Department of Mechanical and Aerospace Engineering

• Department of Mechanical and Aerospace Engineering
  • FACULTY
  • ASSOCIATED FACULTY
  • MECHANICAL ENGINEERING
  • FLUID AND THERMAL ENGINEERING SCIENCES
  • AEROSPACE ENGINEERING
  • FACILITIES
    • Fluid And Thermal Experimental Facilities
    • Solid Mechanics Experimental Facilities
    • Computational
    • Supercomputing
  • RESEARCH
    • Aerospace Technology and Transportation
    • Combustion
    • Computational Fluid Dynamics
    • Dynamics of Rotating Machinery
    • Energy Technology
    • Engineering Design
    • Tribology
    • Manufacturing
    • Materials
    • Microgravity Research
    • Multiphase Flow Research
    • Orthopaedic Engineering
    • Robotics
    • Space Structures
  • UNDERGRADUATE COURSES
  • GRADUATE COURSES
    • APPROVED TECHNICAL ELECTIVES
      • DESIGN ELECTIVES
      • Mechanical Engineering Program
      • Both Programs
    • TECHNICAL ELECTIVES
      • Aerospace
      • Biomechanics
      • Digital Electronics and Control
      • Dynamics and Vibration
      • Fluid and Thermal Engineering
      • Fluid and Thermal Sciences
      • Mathematics and Statistics
      • Materials1
      • Mechanical Design
      • Mechanical Manufacturing
      • Solid Mechanics
      • Systems and Control

Department of Mechanical and Aerospace Engineering

418 Glennan Building (7222)
phone 368-2940; fax 368-6445
Joseph Prahl; e-mail: jmp@po.cwru.edu

The Department of Mechanical and Aerospace Engineering of the Case School of Engineering offers programs leading to bachelor's, master's, and doctoral degrees. It administers the programs leading to the degrees Bachelor of Science in Engineering with a major in mechanical engineering, Bachelor of Science in Engineering with a major in fluid and thermal engineering sciences and Bachelor of Science in Engineering with a major in aerospace engineering. All three curricula are based on four-year programs of preparation for a productive engineering career or further academic training. All three are accredited by the Engineering Accreditation Commission of the Accreditation Board for Engineering and Technology (ABET).

The academic and research activities of the department center on the roles of mechanics, thermodynamics, heat transfer, and engineering design in a wide variety of applications such as aeronautics, astronautics, energy, environment, materials and stresses, biological systems, machinery dynamics, and tribology. Particularly important is the joint activity with the Departments of Biomedical Engineering and Orthopaedics of the School of Medicine in orthopaedic engineering and the Departments of Civil Engineering and Systems Engineering.

FACULTY

Joseph M. Prahl, Ph.D. (Harvard University), P.E. (Ohio)

Maurice L. Adams, Ph.D. (University of Pittsburgh)

Malcolm N. Cooke, M.Sc. (Warwick University, England)

Dwight T. Davy, Ph.D. (University of Iowa), P.E. (Ohio)

Alexander Dybbs, Ph.D. (University of Pennsylvania)

Isaac Greber, Ph.D. (Massachusetts Institute of Technology)

Jaikrishnan R. Kadambi, Ph.D. (University of Pittsburgh)

Yasuhiro Kamotani, Ph.D. (Case Western Reserve University)

Thomas P. Kicher, Ph.D. (Case Institute of Technology)

Joseph M. Mansour, Ph.D. (Rensselaer Polytechnic Institute)

Ernst W. Mayer, Ph.D. (University of Michigan, Ann Arbor)

Simon Ostrach, Ph.D. (Brown University), P.E. (Rhode Island)

Vikas Prakash, Ph.D. (Brown University)

Roger D. Quinn, Ph.D. (Virginia Polytechnical Institute & State University)

Eli Reshotko, Ph.D. (California Institute of Technology)

Clare Rimnac, Ph.D. (Lehigh University)

James S. T'ien, Ph.D. (Princeton University)

ASSOCIATED FACULTY

Roberto Ballarini, Ph.D. (Northwestern University)

Christos C. Chamis, Ph.D. (Case Western Reserve University)

John F. X. Daly, MSE (Case Western Reserve University)

Robert V. Edwards, Ph.D. (Johns Hopkins University)

Victor M. Goldberg, M.D. (State University of New York)

Kinsbury G. Heiple, M.D. (University of Chicago)

Kenneth Loparo, Ph.D. (Case Western Reserve University)

Robert L. Mullen, Ph.D. (Northwestern University)

Wyatt S. Newman, Ph.D. (Massachusetts Institute of Technology)

MECHANICAL ENGINEERING

Civilization, as we know it today, depends on the intelligent and humane use of our energy resources and machines. The mechanical engineer's function is to apply science and technology to the design, analysis, development, manufacture, and use of machines that convert and transmit energy, and to apply energy to the completion of useful operations.

