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University Bulletin: Graduate Programs The George Washington University  



Professors C.A. Garris, J.D.-Y. Lee, Y.-L. Shen, A.D. Cutler, S.M. Hsu, D.S. Dolling, M.W. Plesniak (Chair), E. Balaras

Associate Professors M. Keidar, K. Sarker, Y. Leng

Assistant Professors P. Ben-Tzvi, P.M. Bardet, A.M. Wickenheiser, C. Liang, L. Zhang, M. Leftwich, T. Lee

Adjunct Professor M.A. Imam

Professorial Lecturers G.C. Everstine, S.S. Dodbele, A. Rao, J.K. Soldner, J.H. Milgram, J.M. Fleming, D.R. Gerk, T.M. Krafchak, R. Krishnamurthy, M.A. Busby, K. Bulusu, T. Conway, J. Silver, M. Snyder

See the School of Engineering and Applied Science for programs leading to the master’s, professional, and doctoral degrees. A certificate program in computer-integrated design in mechanical and aerospace engineering is offered by the department.

The green leaf indicates that the course addresses environmental, social or economic sustainability.
6201 Introduction to Manufacturing (3) Shen
  Fundamentals of modern manufacturing. Processes for manufacturing mechanical and electronic components from metals, polymers, ceramics, and silicon. Manufacturing systems, CAD, robotics, and design for assembly. Current capabilities, technological needs, and competitiveness. Examples from high-tech industries. Prerequisite: approval of department. (Fall)
6203 Experimental Techniques (3) Cutler
  Sensors; measurement of displacement, temperature, pressure and velocity. Optical methods. Signal conditioning. Computer data acquisition. Uncertainty analysis. Case studies of instrumentation systems such as hot-wire anemometers, laser-doppler anemometers, shlieren/shadowgraph and interferometers. Laboratory projects. (As arranged)
6204 Tissue Engineering (3) Zhang
  Principles, technologies, and applications of tissue engineering, an emerging interdisciplinary field that incorporates progress in biology, materials science, and engineering toward the development of biological substitutes that restore, maintain, or improve damaged tissue and/or organ functionality. (Spring)
6207 Theory of Elasticity (3) J. Lee, Manzari
  Introduction to Cartesian tensors; deformation, stress, constitutive relations for linear elasticity; formulation of boundary value problems, variational principles, torsion and bending of prismatial rods, plane problems. Prerequisite: approval of department. Same as CE 6207. (Spring)
6210 Continuum Mechanics (3) J. Lee
  Tensor analysis; fundamental concepts of continuum mechanics; kinematics of continuum; derivation of balance laws of mass, linear momentum, angular momentum, energy and entropy; axioms of constitutive theory; formulation of constitutive theories; Onsager’s principle; objectivity; representation theorem for isotropic functions; plasticity, including concepts of internal variables, yield surface, return mapping algorithm. Prerequisite: approval of department. (Fall)
6220 Applied Computational Fluid Dynamics (3) Staff
  Basic principles of fluid dynamics and aerodynamics. Finite difference and finite volume methods. Fluid flow and heat transfer analysis of thermo-fluid mechanical systems. Computational aerodynamics codes. Individual hands-on experience with a commercial CFD code such as FLUENT. Prerequisite: approval of department. (Fall)
6221 Fluid Mechanics (3) Plesniak and Staff
  Continuum, kinematics of fluids; stress and strain rate tensors; fundamental equations of viscous compressible flows. Irrotational flows; sources, sinks, doublets, and vortices. Laminar flow of viscous incompressible fluids; boundary-layer concept. Prerequisite: approval of department. (Fall)
6222 Applied Aerodynamics (3) Staff
  Introduction to practical and computational methods for solving two-dimensional and three-dimensional aerodynamics problems. Linear methods, nonlinear potential methods, coordinate transforms, and boundary-layer methods. Prerequisite: MAE 6221, 6286. (As arranged)
6223 Turbomachinery (3) Garris
  Turbine, compressor, and pump types and uses; dimensional analysis of turbomachines; cycle analysis of gas and steam turbines; energy interchange in fluid machinery; design, characteristics, and performance of turbines, compressors, and pumps; comparison of types of turbines, compressors, and pumps. Prerequisite: MAE 6221. (Fall, odd years)
6224 Viscous Flow (3) Cutler, Plesniak
  Exact solutions of Navier–Stokes equations; the laminar boundary-layer theory. Reynolds stresses and turbulence; internal, boundary-layer, and mixing flows. Applications to heat and mass transfer and to reacting flows. Prerequisite: ApSc 6213, MAE 6221, or equivalent. (Fall, even years)
