Mechanical Engineering Graduate Level Courses

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ME 500 - Thermodynamics
The empirical, physical basis of the laws of thermodynamics. Availability/exergy concepts and applications. Properties and relations between properties in homogeneous and heterogeneous systems. The criteria of equilibrium. Application to a variety of systems and problems including phase and reaction equilibrium.
ME 501 - Statistical Thermodynamics
The molecular interpretation of thermodynamic equilibrium. Development of the partition function. Solution of the Schrodinger equation for simple cases. The Maxwell-Boltzmann formulation of statistical mechanics and application to ideal gasses, radiation, laser diagnostics, sprays, and solids. The Gibbs formulation of statistical mechanics and applications to real gases. Kinetic theory and application to transport properties and chemical kinetics.
ME 505 - Heat and Mass Transfer
Heat and mass transfer by diffusion in one-dimensional, two-dimensional, transient, periodic, and phase change systems. Convective heat transfer for external and internal flows. Similarity and integral solution methods. Heat, mass, and momentum analogies. Turbulence. Buoyancy driven flows. Convection with phase change. Radiation exchange between surfaces and radiation transfer in absorbing-emitting media. Multimode heat transfer problems.
ME 506 - Two-Phase Flow and Heat Transfer
Basic two-phase flow equations, homogeneous model, drift-flux model, flow regimes, pressure drop in two-phase flow. Nucleation and bubble dynamics, pool boiling, subcooled boiling, forced convection boiling, critical heat flux in pool boiling, critical heat flux in forced convection boiling, minimum heat flux, film boiling, post-dryout heat transfer. Flow instabilities, choking in two-phase flow, film and dropwise condensation. Applications to heat exchangers and special boiling and two-phase flow problems.
ME 507 - Laser Processing
ME 508 - Heat Transfer in Biological Systems
ME 509 - Intermediate Fluid Mechanics
Fluid properties. Basic laws for a control volume. Kinematics of fluid flow. Dynamics of frictionless incompressible flow and basic hydrodynamics. Equations of motion for viscous flow, viscous flow applications, boundary layer theory. Wall turbulence, lift and drag of immersed bodies.
ME 510 - Gas Dynamics
Flow of compressible fluids. One-dimensional flows including basic concepts, isentropic flow, normal and oblique shock waves, Rayleigh line, Fanno line, and simple waves. Multidimensional flows including general concepts, small perturbation theory for linearized flows and method of characteristics for nonlinear flows.
ME 513 - Engineering Acoustics
The simple oscillator. Wave motion in strings, bars, and membranes. Free, forced, and transient response. Applications to vibration isolation. Fourier series and integrals. Subjective response to sound. The acoustic wave equation. Acoustic intensity and energy density. One-dimensional acoustic problems: duct acoustics. Simple sources; monopole, dipole, quadrapole. Room acoustics.
ME 518 - Analysis of Thermal Systems
ME 525 - Combustion
Physical and chemical aspects of basic combustion phenomena. Classification of flames. Measurement of laminar flame speed. Factors influencing burning velocity. Theory of flame propagation. Flamability. Chemical aspects. Chemical equilibrium. Chain reactions. Calculations and measurement of flame temperature. Diffusion flames. Fuels. Atomization and evaporation of liquid fuels. Theories of ignition, stability, and combustion efficiency.
ME 526 - Spray Application and Theory
ME 527 - Solar Energy Systems
Fundamentals: spectral distribution of solar radiation, solar geometry, availability of solar energy, analysis of solar collectors, and thermal energy storage. Heating and cooling: solar-thermal energy systems, control methodology, transient analysis of thermal performance, water and air heating systems, and solar-powered cooling systems. Advanced concepts: solar ponds, solar stills, solar-powered dehumidification, solar power plants, and ocean thermal energy conversion.
ME 533 - Turbomachinery II
Aerodynamic analysis and design of axial flow and radial flow gas compressors and gas turbines. Blade element performance (deflection, profile and shock losses, etc.). Meridional flow analysis for general radial equilibrium. Secondary flow and endwall boundary layer models. Centrifugal compressor modeling. Unsteady flow, rotating stall, and surge.