To prepare mechanical engineers for these tasks, The Case School of Engineering curriculum builds a four-year program with emphasis on applied mechanics, fluid and thermal engineering, and mechanical design, with diversification in several other areas pertinent to the students' interests.

FLUID AND THERMAL ENGINEERING SCIENCES

The fluid and thermal engineering sciences are significant not only for modern technology but also for many phenomena related to the association of man with his environment. The importance of this field to aeronautics and astronautics is readily apparent, but it is also important to many other areas of technology such as power generation and lubrication.

Physicochemical transport phenomena is a subject that has developed at the interface between physics and chemistry, and is concerned with problems raised by the effects of fluid motions on chemical and physicochemical transformations and by the effect of physicochemical factors on the motion of fluids. As such this subject has considerable significance to many important problems of current interest such as materials processing; electrochemical processes; energy storage; pollution; oil recovery; and biological, physiological, and geological phenomena.

The educational program in fluid and thermal engineering sciences takes cognizance of a broad scope of applications and is fundamental and comprehensive. The interdisciplinary nature of the field is continually stressed, and the subject matter is made relevant to various areas of importance.

AEROSPACE ENGINEERING

Aerospace Engineering has grown dramatically during the past decade with the introduction of the computer as a fundamental tool for data collection and control. The wealth of scientific information developed as a result of aerospace activities forms the foundation for the Aerospace Engineering major.

Scientific knowledge is being developed each day for the Shuttle, Space Station Freedom, and the National Aerospace Plane Programs. New methods of analysis and design for structural, fluid, and thermodynamic applications are required to meet these challenges.

The Aerospace Engineering major has been developed to address the needs of those students seeking career opportunities in this highly specialized and advancing field. While this program is not recommended for everyone, it is a challenging program for those who know they want to enter the aerospace industries.

FACILITIES

The education and research philosophy of the Department of Mechanical and Aerospace Engineering for both the undergraduate and graduate programs is based on a balanced operation of analytical, experimental, and computational activities. All three of these tools are used in a fundamental approach to the professional activities of research, development, and design. Among the major assets of the department are the experimental facilities maintained and available for the faculty, students, and staff.

The introductory undergraduate courses are taught through Robert M. Ward '41 Laboratory. This central facility is modular in concept and available to the student at regularly scheduled class periods to conduct a variety of prepared experimental assignments. The lab is equipped with a variety of instruments ranging from classic analog devices to modern digital computer devices for the collection of data and the control of processes. Advanced facilities are available for more specialized experimental tasks in the various laboratories dedicated to each specific discipline. Most of these laboratories also house the research activities of the department, so students are exposed to the latest technology in their prospective professional practice. Finally, every undergraduate and graduate degree program involves a requirement, i.e., Project, Thesis or Dissertation, in which the student is exposed to a variety of facilities of the department.

The following is a listing of the major laboratory facilities used for the advanced courses and research of the department.

Fluid And Thermal Experimental Facilities

Among the major facilities in fluid and thermal engineering sciences are a low-turbulence sub-sonic wind tunnel, an internal combustion engines laboratory, a material flammability testing facility, a refractive index matched multiphase flow test loop for solid-liquid slurry flows, a test facility to study particle laden jet-flow interactions. The laboratories are well equipped with high precision flow and temperature measuring equipment such as hot wire and hot-film anemometers, laser Doppler velocimeters, laser vibrometers, and particle dynamics analyzers. Under a variety of special joint programs, many students perform their experiments in laboratories at the NASA Lewis Research Center.

A laser diagnostics laboratory is directed toward investigation of: complex flow and transport problems, flow induced vibrations, and statically and dynamically excited structural vibrations, with an emphasis on understanding the underlying phenomena. The research currently being conducted in this laboratory includes: the study of the mixing phenomena involved in the injection of a particle laden jet into cocurrent flows, spray characterization and droplet interactions, study of solid liquid dense slurries, techniques to discriminate particle size using laser velocimetry, investigation of oscillatory flows in stirling engine, (improvement of performance), development of new flow injectors for two phase flows, particle image velocimetry (PIV) for multiphase flows, and blade stress and vibration measurements. The laboratory has several laser velocimeters, including two two-component Argon ion based laser velocimeter systems, a Particle Dynamics Analyzer (Phase Doppler Interferometer/Doppler Velocimeter) to simultaneously measure particle velocity and size, a PIV system. Four laser vibrometer systems, acquired through a grant from the National Science Foundation, are the nucleus of the undergraduate vibrations laboratory. The computer facilities dedicated to the laboratory include many 486 system PCs for data acquisition and a Silicon Graphics 3020 IRIS workstation.

