent, propeller forward flight), cross flow (rotor forward flight, propeller yaw) flight conditions. Prerequisites: MANE-4070 or equivalent.
MANE-6110 Kinematic Synthesis 3 Spring
  Analytical and geometrical theories of function, path, and motion generation of four bar linkages. Consists of 3, 4, and 5 accuracy points. Review of recent developments and use of computer graphic methods.
MANE-6120 Robotics 3 Offered by Individual Arrangement
  Elements of robot manipulators, mobility criteria, 3-D coordinate systems, matrix representation. Joint solutions and motion characteristics. Simulation on computer graphics. Hands-on experience of several robots and applications in industry.
MANE-6130 Dynamics of Rotating Machinery 3 Offered by Individual Arrangement
  Analytical basis of design for rotating machinery mounted on various types of bearing supports, as exemplified by turboshaft engines, centrifugal or axial flow compressors, vehicle drivetrains, etc. Description of analytical and numerical tools for evaluation of dynamic stability, critical speeds, and unbalance response of rotor-bearing systems. Special problems encountered in modern applications operating through and above the critical speeds, and means of their solution, including rigid and flexible rotor balancing and support damper design. Several informal laboratory sessions are included to enhance visualization of rotordynamic phenomena. Seniors and graduate students only. Prerequisite: MANE-4170.
MANE-6150 Advanced Structural Analysis 3 Offered by Individual Arrangement
  Development and application of the variational formulation to structural dynamics problems involving effects such as rotary inertia, shear deformation, extensionality, and nonlinearities. Several papers published in the technical journals are also discussed during the semester.
MANE-6160 Advanced Design with Composites 3 Spring
  Advanced topics in structural design with continuous-fiber advanced composites. Development of plate equations including interlaminar stresses. Introduction to and use of constrained numerical optimization program. Statistical effects on failure. Saint Venants principle for anisotropic materials. Failure criteria, including stress concentration effects. Plate and shell buckling. A detailed student design project is assigned. Prerequisite: MANE-4130 or permission of instructor.
MANE-6170 Mechanics of Solids 3 Spring
  Introduction to Cartesian tensors, infinitesimal strain kinematics, equations of motion. Models of material behavior: isothermal linear isotropic and anisotropic elasticity, thermoelasticity, linear viscoelasticity, and rate-independent plasticity. General principles in elasticity: minimum potential and complementary energy, reciprocal theorem. Formulation of linear elastic boundary value problems, methods of solutions for 2-D and 3-D elasticity problems. Correspondence principle of linear viscoelasticity, applications to simple structural components. Use of symbolic computations in the solution of BVP. (Cross listed as CIVL- 6170. Students cannot obtain credit for both this course and CIVL-6170.)
MANE-6180 Mechanics of Composite Materials 3 Fall
  Mechanics of elastic heterogeneous solids. Plasticity of composite materials. Thermoelastic and thermoplastic behavior. Mechanics of distributed damage. Mechanical behavior. (Cross listed as CIVL-6180. Students cannot obtain credit for both this course and CIVL-6180.) Prerequisite: one graduate course in mechanics of solids.
MANE-6200 Plates and Shells 3 Annually
  Preliminaries on linear, three-dimensional elasticity theory. Reduction of the elasticity theory to theories of plates and shells. Anisotropy. Nonlinear theories. Applications. (Cross listed as CIVL-6200. Students cannot obtain credit for both this course and CIVL-6200.)
MANE-6210 Structural Stability 3 Annually
  Indicial and invariant notation, elements of variational calculus and nonlinear elasticity. Variational derivation of the linear stability equations for plates, rods, open thin-walled sections and cylindrical shells. Solutions of stability problems in each of these systems and development of approximation procedures. (Cross listed as CIVL-6210. Students cannot obtain credit for both this course and CIVL-6210.)
MANE-6220 Thermal Stresses 3 Offered by Individual Arrangement
  The coupled linear thermoelastic and generalized heat equations, as derived from irreversible thermodynamics. Solutions in terms of Boussinesq-Papkovitch potentials. Reduction of thermoelastic problems to isothermal elastic problems. Steady state and transient elastic, anelastic, and viscoelastic thermal-stress analysis.