6225 Computational Fluid Dynamics (3) Balaras, Liang
  Theory of discrete methods for solving the governing equations of fluid dynamics. Potential flow, Euler equations, Navier-Stokes equations. Emphasis on algorithm development appropriate to modern supercomputers. Prerequisite: MAE 6221, 6286. (Spring)
6226 Aero/Hydrodynamics (3) Wickenheiser and Staff
  Inviscid flows in two and three dimensions and irrotational flow theory; conformal mapping and applications. Helmoltz theorems and vorticity dynamics. Applications such as airfoil theory, finite wing theory, panel methods, instabilities, free surface flow. Prerequisite: MAE 6221 or equivalent. (Spring)
6227 Aeroelasticity (3) Staff
  Static and dynamic structural deformations; static aeroelasticity (structural deformation, divergence, control effectiveness, and reversal); dynamic aeroelasticity (flutter, response to gusts and turbulence); unsteady aerodynamics for 2-D wings; strip theory for 3-D lifting surfaces; piston and Newtonian-flow theories. Prerequisite: MAE 6221, 6257. (As arranged)
6228 Compressible Flow (3) Cutler, Garris
  Thermodynamics and equations of compressible inviscid flow. One-dimensional flow. Isentropic flow. Normal and oblique shock waves. Quasi-one-dimensional flow. Unsteady one-dimensional and steady two-dimensional flow. Introduction to transonic flow. Prerequisite: ApSc 6213, MAE 6221 or equivalent. (Spring, even years)
6229 Propulsion (3) Keidar, Garris
  Basic concepts of propulsion: energy transformations in propulsive flows, gas dynamics of combustion. Thermal and propulsive efficiencies. Cycle and engine component analysis. Intake, nozzle performance. Drag and thrust generation. Augmentation. Propellers, turbojets, turbofans, ramjets, and rockets. Prerequisite: approval of department. (Spring)
6230 Space Propulsion (3) Staff
  Advanced chemical propulsion: dynamic combustion and instabilities in solid propellants. Injection, atomization, mixing in liquid propellant engine performance. Plasma propulsion: electrostatic, electromagnetic, and electrothermal instabilities (laser and microwave). Nuclear propulsion. Prerequisite: MAE 6229. (Spring, even years)
6231 Structure and Transformations in Materials (3) Staff
  Structure of crystals, crystal binding, crystal defects, dislocations, solid solutions, phases, diffusion, phase transformations, deformation twinning, and martensite. Prerequisite: ApSc 2130. (Fall, odd years)
6232 Fracture Mechanics (3) J. Lee
  Concepts, history, and recent developments of fracture mechanics. Singularity at the crack tip; solutions around crack tip; stress intensity factors; energy release rate; J-integral; direction of crack extension; Plasticity and slow crack growth; dynamic crack propagation; molecular dynamics simulation of fracture. Prerequisite: approval of department. (As arranged)
6233 Mechanics of Composite Materials (3) J. Lee, Manzari
  Stress-strain relationship for orthotropic materials, invariant properties of an orthotropic lamina, biaxial strength theory for an orthotropic lamina. Mechanics of materials approach to stiffness, elasticity approach to stiffness. Classical lamination theory, strength of laminates. Statistical theory of fatigue damage. Prerequisite: approval of department. Same as CE 6209. (Spring, odd years)
6234 Composite Materials (3) Staff
  Principles of composites and composite reinforcement. Micromechanics and failure, interface reactions in various composites, reinforcing materials. Structure of composites: fiber-reinforced polymers, filler-reinforced polymers, fiber-reinforced metals, directionally solidified alloys, dispersion-strengthened metals. Prerequisite: approval of department. (Spring, even years)
6235 Deformation and Failure of Materials (3) Staff
  Elastic and plastic deformation, yield, dislocation theory, strengthening mechanisms, creep, polymers, fracture, transition temperature, microstructure, fatigue. (Spring, odd years)
6237 Applied Electrochemistry (3) Staff
  Charged interfaces, electrochemical cells, corrosion thermodynamics, electrode kinetics, general corrosion, crevice corrosion, pitting, stress-corrosion cracking, corrosion protection, batteries and fuel cells, energy storage. May include current and potential distribution in electrochemical cells and scaling effects in modeling. Prerequisite: approval of department. (Fall, even years)
6238 Biomaterials (3) Zhang and Staff