ME 538 - Air Breathing Propulsion
Analysis of operating characteristics of turbojet, turbofan, turboshaft, afterburning, and ramjet propulsion systems. Analysis and design of inlet, diffuser, combustor, compressor, turbine, nozzle. Component matching and off-design performance. Inlet distortion, nozzle-afterbody, and installation losses. Mission analysis.
ME 540 - Internal Combustion Engines
ME 550 - Advanced Stress Analysis
Studies of stresses and strains in three-dimensional problems. Failure theories and yield criteria. Stress function approach to two-dimensional problems. Bending of nonhomogenous asymmetric curved beams. Torsion of bars with noncircular cross sections. Energy methods. Elastic stability. Introduction to plates.
ME 551 - Finite Element Analysis
An introduction to the basic principles of finite element method. Weak variational form of boundary-value problems. Finite element formulation of one- and two-dimensional boundary-value problems. Time-dependent problems. Computer implementation. Examples are chosen from heat transfer, solid mechanics, and fluid mechanics areas.
ME 552 - Advanced Applications of Finite Element Method
Various algorithms for nonlinear and time-dependent problems in two- and three-dimensions are studied. The emphasis is on advanced applications with problems chosen from fluid dynamics, heat transfer, and solid mechanics areas. Each student is required to complete an independent project.
ME 553 - Product and Process Design
ME 554 - Intellectual Property for Engineers
ME 555 - Composites and Polymer Processing
Explores composites processing, polymer processing, and associated design. Emphasis is placed on basic issues in the context of fundamentals of processing and design of fiber reinforced composites and polymers. Component design and manufacture are treated as aspects of a single integrated process, including design of process tooling and machinery for manufacture. Eight laboratory sessions cover manufacture of composites, injection molding, microstructure analysis, characterization, and testing. Team projects involve physical prototyping.
ME 556 - Lubrication, Friction, and Wear
ME 557 - Design for Manufacturability
Introduction to manufacturing concerns, such as efficient design, producibility, and quality which must be considered early in the engineering design process. Topics include the product development cycle, manufacturing process selection, tolerancing, design for assembly (DFA), quality control techniques, Taguchi's robust design methodology, quality function deployment (QFD), value engineering, and reliability. Laboratory projects in the area of tolerancing, assembly, and manufacturability are included along with a project from industry in which the students can disassemble, analyze, and redesign a product while obtaining feedback from industry concerning manufacturability.
ME 559 - Micromechanics of Materials
Mechanics of heterogeneous solids. Basic mechanics of composite materials (elastic behavior, thermal expansion, strength). Classical laminate theory. Shear lag model for short fiber composites. Homogenization theory. Eshelby tensor. Mean field methods (dilute approximation, self consistent models, Mori-Tanaka). Cellular solids. Honeycomb structures (Elastic behavior. Failure by crushing, fracture, plasticity). Foams. Hybrid materials.
ME 560 - Kinematics
Geometry of constrained plane motion with applications to linkage design. Type and number synthesis. Path curvature, inflection circle, cubic of stationary curvature. Finite displacements, three and four separated positions. Graphical, analytical, and computer techniques.
ME 561 - Optimal Design: Theory with Practice
Optimization as an element of the engineering design process. Case studies which demonstrate the theory and application of nonlinear programming as a design tool. Comparative examination of unconstrained algorithms. Development and application of methods for the constrained case. Selected contemporary topics.
ME 561H - Optimal Design: Theory with Practice Honors
Optimization as an element of the engineering design process. Case studies which demonstrate the theory and application of nonlinear programming as a design tool. Comparative examination of unconstrained algorithms. Development and application of methods for the constrained case. Selected contemporary topics.
ME 562 - Advanced Dynamics
Dynamics of multi degree-of-freedom mechanical systems. Holonomic and nonholonomic constraints. Lagrange's equations of motion. Hamilton's principle for holonomic systems. Kinematics and kinetics of rigid body motion, including momentum and energy methods. Linearized equations of motion. Classification of vibratory systems-gyroscopic, circulatory forces. Stability of linear systems-divergence and flutter. Applications to gyroscopes, satellite dynamics, etc.