MANE-6240 Introduction to Neural Networks 3 Fall Alternate Years
  Neural networks are program and memory at once, useful where traditional techniques fail, i.e., for artificial speech and image recognition. Emphasis on existing and emerging engineering applications. Parallel distributed processing, Hebbs rule, Hopfield net, back-propagation algorithm, perceptrons, unsupervised learning, Kohenen self-organizing map, genetic algorithms, neocognitron, adaline. Illustrated with computer programs and lectures. (Crosslisted as DSES-6870. Students cannot obtain credit for both this course and DSES-6870).
MANE-6250 Continuum Mechanics 3 Fall
  General curvilinear coordinates, determinants, diagonalization of symmetric matrices, polar decomposition theorem. Description of finite deformation and motion, convected coordinates. Conservation equations, Cauchy and Piola-Kirchhoff stress tensors and equations of motion. Boundary conditions. Thermodynamics of continua, invariance principles, objective tensors. Constitutive equations, nonlinear elasticity, thermoelasticity, heat conducting fluids. Linearizations. Variational derivation of the equations of nonlinear elasticity. Prerequisites: MANE- 4330 or permission of instructor.
MANE-6260 Applications in Linear Elasticity 3 Offered by Individual Arrangement
  Problems in isotropic linear elasticity. Torsion and flexure of bars. Plane stress and plane strain. The Boussinesq- Papkovitch potentials and their application to certain three-dimensional problems. Stress concentration and contact of elastic bodies. Dynamic potentials and wave equations. Propagation, reflection, and refraction of elastic waves. Vibrations of elastic bodies. Prerequisites: MANE-4330 or equivalent.
MANE-6270 Environmental Radiation Safety Controls 4 Offered by Individual Arrangement
  Consideration and control of the health hazards peculiar to the atomic industry. Radiological units; exposure control; shielding; fallout; toxic materials; shipping and storage; waste disposal; legal aspects. Introduction to criticality hazards. Nonionizing radiation. Prerequisites: MANE-2400 or equivalent.
MANE-6280 Nuclear Reactor Analysis II 3 Fall
  Reactor kinetics, stability, and control. Perturbation methods, reactivity coefficients; feedback mechanisms, longterm reactivity changes. Fission product effects on reactor startup and spatial stability. Fuel depletion. Theory of control and burnable poisons. Prerequisite: MANE-4480.
MANE-6290 Radiation Transport Methods 3 Spring Alternate Years
  Linear and nonlinear Boltzmann equations. Analytical solutions. Computer solution by P-N, S-N, diffusion, moments, integral, and Monte Carlo methods. Energy group averaging, scattering angle representation, and transport approximations. Perturbation and adjoint applications. Heavy ion and electron transport. Transport in interacting particle and photon systems. Prerequisite: MANE- 4480.
MANE-6300 Numerical Methods in Reactor Analysis 3 Fall Alternate Years
  Difference equations; matrix operation, linear systems, matrix eigenvalue problems, multi-group diffusion, and transport theory methods. Sn calculations, Monte Carlo methods. Application to nuclear engineering calculations, such as flux and power distributions, heat conduction, programming reactor problems for digital computers, codes, etc. Prerequisites: MANE-4480, MATH-4600 or equivalent.
MANE-6310 Reactor Design 3 Spring Alternate Years
  The reactor design problem is studied using current methods. Emphasis is placed on thermal and hydraulic analyses of power reactors, neutronics, fuel cycles, economics, nuclear analysis, control, siting, and safety. Complete reactor systems are analyzed. Standard reactor design codes are utilized. Prerequisites: MANE-2400 (may be concurrent).
MANE-6320 Radioactive Waste Management 3 Spring Alternate Years
  Characterization and description of low-level and highlevel wastes. Calculational methods, radiological considerations, regulatory requirements. Radwaste treatment system in nuclear power plants, enrichment and reprocessing plants. Volume reduction and solidification of waste. Transportation and burial site practices. Environmental surveillance. Decontamination and decommissioning of nuclear facilities. Prerequisite: MANE-2400.