  Applications of materials science and engineering to artificial materials in the human body with the objective of detailed understanding of synthetic materials and biopolymers. Biocompatibility and its consequences on tissue–implant interfaces. Design and development of new implant materials, smart drugs, and drug delivery systems. Prerequisite: MAE 3166 or 4168. (Fall)
6239 Computational Nanosciences (3) Leng
  Introduction to surface force measurements in nanosciences; continuum contact mechanics in nanoscience research; intermolecular forces; empirical potentials for transition metals; surface forces in liquids; large-scale atomic/molecular massively parallel simulator; force field development from quantum mechanical density–functional theory for organic/metal molecular systems. Prerequisite: approval of department. (Fall)
6240 Kinematic Synthesis (3) Staff
  Techniques for the analysis and synthesis of function, path, and motion generating mechanisms. Methods for the dimensional design of mechanisms. Computer-aided techniques for the optimal design of planar linkages. Review of recent developments and current research. Term project. Prerequisite: MAE 3190 or equivalent. (Spring, odd years)
6241 Computer Models of Physical and Engineering Systems (3) Staff
  Reduction of physical and engineering systems to simplified physical and mathematical models. Manipulation of models using C/C++ programming. Numerical algorithms for optimization, graph identification, mini-sum arithmetic, and searching. Styles of problem solving. Prerequisite: MAE 2117. (Spring)
6242 Advanced Mechanisms (3) Staff
  Emphasis on spatial kinematics. Analysis and synthesis of mechanisms. Analytical techniques using matrices, dual numbers, quaternion algebra, finite and instantaneous screws, theory of envelopes. Applications to design of linkages, cams, gears. Use of digital computers in mechanism analysis and design. (Spring, even years)
6243 Advanced Mechanical Engineering Design (3) Staff
  Design of mechanical engineering components and systems emphasizing computer-aided engineering (CAE), including interactive computer graphics, finite element analysis, and design optimization. Creation of a complete design on an engineering workstation. Prerequisite: approval of department. (Fall)
6244 Computer-Integrated Engineering Design (3) Staff
  Design of engineering components and systems on engineering workstations using I-DEAS. Interactive computer graphics, finite element analysis, computer-based design optimization, and other relevant computer-based tools. Students apply design concepts in a computer-aided engineering environment to a selected project. Prerequisite: approval of department. (Spring)
6245 Robotic Systems (3) J. Lee, Ben-Tzvi
  Classification, features, and applications of industrial robots. Spatial descriptions and transformations, forward and inverse kinematics. Jacobian matrix, velocities and static forces, manipulator dynamics and controls. Robot actuators, transmissions, sensors, end effectors, and programming. Prerequisite: MAE 4182 or equivalent. (Spring)
6246 Electromechanical Control Systems (3) J. Lee
  State–space representations of dynamic systems; dynamics of linear systems; controllability and observability; linear observers; compensator design by separation principle; linear–quadratic optimal control; Riccati equations; random processes; Kalman filter; applications of optimal stochastic control theory to robotics and earthquake engineering. Prerequisite: approval of department. (Fall, odd years)
6247 Aircraft Design I (3) Staff
  Conceptual design methods used in response to prescribed mission and performance requirements, alternate configuration concepts. Configuration general arrangement and empennage sizing. Estimation of aircraft size, weight, and balance; lift, thrust and drag; system level tradeoff and sensitivity studies. Prerequisite: approval of department. (Spring)
6248 Aircraft Design II (3) Staff
  Preliminary design methods used to refine a conceptual aircraft configuration. Area ruling, computer-aided design methods and structural arrangement, estimation of aircraft static and dynamic stability and control sizing, inlet design, detailed tradeoff and sensitivity studies, economic and reliability considerations. (Spring)
6249 Spacecraft Design (3) Staff
  Computer-aided design of spacecraft and satellites to meet specific mission requirements. Environment, propulsion, structure, heat transfer, orbital mechanics, control considerations. Use of modern computer codes for design studies. Prerequisite: approval of department. (Fall)