ME 563 - Mechanical Vibrations
Review of systems with one degree of freedom. Lagrange's equations of motion for multiple degree of freedom systems. Introduction to matrix methods. Transfer functions for harmonic response, impulse response, and step response. Convolution integrals for response to arbitrary inputs. Principle frequencies and modes. Applications to critical speeds, measuring instruments, isolation, torsional systems. Introduction to nonlinear problems.
ME 563Q - Mechanical Vibrations
ME 564 - Vibrations of Discretized Systems
Theory of small oscillations of discrete or discretized systems of high dimensionality. Formulation of equations of motion using Lagrange's equation and the influence coefficients. Finite element reductions of continuous systems. Natural frequencies and modes: numerical methods. Free vibrations and forced vibration characteristics; modal expansion; approximation techniques; damping. Assembly of large systems from subsystems concepts, impedance techniques.
ME 565 - Vehicle Dynamics
Modeling of wheeled vehicles to predict performance, handling, and ride. Effects of vehicle center of mass, tire characteristics, traction and slip, engine characteristics, and gear ratios on performance. Suspension design. Steady state and transient handling models of four-wheeled vehicles and car-trailer systems to determine oversteer and understeer characteristics, critical speeds, and stability. Multi-degree-of-freedom ride models including tire and suspension compliance. Computer simulations. Current research topics in vehicle vibration isolation.
ME 566 - Mechanics of Machinery
Selected topics in machine analysis and design for high-speed applications. Rigid-body kinematics and dynamics of mechanisms, and balancing of machinery. Cam-follower mechanisms. Mathematical modeling of mechanisms comprised of elastically deformable elements. Transient and steady-state vibration response, and parametric instability in elastic mechanisms.
ME 567 - Dynamical Problems in Design
Design of devices required to have specified dynamic characteristics. Modeling of linear and nonlinear systems and determination of their performance under deterministic and random inputs. Analytical and approximate methods including computer solutions.
ME 568 - System Optimization Techniques I
Development and application of concepts and techniques required for optimization of systems in which design freedom exists. ("Systems" may be biological, economic, mechanical...) Topics covered include dynamic programming, the Pontryagin Maximum Principle, interrelationships with the calculus of variations, solutions in the presence of system constraints. Introduction to direct techniques of solutions for both functional and parameter optimization problems. Computer solutions required.
ME 569 - Mechanical Behavior of Materials
A study of how loading and environmental conditions can influence the behavior of materials in service. Elastic and plastic behavior, fracture, fatigue, low and high temperature behavior. Introduction to fracture mechanics. Emphasis is on methods of treating these conditions in design.
ME 570 - Machine Design
Analysis of stresses and deflections due to complicated loading. Investigation of specific design problems through application of theory of elasticity, failure criteria, energy approach, and numerical methods. Individual design project.
ME 570Q - Machine Design
ME 571 - Reliability Based Design
Basic concepts of probability and random variables. Time-dependent reliability models. Strength-based reliability and interference theory. Weakest-link and fail-safe systems. Extremal distributions. Monte Carlo methods. Maintainability and availability. Fault tree analysis. Quality control and reliability.
ME 572 - Analysis and Design of Robotic Manipulators
Introduction to the analysis and design of robotic manipulators. Topics include kinematic configurations, forward and inverse position solution, velocity and acceleration, path planning, off-line programming, force and torque solutions, rigid body dynamics, motors and actuators, robot design, sensors and controls, computer simulation and graphical animation.
ME 573 - Interactive Computer Graphics
The principles of computer graphics and interactive graphical methods for problem solving. Emphasis placed on both development and use of graphical tools for various display devices. Several classes of graphics hardware considered in detail. Topics include pen plotting, storage tube, refresh, dynamic techniques, three dimensions, color, modeling of geometry, and hidden surface removal. Part of laboratory involves use of an interactive minicomputer graphics system.
ME 574 - Advanced Computer Graphics Applications
Direct application of interactive computer graphics to selected independent research projects. The projects are chosen, developed, and implemented by the students in great detail, including documentation and presentation. Students will use a Megatek 7210 3D refresh display and/or a Ramtek 935I color raster display from a PDP 11/45 running UNIX(tm), or an Evans and Sutherland PS 300 from a VAX.
ME 575 - Theory and Design of Control Systems
Modern control techniques, state space representations, performance evaluation, controllability, observability, and observer design are introduced. The Bond graph is developed as a versatile computer-aided method of modeling coupled systems.