MANE-6350 Radiation Shielding 3 Offered by Individual Arrangement
  Design, analysis, and confirmation of radiation shields. Point kernel, removal-diffusion, P-N, discrete ordinates, and Monte Carlo computation method. Photon, neutron, and charged particle transport data, applications, and tests. Shield materials and behavior. Dosimetry in shield confirmation. Prerequisite: MANE-4480.
MANE-6360 Reactor Reliability Safety 3 Fall
  Theory and applications of reliability and risk assessment. Boolean algebra, logic diagrams, redundancy, and majority- vote configurations. System synthesis by reliability and fault tree techniques, quantitative evaluation, uncertainty analysis. Common cause events, failure data, and failure models. Allocation of risk to subsystems. Availability, repair policies, renewal theory. Operational reliability methods. Prerequisites: ENGR-4050 and MATH-4600.
MANE-6370 Thermal-Hydraulic Design of Nuclear Reactors 3 Offered by Individual Arrangement
  An introduction to the principles underlying the thermalhydraulic design of nuclear power reactors. Topics include plant thermal limits, sub-channel analysis, thermalhydraulic stability analysis, and reactor system response during both normal and postulated accident conditions. Prerequisite: MANE-6840 or equivalent.
MANE-6380 Nuclear Reactor Materials 3 Offered by Individual Arrangement
  The physical metallurgy and associated physical chemistry of problems encountered in the application of materials in nuclear reactors is discussed. Specifically, the metallurgy and physical chemistry of ceramic fuels (e.g., oxygen potentials), the primary fuel densification and pellet-clad interaction mechanisms, irradiation-induced creep, hardening, and embrittlement mechanisms, and the properties of zircalloy are covered. Prerequisites: MANE-4480.
MANE-6390 Atomic and Nuclear Physics Applications 3 Spring Alternate Years
  Principles and design of spectrometers and accelerators; NMR, ESR, Mossbauer methods, lasers, microwave devices, and combinations of these; sources, beam transport and focusing; targets and effects. Prerequisite: MANE-4410.
MANE-6400 Analytical Dynamics 3 Fall
  A fundamental course in dynamics of rigid and flexible bodies. Review of kinematics and Newtonian dynamics; virtual variations and fundamentals of calculus of variations; generalized coordinates, velocities and momenta; constraints; generalized Hamiltons principle and Lagrangean dynamics; rotational dynamics, orientation angles and Euler parameters; brief introduction to the analysis of nonlinear systems and stability of motion. Applications to the motion of rigid and flexible bodies. The role of symbolic manipulation in dynamics is introduced.
MANE-6410 Celestial Mechanics 3 Offered by Individual Arrangement
  Introduction to celestial mechanics, orbits, and perturbations, exterior ballistics, powered flight trajectories, space flight trajectories.
MANE-6420 Multibody Dynamics 3 Spring Alternate Years
  Analytical and numerical analysis of dynamic behavior of multibody mechanical systems. Emphasis on understanding all aspects of modeling and analysis process associated with real (spacecraft, automotive, biomechanical, etc.) systems. Review of traditional dynamic analysis methods (Newtonian-Euler, Lagrange, etc.), presentation of more efficient, powerful, recently developed methods (including Kanes method). Comparison of the different formulations and their applicability to computer simulation. Treatment of constraints, extraction of data from equations of motion, and computational issues.
MANE-6430 Nonlinear Vibrations 3 Spring
  A fundamental course in nonlinear vibrations and stability. Basic concepts about linear and nonlinear systems; Routh-Hurwitz and Liapunovs stability criteria; systems with periodic coefficients and Floquet theory; effects of nonlinearities; limit cycles, jump, saturation, nonlinear resonances, modal energy exchange, etc.; perturbation methods: straightforward perturbations, Lindstedt- Poincare, harmonic balancing, multiple time scales; steady-state and transient responses of nonlinear systems. Applications to discrete and structural systems. Use of symbolic manipulation to analyze problems.