6250 Launch Vehicle Design (3) Staff
  Computer-aided design of hypersonic launch vehicles to meet specific mission requirements. Propulsion, structures, flight path, aerothermochemistry, control considerations. Use of modern computer codes for design studies. Prerequisite: approval of department. (Spring, odd years)
6251 Computer-Integrated Manufacturing (3) Shen
  Automation techniques for processing metals, polymers, and composites. Use of sensing and process modeling in process control. Numerical control and robot applications and limitations. Integration, scheduling, and tool management in the computer-integrated factory. Quality control. Social and economic considerations in CIM. Prerequisite: MAE 3192 or equivalent. (Spring)
6252 Projects in Computer-Integrated Design and Manufacturing (3) Shen
  Applications of the concepts of computer-integrated manufacturing to group projects, culminating in written and oral presentations. Robot programming, vision-guided assembly, force sensing, fixturing, and end-effector design for practical applications. Factory simulation, part scheduling, and NC program-verification algorithms. Prerequisite: MAE 6251. (Fall, odd years)
6253 Aircraft Structures (3) Staff
  Statics of thin-walled beams and panels, force interplay between stiffeners and skin in the analysis and design of stiffened thin-walled structures. Strength and stiffness of locally buckled stiffened structures. Design considerations. Critical evaluation of various design procedures. Prerequisite: approval of department. (As arranged)
6254 Applied Nonlinear Control (3) T. Lee
  Dynamic characteristics of nonlinear systems. State stability and input-output stability. Lyapunov stability theory and invariance principle. Nonlinear control systems, including feedback linearization, back-stepping, sliding mode control, and passivity-based design. Applications to robotics, aircraft, and spacecraft control systems. Geometric controls and hybrid systems. Prerequisite: approval of department. (Fall, odd years)
6255 Plasma Engineering in Aerospace and Nanotechnology (3) Keidar
  Plasma fundamentals, electromagnetic waves in plasma, plasma–wall interactions, modeling and experimental techniques in plasmas, electrical discharge, plasma propulsion, plasma-based nanotechnology. Prerequisite: MAE 3126.
6257 Theory of Vibrations (3) Lee and Staff
  Damped and undamped natural vibration, response of single- and multiple-degrees-of-freedom systems to steady-state and transient excitations, modal analysis, nonproportional damping and complex modes, variation formulation of equations of motion, discretization of structural systems for vibrational analysis. Prerequisite: approval of department. (Fall)
6258 Advanced Vibration Analysis and Control (3) Wickenheiser
  Discrete systems, modal analysis, modeling in state space, measurement, control, and system identification. Continuous systems, normal modes, approximations, distributed sensing and actuation. Realization, model reduction. Random vibrations. Prerequisite: MAE 4182; either MAE 3134 or MAE 6257 or equivalent. (Spring)
6260 Nanomechanics (3) J. Lee
  Introduction to crystallography; interatomic potentials; phonon dispersion relations; molecular dynamics simulation; Nose–Hoover thermostat; coarse grained non-equilibrium molecular dynamics; multiple length/time scale theory of multi-physics; microcontinuum field theories; applications to nano materials/structures. Prerequisite: approval of department. (Spring, odd years)
6261 Air Pollution (3) Staff
  Introductory course on the generation, monitoring, and control of air pollution. Atmospheric pollutants; current levels and health problems. Combustion chemistry and mixing. Photochemical processes; smog and measurements. Atmospheric dispersion; inversion and acid rain. Prerequisite: approval of department. (Fall, odd years)
6262 Energy Systems Analysis (3) Staff
Analysis of energy resources and conversion devices. Statistical data analysis, forecasting, I/O, and net energy analyses, mathematical modeling. Prerequisite: approval of department. (Fall)
6263 Advances in Energy Engineering (3) Hsu
  Review of thermodynamics, heat transfer, fluid dynamics, and materials technology used in the energy industries. New energy-efficient technologies in transportation and buildings; renewable energy (wind, solar, and biomass). Climate change and sustainability issues, such as carbon capture, cap and trade, carbon sequestration.