ME 576 - Computer Control of Manufacturing Processes
Fundamental elements for manufacturing process control are presented with advanced control theories, modeling and analysis of actuators, controller architecture, interfacing, and programming. Emphasis is on computer integrated manufacturing with computer numerical control of machine tools, automation via programmable logic controllers, motion control, process control examples, and manufacturing process monitoring. Hands-on experience is attained through laboratory experiments with state-of-the-art equipment.
ME 578 - Digital Control
Introduction to, and overview to the field of digital control. Prior knowledge of continuous control techniques is assumed. Topics include: mathematical background from residue theory through integral transforms, sampled data systems including A/D, D/A and hold properties, aliasing, and Z transforms. Digital control design via continuous, discrete and state space design techniques. Implementation considerations including nonlinear effects. Mechanical engineering examples.
ME 579 - Fourier Methods in Digital Signal Processing
Fundamentals of signal processing associated with Fourier analyzer systems are presented. Emphasis is on amplitude accuracy and frequency resolution properties necessary for reliable experimental methodologies in system identification, spectrum estimation, and correlation analysis. Deterministic as well as random data analyses are presented, Students are required to develop algorithms which significantly expand the utility of Fourier analyzer systems.
ME 580 - Nonlinear Engineering Systems
Methods of analysis for nonlinear ordinary differential equations arising in engineering systems. Review of linear systems. Stability concepts. Phase plane methods. Perturbation and averaging methods of analysis. Self-excited and parametrically-excited systems. Relaxation oscillations. Systems with more than one degree of freedom.
ME 581 - Numerical Methods in Mechanical Engineering
The solution to problems arising in mechanical engineering using numerical methods. Topics include nonlinear algebraic equations, sets of linear algebraic equations, eigenvalue problems, interpolation, curve fitting, ordinary differential equations, and partial differential equations. Applications include fluid mechanics, gas dynamics, heat and mass transfer, thermodynamics, vibrations, automatic control systems, kinematics, and design.
ME 582 - Thermal Stress Analysis
Methods for determining the deformations and stresses due to temperature changes in materials. Fundamentals of thermoelasticity. Solutions to two-dimensional thermoelastic problems. Thermal stresses in beams and plates. Thermoelastic buckling. Introduction to thermoviscoelasticity, thermal fracture and fatigue. Applications to dissimilar materials such as ceramic coatings, glass-metal bonds and composities.
ME 585 - Instrumentation for Engineering Measure-ments
Fundamental concepts of static and dynamic measurements are reviewed. Transducers, signal conditioning, data transmission, and digital data acquisition systems are discussed. Emphasis is on applications and dynamic measurements.
ME 586 - Microprocessors in Electromechanical Systems
Architecture of microcomputers; operating systems, logic functions, logic circuit design; I/O structure and interfacing; assembly language, manual assembly; software and hardware interrupts; data acquisition, serial and parallel communications; the role of high level languages. Laboratory experiments on applications to electrical, mechanical, and thermofluid systems.
ME 587 - Engineering Optics
Fundamentals of geometrical and physical optics as related to problems in engineering design and research. Characteristics of imaging systems; properties of light sources; optical properties of materials. Diffraction, interference, polarization, and scattering phenomena as related to optical measurement techniques. Introduction to lasers and holography.
ME 588 - Integrated Design of Electro-mechanical Systems
Electronic and interfacing techniques for design and control of electro-mechanical systems. Basic digital and analog design with applications to electro-mechanical interfacing via hands-on laboratory experience. Commonly used actuators and sensors and corresponding interfacing techniques. Realistic and integrated product development experience provided through a comprehensive final project where working prototypes are built to defined specifications.
ME 595 - Special Topic Minicourses
A series of one credit hour courses on special topics offered as ME 595A, 595B, etc. These special topic minicourses will provide an opportunity for introducing students to topics of contemporary importance or special interest which fall outside the scope of the standard curriculum. Information about current offerings may be obtained from the schedule of classes or the mechanical engineering registration deputy.
ME 597 - Selected Topics in Mechanical Engineering
Available by arrangement with individual faculty members.
ME 597A - Selected Topics in Mechanical Engineering
Available by arrangement with individual faculty members.