MANE-6450 Mechanics of Materials Processing 3 Offered by Individual Arrangement
  Modeling and analysis of common manufacturing processes. Topics include bulk-forming, sheet-forming, and casting processes. Classical analysis techniques, upper bound analysis, slip-line field theory, asymptotic methods, and the finite element method are investigated. Prerequisite: MANE-4330 or MANE-6170 or equivalent.
MANE-6460 Mechanical Behavior of Materials II 3 Spring
  Failure of structural materials under cyclic stress. Topics include historical review, low cycle fatigue, role of cyclic plastic strain, mean stress, notch behavior, fatigue crack initiation and propagation, fracture mechanics approaches, JIntegral and short crack problems, environment, elevated temperature, testing methods.
MANE-6468 Health Physics and Medical Aspects of Radiation 3 Fall Alternate Years
  Use of radioisotopes and radiation in nuclear medicine, radiation chemistry, basis of dosimetry, ionizing and nonionizing energy transfer processes in living tissue and cells. Radiation effects on the structure of nucleic acids, proteins, and cell membranes with emphasis on mechanisms by which cell viability is lost. Background in radiation chemistry is developed in particular for engineering majors. Applications are given in nuclear medicine, cancer therapy, and radiation in the environment.
MANE-6490 Plasticity 3 Fall
  Stress invariants. Polyaxial stress-strain relation for strainhardening materials. Ideal plasticity, various yield conditions and associated flow rules. Variational principles. Limit analysis. Applications in elastic-plastic stress analysis, metal forming, plastic collapse, and plastic instability.
MANE-6500 Non-Newtonian Fluid Mechanics 3 Offered by Individual Arrangement
  Flow of non-Newtonian fluids such as polymeric liquids, granular mixtures, etc. Flow phenomena and material functions. Integral and differential constitutive equations for generalized Newtonian, linear viscoelastic, and ordered fluids.
MANE-6510 Theory of Potential Flow 3 Bi-Annually
  Review of vector operations applied to fluid mechanics, integral theorems, equations of motion, momentum theorem, energy relations. Two-dimensional motion velocity and stream potentials. Complex variables with theorem applications, Cauchys theorem mapping, conformal representation. Streaming motions, circle theorem.
MANE-6520 Advanced Topics in Two-Phase Flow 3 Spring Alternate Years
  Treatment of advanced topics encountered in two-phase flow, including averaging of conservation equations, interfacial transport and constitutive equations, virtual mass effects, matrix formulation of two fluid modeling, well posedness, drift flux modeling and transient analysis, dynamic and continuity waves and flooding phenomena, stability analysis of two-phase systems, numerical techniques, and two-phase flow instrumentation. Prerequisite: MANE-6850.
MANE-6530 Turbulence 3 Spring
  Navier-Stokes equations, linear stability, vorticity and its origin, transition in wall-bounded and free-shear flows, statistics and Reynolds averaging, homogeneous turbulence, coherent structures, laboratory methods for study of turbulence, including turbulence measurements and turbulence modeling. Prerequisite: MANE-4800 or MANE- 4110 or equivalent.
MANE-6540 Advanced Thermodynamics 3 Annually
  General principles and applications of equilibrium thermodynamics. Second law analysis of energy systems. Thermodynamic relations, equations of state, properties of single and multiphase systems. Elementary statistical thermodynamics. Fundamentals of nonequilibrium thermodynamics.
MANE-6550 Theory of Compressible Flow 3 Fall
  General equations of compressible flow. Specialization to inviscid flows in two space dimensions. Linearized solutions in subsonic and supersonic flow. Characteristic equations for supersonic flow with applications in external and internal flow. One-dimensional nonsteady compressible flow. Introduction to transonic flow. Prerequisite: MANE- 4070 or equivalent.
MANE-6580 Gas Dynamics 3 Offered by Individual Arrangement
  Properties of gases at high temperatures; thermodynamics and chemical kinetics. Macroscopic description of highspeed flows of chemically reacting and ionized gases. Shock tube theory and applications. Reentry aerophysics. The interaction of high-speed plasma flows with electromagnetic fields. Prerequisite: permission of instructor.