The Microgravity Laboratory is dedicated to research in fluid and mechanics and heat transfer in microgravity, such as that found on the Shuttle in flight. This activity is directed toward a fundamental understanding of thermocapillary flow, double-diffusive convection, and convection in float-zone crystal growth process. It is equipped with various temperature measurement instruments, a Schlieren System, a data acquisition system, a S-VHS video system with interchangeable lenses, and various photographic equipment for flow visualization studies.

Solid Mechanics Experimental Facilities

The major instructional as well as research facility for experimental methods in solid mechanics is the Daniel K. Wright, Jr. Laboratory. Presently, the facility houses a newly built single-stage plate impact gas-gun facility along with split-Hopkinson bar apparatus for carrying out fundamental studies in the inelastic behavior of advanced material systems under dynamic loading conditions. A Schenck Pegasus digital servo-controlled hydraulic testing system with a 20Kip Universal testing load frame equipped with hydraulic grips and instrumentation for quasi-static mechanical testing under load, displacement or strain control is also available. Hewlett Packard and Tektronix high speed, wide bandwidth digitizing oscilloscopes along with strain-gage conditioners and amplifiers are available for data recording and processing. The facility also houses state-of-the-art laser interferometry equipment for making non-contact spatial and temporal measurements. A newly designed Moire microscope is available for studying large scale inelastic deformation processes on micron size scales. CCD camera along with the appropriate hardware/software for image-acquisition, processing and analyzing full field experimental data from optical interferometers such as Moire microscope, photoelasticity, Michelson interferometer, caustics, image shearing are available.

The department facilities also include several specialized laboratories. The G.M. Engines Laboratory is a modern facility for measuring the dynamic performance of internal combustion engines while monitoring the behavioral parameters such as temperatures, pressures, stresses, velocities, and displacements. The two test cells can be operated completely by remote control with all data collected by digital computer. The Structural Dynamics Laboratory was developed with a grant from NSF and includes facilities for performing vibration and modal testing. This equipment includes laser vibrometers, accelerometers, electrodynamic shakers, computers and data acquisition systems. The Robotics and Controls Laboratory includes several computer workstations, a treadmill, and other facilities for the development of walking robots. Finally, the Rotor Dynamics Test Facility has equipment for measuring the vibration characteristics of seals and bearings and a high-speed (15,000 RPM) flexible rotor test rig for measurement of chaotic motions.

In Orthopaedic Engineering, the department has a Biomechanical Testing Laboratory with two Instron Mechanical Test machines, and several specialized test apparatus. There is also a soft tissue testing lab with several standard and special test machines, and an Instrumentation Laboratory devoted to the task of measuring these behavior parameters. A Biomechanical Computations and Design lab utilizing computer workstations has recently been added. In addition, it shares many research facilities with University Circle area hospitals.

Well-equipped, manned central shops and instrument rooms are available, as well as a controlled-environment room for experiments requiring extreme precision.

Computational

The Computer Aided Engineering Laboratory (CAEL) includes a Local Area Network (LAN) server available through 14 independent 486 IBM compatibles and 5 independent 386 IBM compatibles. Four of the 386 machines are mounted on mobile laboratory carts and equipped with data acquisition and control adapters, as well as sophisticated software for on-site data analysis. A final 386 machine is devoted to finite element analysis. The CAEL LAN runs a variety of software packages specifically geared towards the needs of the Mechanical and Aerospace students.

All of the laboratory's computers have Internet access through the campus network, allowing students to use various supercomputers as well as local, national, and international electronic mail. This network also makes several other campus wide LANs available, where students have immediate access to a large variety of software used across campus. The Department now offers access to its own home page on the Internet as well.

Supercomputing

The department has direct access to all NSF supercomputing centers, primarily to the Pittsburgh Supercomputing Center and the Ohio Supercomputing Center. Computing-intensive research projects can obtain an account on those supercomputers. Research projects carried on in cooperation with the NASA Lewis Research Center can have access to NASA computing facilities. Sophisticated, extensive, and updated general and graphics software are available for applications in research and classroom assignments.