6270 Theoretical Acoustics (3) Staff
  Basic acoustic theory in stationary and uniformly moving media; waves in infinite space; sound transmission through interfaces; sound radiation from simple solid boundaries, source and dipole fields; propagation in ducts and enclosures; elements of classical absorption of sound. Prerequisite: ApSc 6213, MAE 6221. (As arranged)
6271 Time Series Analysis (3) Staff
  Harmonic analysis of random signals; auto- and cross-correlations and spectra; coherence; modern techniques for spectral estimation, including fast Fourier transform, maximum entropy, and maximum likelihood; bias and variability; randomly sampled data; digital filtering; applications. Prerequisite: approval of department. (As arranged)
6274 Spacecraft Dynamics (3) Staff
  Fundamentals of satellite attitude dynamics and passive stabilization. Spacecraft attitude representation, rotational kinematics and kinetics. External torques. Dynamics of gyroscopes. Gravity gradient stabilization. Effect of internal energy dissipation on stability of spinning bodies and methods of despin. Dual spin satellites. Prerequisite: approval of department. (Spring, even years)
6275 Stability and Control of Aircraft (3) Staff
  Derivation of equations of motion, Euler transformations and direction cosines, stability derivatives and linearization of equations of motion, stability of linear systems with application to longitudinal and lateral dynamics, Laplace transform techniques, and frequency-response analysis. Prerequisite: approval of department. (Fall, even years)
6276 Space Flight Mechanics (3) Staff
  Coordinate and time systems. Newton’s laws; 2-, 3-, and n-body problems, Lagrange points, gravity-assisted trajectories, variation of parameters and orbit perturbations, non-central gravity effects, drag, sun-synchronous, and formation orbits. Numerical applications using MatLab. Prerequisite: approval of department. (Fall)
6277 Spacecraft Attitude Control (3) Staff
  Control of spinning and three-axis stabilized spacecraft. Elements of linear control theory for single-input, single-output systems and basic feedback control laws. Momentum management and actuator desaturation. Sensors for attitude determination. Application of modern control for multi-input, multi-output systems. Control system simulations using MatLab. (As arranged)
6278 Space Flight Guidance and Navigation (3) Staff
  Fundamentals of spacecraft guidance and navigation. Single, double, and multi-impulse orbit changes, Lambert’s Theorem, rendezvous and interception, batch and sequential orbit determination, guidance strategies for fixed and variable flight time problems. Numerical applications using MatLab. (Fall, even years)
6280 Intermediate Thermodynamics (3) Staff
  Review of First and Second Laws of Thermodynamics and combining the two through exergy; entropy generation minimization and applications. Single phase systems, exergy analyses, multiphase systems, phase diagrams and the corresponding states principle. Prerequisite: approval of department. (Fall)
6281 Advanced Thermodynamics (3) Staff
  Development of classical and quantum statistical mechanics, including Maxwell–Boltzman distributions and microscopic origins of entropy and other thermodynamic variables. Partition functions and micro- and grand-canonical ensembles; Fermi–Dirac, Bose–Einstein, and intermediate statistics. Einstein and Debye models of solids. Prerequisite: MAE 6280 or equivalent. (As arranged)
6282 Convective Heat and Mass Transfer (3) Cutler, Garris
  Heat and momentum transfer in laminar and turbulent flow. The laminar boundary-layer solution. Similarity and nondimensional parameters. Mass-momentum heat transfer analogy. Convective heat transfer at high velocity. Stability, transition, and turbulence. Free convection. Prerequisite: MAE 6221 or equivalent. (Spring, odd years)
6283 Radiative Heat Transfer (3) Cutler
  Basic concepts of heat transfer by thermal radiation starting from Planck’s equation for blackbody radiation. Realistic engineering problems are addressed, some involving radiative heat transfer with a variety of surfaces, geometries, and enclosures. Radiative heat flow combined with conduction and convection boundaries. Prerequisite: approval of department. (Fall, odd years)