MANE-6610 Transonic Aerodynamics 3 Spring Alternate Years
  Introduction to the equations of inviscid compressible flow; expansion procedure for airfoils in transonic flow and the Karman-Guderley equation; transonic-shock jump relations; the hodograph equations for transonic flow, with elementary applications; lift and drag integrals; transonic far fields; axially symmetric flow. Prerequisite: MANE-6550 or equivalent.
MANE-6630 Conduction of Heat Transfer 3 Fall
  An introduction to the mathematics of conduction heat transfer. Applications of results illustrated by examples from furnace design, cooling of electric components, building design, heat exchanger design.
MANE-6640 Radiation Heat Transfer 3 Annually
  An introduction to radiation heat transfer in diathermanous media and participating media. Selected applications from spacecraft design, furnace design, meteorology, temperature measurement, environmental control.
MANE-6650 Convective Heat Transfer 3 Spring
  Fundamental study of convection heat transfer in laminar and turbulent internal and external flows. Unsteady flows, combined heat and mass transfer, conjugated unsteady heat transfer, and buoyancy induced convection. Selected applications from aeronautics and heat exchanger design. Prerequisite: MANE-4800 or equivalent.
MANE-6660 Fundamentals of Finite Elements 3 Fall
  Graduate-level course on the fundamental concepts and technologies underlying finite element methods for the numerical solution of continuum problems. The course emphasizes the construction of integral weak forms for elliptic partial differential equations and the construction of the elemental level matrices using multi-dimensional shape functions, element level mappings, and numerical integration. The basic convergence properties of the finite element method will be given. This course serves as preparation for students working on finite element methods. (Cross listed as CIVL-6660. Students cannot obtain credit for both this course and CIVL-6660.) Prerequisite: MATH-2400 or equivalent.
MANE-6670 Nonlinear Finite Element Methods 3 Fall Odd Years
  The formulations and solution strategies for finite element analysis of nonlinear problems are developed. Topics include the sources of nonlinear behavior (geometric, constitutive, boundary condition), derivation of the governing discrete equations for nonlinear systems such as large displacement, nonlinear elasticity, rate independent and dependent plasticity and other nonlinear constitutive laws, solution strategies for nonlinear problems (e.g., incrementation, iteration), and computational procedures for large systems of nonlinear algebraic equations. (Cross listed as CIVL-6670. Students cannot obtain credit for both this course and CIVL-6670.) Prerequisite: CIVL-6660 or MANE-6660.
MANE-6680 Finite Element Programming 3 Spring Odd Years
  Examines the implementation of finite element methods. Consideration is first given to the techniques used in classic finite element programs. Attention then focuses on development of a general geometry-based code which effectively supports higher order adaptive technique. Technical areas covered include: effective construction of element matrices for p-version finite elements, ordering of unknowns, automatic mesh generation, adaptive mesh improvement, program and database structures. Implementation of automated adaptive techniques on parallel computers is also covered. (Cross listed as CIVL-6680. Students cannot obtain credit for both this course and CIVL-6680.) Prerequisite: CIVL-6660, MANE-6660, CSCI-6860 or MATH-6860.
MANE-6690 Advanced Finite Element Formulations 3 Spring Even Years
  This course focuses on generalized weighted residual methods and multi-field variational principles for constructing approximate solutions to sets of governing differential equations and associated boundary conditions. Topics include hybrid and mixed methods, boundary element formulations, p-version finite elements, global/local procedures, and penalty methods. Problem areas include solid mechanics (nearly incompressible solids, plates, and shells), fluid mechanics including compressible flows, and heat transfer. (Cross listed as CIVL-6690. Students cannot obtain credit for both this course and CIVL-6690.) Prerequisite: CIVL-6660 or MANE-6660.
MANE-6700 Finite Element Methods in Structural Dynamics 3 Fall Odd Years
  Solutions to the free vibration and transient dynamic responses of two- and three-dimensional structures by the finite element method are considered. The governing finite element matrix equations are derived and numerical aspects of solving these time-dependent equations considered. Topics include the formulation of the eigenvalue problem, algorithms for eigenvalue extraction, time integration methods including stability and accuracy analysis, and finite elements in time. Modal analysis and direct time integration techniques are compared for a variety of twoand three-dimensional problems. (Cross listed as CIVL- 6700. Students cannot obtain credit for both this course and CIVL-6700.) Prerequisite: CIVL-6660 or MANE- 6660.