ME 597F - Selected Topics in Mechanical Engineering
Available by arrangement with individual faculty members.
ME 597K - Selected Topics in Mechanical Engineering
Available by arrangement with individual faculty members.
ME 597M - Information Technology for Engineers
Available by arrangement with individual faculty members.
ME 597P - Composites and Polymer Processing
Available by arrangement with individual faculty members.
ME 597Q - Spray Theory & Application
ME 597S - Selected Topics in Mechanical Engineering
Available by arrangement with individual faculty members.
ME 597T - 
ME 597V - Particulate Systems
ME 597W - Microscale Physical Processes
This class will prepare engineers and scientists to address problems they will encounter when studying physical phenomena in Micro-Electromechanical Systems (MEMS). The course will provide the student with the tools to analyze statics, dynamics, electricity and magnetism, surface phenomena, fluid dynamics, heat transfer, and mass transfer problems at the micron scale. Quantitative analysis of specific MEMS devices will be achieved through finite element analysis using the ANSYS programming package.
ME 604 - Diffusion of Heat and Mass
Heat conduction and mass diffusion in solids, liquids, and gases; phenomenological laws and their physical basis in terms of thermodynamic nonequilibrium; use of chemical potential to describe extent of nonequilibrium for both ideal and nonideal systems; predicted and measured values of transport properties; formulation of diffusion problems and their boundary conditions; solution by means of exact, approximate, and numerical methods; coupled heat and mass diffusion; thermal diffusion and diffusion-thermo phenomena; effects of chemical reactions; applications to selected problems.
ME 605 - Convection of Heat and Mass
Heat and mass transfer in moving fluid media; free, forced, and mixed convection for internal and external flows; differential and integral treatments of boundary layer problems; convection analogies for heat, mass, and momentum transfer; combined heat and mass transfer with chemical reactions; special topics and applications to electronic cooling, materials processing, transpiration and film cooling.
ME 606 - Radiation Heat Transfer
Thermodynamics and physics of radiation and its interaction with interfaces and matter; radiation characteristics of surfaces and radiation properties of solids, liquids, and gases; analysis of radiation exchange between real and idealized surfaces; fundamentals of radiation transfer in absorbing, emitting, and scattering media; interaction of radiation with conduction and convection; remote temperature sensing and applications to selected problems involving combined energy transfer mechanisms.
ME 608 - Numerical Methods in Heat, Mass, and Momentum Transfer
Governing conservation equations and their classification according to numerical properties. Discretization by Taylor series, weighted residual, and control volume methods. Solution of systems of algebraic equations. Discretization and solution of the convection-diffusion equation. Methods of solving the equations governing fluid flow. Mathematical modeling of turbulence, combustion, and radiation.
ME 610 - Boundary Layer Theory
Fundamentals of continuum fluid mechanics; Navier-Stokes equations. Laminar flow; boundary-layer concept; similarity solutions; transformation methods; integral and finite difference solution techniques for general pressure gradients.
ME 611 - Principles of Turbulence
Methods of description and basic equations for turbulent flows. Isotropic and homogeneous turbulence, energy spectra, and correlations. Introduction to measurements. Transition theory and experimental evidence. Wall turbulence, engineering calculations of turbulent boundary layers. Free turbulent jets and wakes.
ME 613 - Advanced Engineering Acoustics
An extension of ME 513. Sound transmission between two media. Acoustic resonators and application to muffler theory. Structural radiation and sound. Acoustical measurements and signal processing: sound intensity, surface intensity, coherence and cepstral techniques. Numerical acoustics: finite element analysis, boundary integral equation analysis and statistical energy analysis. Advanced topics.
ME 613Q - Advanced Engineering Acoustics
ME 614 - Computational Fluid Dynamics
Application of finite difference methods, finite element methods, and the method of characteristics for the numerical solution of fluid dynamics problems. Incompressible viscous flows: vorticity transport equation, stream function equation, and boundary conditions. Compressible flows: treatment of shocks, implicit and explicit artificial viscosity techniques, and boundary conditions. Computational grids.