6284 Combustion (3) Garris
  Basic combustion phenomena. Rate processes and chemical kinetics. Chain reaction theory. Detonation, deflagration, diffusion flames, heterogeneous combustion. Experimental measurements. Impact of pollution regulations and alternate fuels. Prerequisite: approval of department. (Spring, even years)
6286 Numerical Solution Techniques in Mechanical and Aerospace Engineering (3) Liang and Staff
  Development of finite difference and finite element techniques for solving elliptic, parabolic, and hyperbolic partial differential equations. Prerequisite: ApSc 6213 or equivalent. (Fall)
6287 Applied Finite Element Methods (3) J. Lee
  Review of theory of elasticity. Basic aspects of theory and application of finite element methods. Utilization of MSC/NASTRAN for static, dynamic, linear, and nonlinear analyses of problems in mechanical, aeronautical, and astronautical engineering. Course emphasizes individual hands-on experience with the MSC/NASTRAN code. Prerequisite: approval of department. (Spring)
6288 Advanced Finite Element Analysis (3) J. Lee, Manzari
  Review of variational formulation of the finite element method. Finite element analysis of large-strain thermomechanics. Applications to static and dynamic problems in finite elasticity, Fung elasticity (biomechanics), nonlocal theory, active stress in living biological tissues, biological growth, and large-strain plasticity. Recent developments in finite element methods. Same as CE 8330. Prerequisite: approval of department. (Fall, even years)
6290 Special Topics in Materials Science (3) Staff
  Selected subjects of current interest. Arranged by consultation between department faculty and students. Typical topics include experimental methods in materials science and nondestructive inspection of materials. Prerequisite: approval of department. (As arranged)
6291 Special Topics in Mechanical Engineering (3) Staff
Selected subjects of current interest. Arranged by consultation between department faculty and students. Typical topics include tribology, power systems design, solar heating systems, HVAC, and plasticity theory. Prerequisite: approval of department. (As arranged)
6292 Special Topics in Aerospace Engineering (3) Staff
  Selected subjects of current interest. Arranged by consultation between department faculty and students. Typical topics include environmental noise control, aeroacoustics, hypersonic flow, and flight vehicle aerodynamics. May be repeated for credit. Prerequisite: approval of department. (As arranged)
6298 Research (arr.) Staff
  Basic research projects as arranged. May be repeated for credit.
6998-99 Thesis Research (3-3) Staff
8350 Advanced Topics in Materials Science (3) Staff
  Topics such as surface science that are of current research interest. Selected after consultation between department faculty and students. Prerequisite: approval of department. (As arranged)
8351 Advanced Topics in Mechanical Engineering (3) Staff
  Topics such as advanced analytical mechanics, advanced mechanics of continua, and advanced theory of elasticity that are of current research interest. Selected after consultation between department faculty and students. Prerequisite: approval of department. (As arranged)
8352 Advanced Topics in Aerospace Engineering (3) Staff
  Topics such as nonsteady flow, physical gas dynamics, turbulence, and nonlinear wave propagation that are of current research interest. Selected after consultation between department faculty and students. Prerequisite: approval of department. (As arranged)
8998 Advanced Reading and Research (arr.) Staff
  Limited to students preparing for the Doctor of Philosophy qualifying examination. May be repeated for credit.
8999 Dissertation Research (arr.) Staff
  Limited to Doctor of Philosophy candidates. May be repeated for credit.

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© 2013 University Bulletin
The George Washington University All rights reserved.

Information in this bulletin is generally accurate as of fall 2012. The University reserves the right to change courses, programs, fees, and the academic calendar, or to make other changes deemed necessary or desirable, giving advance notice of change when possible.