MANE-6710 Design and Simulation of Experiments in Heat and Mass Transfer 3 Fall
  This graduate course provides interactive, hands-on learning of experimental techniques, finite element modeling, and fundamentals of fluid mechanics and heat transfer. Topics include analogy between heat, mass, and momentum transfer. Dimensional analysis. Steady state and transient techniques for property measurements. Errors. Heat transfer coefficients in forced and free convection. Shear stress and friction coefficients on the flat plate. Enclosures. Prerequisites: MANE-6630 and MANE- 6650, or equivalent.
MANE-6720 Computational Fluid Dynamics 3 Spring Even Years
  Course focuses on computational approaches to solve the Navier-Stokes equations. Course assumes knowledge of numerical methods and therefore directly attacks the obstacles to applying these methods to the Navier-Stokes equations. Issues concerning implementation of finite difference methods (FDM), finite volume methods (FVM) and finite element methods (FEM) will be discussed. These issues include: the discrete formulation, nonlinear equation iterator (steady)/marcher (time-accurate), linear equation formation, boundary condition prescription and linear equation solution. Prerequisite: MANE-6660 or equivalent.
MANE-6730 Tribology 3 Fall Odd Years
  A basic course in tribology that covers both the fundamental and applied aspects of the subject. Content includes viscometry, the Reynolds equation, thrust and journal bearings (including design), thermal effects, dynamic loading and instability of bearings, rolling contact bearings, dry bearings, and theories of wear. This course includes design principles and data and is basic to other courses offered in tribology. Restricted to graduate students.
MANE-6740 Advanced Topics in Tribology 3 Spring
  A course for students already versed in the basic concepts of hydrodynamic lubrication. Advanced topics of current interest in the field are stressed. Material may be drawn from the literature and taught by experts in the particular field. Recent areas covered include elastohydrodynamic lubrication, bearing and rotor dynamics, inertia and turbulence effects. Restricted to graduate students. Prerequisite: MANE-6730 or permission of instructor.
MANE-6750 Generalized Finite Element Methods 3 Spring Odd Years
  Fundamentals of modern numerical techniques (e.g., partition of unity methods) which overcome longstanding difficulties associated with traditional FEM (e.g., mesh generation and resolution of singularities). Topics include scattered data interpolation, weighted residual methods, integral equation methods for exterior problems (applications to MEMS modeling), multiscale solution techniques using wavelets.Prerequisite: MANE-4240 or CIVL 4240 or equivalent.
MANE-6760 Finite Element Methods for Fluid Dynamics 3 Spring Odd Years
  Analysis of finite element methods for basic classes of problems in fluid mechanics. Starting with scalar transport equations and building to compressible and incompressible Navier-Stokes equations. Emphasis on developing and analyzing formulations that are stable and higher-order accurate such as Galerkin/least-squares methods and SUPG methods. Unsteady formulations are proposed using space-time methods and semi-discrete methods. Prerequisite: MANE-6660.
MANE-6780 Numerical Modeling of Failure Processes in Materials 3 Spring Even Years
  State of the art in computational modeling of failure processes in materials. Topics include numerical modeling of discrete defects, distributed damage and multiscale computational techniques including multiple scale perturbation techniques, boundary layer techniques, and various global-local approaches. (Cross listed as CIVL-6780. Students cannot obtain credit for both this course and CIVL-6780). Prerequisite: CIVL-6660 or MANE-6660.
MANE-6790 Mathematical Applications in Nuclear Engineering and Engineering Physics 3 Spring
  Nuclear Engineering and Engineering Physics Advanced methods of mathematics with applications to problems relating to a broad range of mathematical physics such as required for analysis of fluid mechanics, heat transfer, nuclear reactions, bending and vibrations, wave motions. Ordinary and partial differential equations, Laplace transforms, series solutions, boundary value problems, vector analysis, higher-dimensional calculus, complex variables. Prerequisite: MATH-2400.