ME 615 - Aeroacoustics
Quantitative measures of sound (Decibel scales, spectra, energetics of acoustic motions, and measurement techniques). The wave theory of sound (basic equations and properties, sound propagation in homogeneous and inhomogeneous media, one-, two-, and three-dimensional sound fields, and distributed sources). Effects of source movement. Aerodynamic noise generation-acoustic analogy (Lighthill's equation and Ffowcs Williams-Hawkins equation). Introduction to Computational Aeroacoustics (CAA). Noise from turbulent shear flows (jet noise, cavity noise, and noise from flow over objects). Noise from turbomachinery, propellers, and rotors.
ME 640 - Structural Acoustics
ME 660 - Advanced Kinematics
Geometry of constrained motion in three dimensions; applications to the design of mechanisms.
ME 664 - Vibrations of Continuous Systems
Theory of small oscillations of continuous systems. Love's equations for thin shells, reduction to special cases of shallow shells, plates, beams, etc. Initial stresses; influence of shear; thermal excitation. Initial value problems; forced vibrations; structural damping. The dynamic Green's function, impedance concepts; variational approaches. Experimental procedures, scaling, composite, and stiffened shells.
ME 665 - Dynamic Stability of Elastic Systems
Review of static stability and energy concepts. Study of the stability of conservative and nonconservative elastic systems considering linear and nonlinear behavior of the elastic, inertia, and damping forces. Buckling in the post-critical region. Forced and parametric vibrations of nonlinear systems. Physical examples include rods, beams, plates, shells, rotating machinery, and aeroelastic vehicles.
ME 667 - Advanced Dynamical Problems in Machine Design
Design of devices dependent upon velocity or acceleration-time relationships; differential equations of motion to obtain design data and operating characteristics; analytical solutions.
ME 675 - Multivariable Control System Design
Fundamentals of the frequency response loop shaping methodology for the analysis and design of robust multivariable control systems will be presented. Emphasis is on suitable extensions of the classical Bode-Nyquist design techniques to systems with not only uncertain parameters but also multiple inputs and outputs. Instrument and environmental signal level constraints on the performance of control systems will be critically evaluated. Students are required to develop ability to handle open-ended design issues involving significant multiobjective performance trade-offs.
ME 677 - Nonlinear Controller Design
ME 680 - Bifurcations and Chaos
ME 681 - Finite and Boundary Element Methods
The solution of problems in mechanical engineering using the generalized numerical techniques; the finite element method and the boundary element method. Topics include reformulation of partial differential equations into appropriate form for each method. The development and implementation of code and solution of problems. Applications include: acoustics, fluid dynamics, heat transfer, design, mechanics and biomechanics.
ME 687 - Advanced Engineering Optics
The principles of coherent optics as related to holography, spatial filtering, materials processing, and other applications of lasers. Theory of optical resonant cavities and the characteristics of laser illumination. Fourier methods in optics.
ME 689 - Adaptive Control
ME 690 - Individual Study in Mechanical Engineering
Individual study in advanced areas not currently available through formal course offerings within the University. Course plan must be approved by professor in charge prior to registering for the course. Written report and presentation of a departmental seminar based on material studied are required at the end of the semester.
ME 69100 - Mechanical Engineering Graduate Seminar
Acquaint graduate students with a broad spectrum of research in various areas of mechanical engineering. Weekly seminars by invitees/researchers from academia, national labs, or industry. Seminar topics provide a mix of subjects, areas and disciplines, and can involve considerable technical depth, a broad overview and/or historical perspectives.
ME 697 - Mechanical Engineering Projects
Individual advanced study in various fields of mechanical engineering.
ME 697B -
ME 697E -
Individual advanced study in various fields of Mechanical Engineering.
ME 697F -
ME 697T - Computational Fracture Mechanics 
Prediction of the failure of engineering structure employing computational methods. Continuum models for material failure in brittle and ductile materials. Cohesive zone models for material failure. Material parameter determination strategies. Numerical implementation of constitutive models in finite element codes. Applications to engineering structures on the macro-micro and nanoscale.
ME 698 - Research M.S. Thesis.
M.S. Thesis.
ME 699 - Research Ph.D. Thesis
Ph.D. Thesis.
ME 699A - Research Ph.D. Thesis Absent

ME Graduate Office
585 Purdue Mall (Room 1005)
West Lafayette, IN 47907
(765) 494-5730