MANE-6800 Manufacturing Systems Integration 3 Fall
  Examination of the basic elements that are used to integrate the design and manufacture of capital and consumer products; manufacturing information systems, CAD/CAM systems, and manufacturability considerations when integrating unit process operations.
MANE-6810 Advanced Manufacturing Methods 3 Spring
  Some of the basic principles and recent developments in advanced manufacturing processes and methods will be covered. Basics of mechanics of materials and plasticity theory will be covered initially. Areas of manufacturing to be examined are Part Description, Primary Forming, Secondary Forming, and Finish Machining. Examples of these areas are to be given and follow a selected and logical sequence of design and manufacturing.
MANE-6820 Finite Deformation Plasticity: Theory and Application 3 Spring Odd Years
  Kinematics of finite deformation. Elastic-plastic and elasto- viscoplastic constitutive behavior for isotropic and strain-induced anisotropic materials. Integration algorithms and finite element formulations for solving practical problems. Prerequisite: MANE- 6170 or equivalent.
MANE-6830 Combustion 3 Spring Odd Years
  Review of fundamentals of thermodynamics, chemical kinetics, fluid mechanics, and modern diagnostics. Discussion of flame propagation, thermal and chain explosions, stirred reactors, detonations, droplet combustion, and turbulent jet flames. Introduction to computational tools for complex equilibrium and kinetic calculations. Application to problems such as pollutant formation. (Cross listed as CHME-6830. Students cannot obtain credit for both this course and CHME-6830.) Prerequisite: permission of instructor.
MANE-6840 An Introduction to Multiphase Flow and Heat Transfer I 3 Fall
  This course is intended to give students a state-of-the-art understanding about single and multicomponent boiling and condensation heat transfer phenomena. Applications include the analysis of nuclear reactors, oil wells, and chemical process equipment. Students satisfactorily completing this course are expected to thoroughly understand the current thermal- hydraulics literature on multiphase heat and mass transfer and be able to conduct independent research in this field. (Cross listed as CHME-6840. Students cannot obtain credit for both this course and CHME-6840.) Prerequisite: a working knowledge of fluid mechanics and heat transfer.
MANE-6850 An Introduction to Multiphase Flow and Heat Transfer II 3 Spring
  This course is intended to give students a state-of-the-art understanding in multicomponent flow phenomena. Applications in the chemical process, petroleum recovery, and fossil/nuclear power industries are given. Specific areas of coverage include two-phase: fluid mechanics, pressure drop, modeling and analysis, stability analysis, critical flow and dynamic waves, flow regime analysis, and phase separation and distribution phenomena. (Cross listed as CHME-6850. Students cannot obtain credit for both this course and CHME-6850.) Prerequisite: CHME-6840 or MANE-6840.
MANE-6860 Rotary Wing Structural Dynamics I: Vibrations 3 Annually
  Dynamics of flexible rotating beams, gyroscopic motion, drive system dynamics. Analysis of fuselage vibrations, with emphasis on rotor-fuselage coupling and design for minimum vibration; vibration test procedures. Prerequisite: MANE-4610.
MANE-6870 Rotary Wing Structural Dynamics II: Aeroelastic Stability 3 Annually
  Continuation of MANE-6860 with emphasis on aeromechanical and aeroelastic stability of rotors and rotor-pylon systems; stability of linear multi-degree-of-freedom systems, Floquet theory, ground and air resonance, unsteady aerodynamics, stall flutter, test procedures. Prerequisites: MANE-6860, MANE-4900 and MANE-4070 or equivalent.
MANE-6880 Product Realization Spring
  Concepts and tools that enable engineers and business leaders to jointly make sound business/technology decisions in moving from ideas and designs to real products will be taught using lectures, cases and a major project that will enhance the change of success of a new venture business. Topics: Disciplined Toll-Gate Processes, Customer Contract, Technical Risk Management, Design Decisions, Quality Management, Sourcing, Product Launch (Cross listed as MGMT-6890. Students cannot obtain credit for both this course and MGMT-6890). Prerequisites: Engineering B.S. or MGMT-6040 and MGMT-6050 or MGMT-6620 or permission of the instructor. equivalent.
MANE-6890 Mechanical Diagnostics 3 Fall
  A comprehensive introduction to mechanical fault detection, isolation, and severity assessment. Topics include mechanical fault signature generating mechanism; advanced mechanical signal processing including time domain processing, frequency domain processing and timefrequency distribution; system identification and modelbased diagnostics; pattern classification techniques and diagnostic algorithms for mechanical components including rolling bearings, gears, and cutting tools. Prerequisite: ENGR-4050 or equivalent.
MANE-6900 Seminar Fall and Spring
 
MANE-6940 Individual Projects in Mechanical Engineering, Aeronautical Engineering, Nuclear Engineering, or Engineering Physics 3 to 6 Fall and Spring
  Prerequisite: permission of instructor.
MANE-6960 Topics in Mechanical Engineering, Aeronautical Engineering, Nuclear Engineering, or Engineering Physics 3 Fall and Spring
 
MANE-6970 Professional Project NA
  Active participation in a semester-long project, under the supervision of a faculty adviser. A Professional Project often serves as a culminating experience for a Professional Master's program but, with departmental or school approval, can be used to fulfill other program requirements. With approval, students may register for more than one Professional Project. Professional Projects must result in documentation established by each department or school, but are not submitted to the Graduate School and are not archived in the library. Grades of A,B,C, or F are assigned by the faculty adviser at the end of the semester. If not completed on time, a formal Incomplete grade may be assigned by the faculty adviser, listing the work remaining to be completed and the time limit for completing this work.
MANE-6980 Master's Project 1 to 9 NA
  Active participation in a Masters-level project under the supervision of a faculty adviser, leading to a masters project report. Grades of IP are assigned until the masters project has been approved by the faculty adviser. If recommended by the adviser, the masters project may be accepted by the Office of Graduate Education to be archived in the Library. Grades will then be listed as S.
MANE-6990 Master' Thesis 1 to 9 NA
  Active participation in research, under the supervision of a faculty adviser, leading to a masters thesis. Grades of IP are assigned until the thesis has been approved by the faculty adviser and accepted by the Office of Graduate Education to be archived in a standard format in the library. Grades will then be listed as S.
MANE-7020 Combustion and Reacting Flows 3 Bi-Annually
  Fundamental study of reacting flows with emphasis on the mutual relationship of fluid mechanics, heat transfer, mass transfer, and chemistry in combustion problems. Detonation and deflagration, spontaneous ignition, flame extinction, laminar and turbulent diffusion flames, and droplet and particle combustion. Prerequisite: Permission of instructor.
MANE-7040 Numerical Methods in Fluid Mechanics 3 Bi-Annually
  Selected topics in the numerical solution of the fluid flow equations of motion. Descriptions of fundamental features of partial differential equations. Specific numerical approaches (panel method, finite differencing) associated with low speed and viscous flows are discussed in detail. Computer applications of these techniques. Prerequisite: permission of instructor.
MANE-7060 Two Phase Heat Flow 3 Bi-Annually
  Heat transfer and fluid mechanics of gas-liquid flow. Methods of predicting flow regimes inside tubes. Condensing and boiling heat transfer coefficients and mid dot. Critical boiling heat flux. Boiler stability. Vapor-liquid interracial resistance. Choking.
MANE-7080 Turbomachinery II 3 Bi-Annually
  Compressor surge, rotating stall, cooled turbine performance, supersonic compressors and turbines, blade flutter, asymmetric inlet flow effects, and/or subjects to meet the special interests of students. Prerequisite: MANE-5080.
MANE-9990 Dissertation 1 to 15 NA
  Active participation in research, under the supervision of a faculty adviser, leading to a doctoral dissertation. Grades of IP are assigned until the dissertation has been publicly defended, approved by the doctoral committee, and accepted by the Office of Graduate Education to be archived in a standard format in the library. Grades will then be listed as S.