RESEARCH

The research in the department encompasses many areas of modern technology. Among them:

Aerospace Technology and Transportation

Aerospace mechanics, aircraft aerodynamics (subsonic, supersonic and hypersonic) inlet aerodynamics for supersonic air-breathing aircraft, stability and transition of boundary layers and free shear layers, fluid dynamics of drag reduction, flow in turbomachinery, molecular dynamics simulation of rarefied gas flow, two phase flow, control of internal combustion engines

Combustion

Flame spread, microgravity combustion, fire research.

Computational Fluid Dynamics

Direct numerical simulations of incompressible flows, heat transfer, chemical reactions, combustion.

Dynamics of Rotating Machinery

Forced and instability vibration of rotor/bearing/seal systems, nonlinear rotor dynamics, torsional rotor vibration, rotordynamic characteristics of bearings and seals (computational and experimental approach), control of rotor system dynamics..

Energy Technology

Power plants, heat rejection studies, flow and heat transfer in porous media, heat pipes, engine combustion processes, and natural convection.

Engineering Design

Optimization and computer-aided design, feasibility studies of kinematic mechanisms, kinematics of rolling element-bearing geometries, mechanical control systems, experimental stress analysis, failure analysis.

Tribology

Time-resolved friction on nano- and micro-second time scale with applications to high speed machining and mechanics of armor penetration.

Manufacturing

An agile manufacturing work cell is being developed to facilitate quick change over from assembly of one object to assembly of other objects. The work cell contains multiple robots, a conveyor system and many flexible parts feeders.

Materials

Development of novel experimental techniques to investigate material response at elevated temperatures and high rates of deformation. Constitutive modeling of damage evolution, shear localization and failure of advanced engineering materials. Fabrication of mechanical properties of composite materials; creep, rupture, and fatigue properties of engineering materials at elevated temperatures.

Microgravity Research

Transport phenomena in crystal growth, thermocapillary flows in the containerless processing of materials, and industrial processes influenced by gravity; g-jitter effects on microgravity flows. Combustion phenomena in microgravity.

Multiphase Flow Research

Application of non-intrusive laser based diagnostic techniques to study solid-liquid, solid-gas, liquid-gas and solid-liquid-gas, multiphase flows encountered in slurry transport, flue gas desulfurization processes, ejector based obscurant flows and sprays. Homogeneous or spontaneous condensation in supersonic single and multi-component flows.

Orthopaedic Engineering

Kinematics and mechanical characteristics of the knee, hip, ankle, and spine, dynamic stability of the human spine, neuromuscular control, mechanics of injuries, gait analysis, design of medical prostheses and material selection, biomechanical measurements, tools and instrumentation, mechanical properties of bone and soft tissue.

Robotics

Dynamics, control and simulation of flexible multi-jointed mechanical systems for earth and space applications. Biologically inspired and biologically based design and control of walking robots.

Space Structures

Dynamics and control of flexible space structures, maneuver, vibration control and tracking problems.

Mechanical and Aerospace Engineering (EMAE)

UNDERGRADUATE COURSES

EMAE 150, Thermodynamics I, 3

Basic principles of phenomenological and statistical thermodynamics. Fundamental physical ideas, the first and second laws of thermodynamics, and properties of ideal gases from continuum, kinetic, and statistical viewpoints. Applications to various physical systems.

Prerequisite: MATH 223

EMAE 151, Fluid Mechanics I, 3

Physical ideas and formulation of the basic conservation laws. Fluid statics, kinematics, stresses in fluids, flow of real (viscous) fluids, the special case of inviscid fluids, applications to flow in pipes and flow over bodies.

Prerequisite: MATH 224 and EMAE 181

EMAE 152, Thermodynamics II, 3

Thermodynamic properties of liquids, vapors and real gases, non-reactive mixtures, psychometrics and reactive systems; combustion; thermodynamic cycles.

Prerequisite: EMAE 150

EMAE 170, Introduction to Mechanical Engineering, 3

Introduces beginning engineering student to how things work through an insightful overview of mechanical and aerospace engineering. Focus is on automobiles, airplanes and flight mechanics, turbomachinery and electric power generation, manufacturing methods, heating and air conditioning, rockets and space flight mechanics. Relevance of math, science and engineering fundamentals to well-founded B.S. engineering programs.

EMAE 172, Mechanical Manufacturing, 3

Basic methods of manufacturing. Firsthand experience with machining and drawing on campus. Plant tours to a variety of manufacturing facilities in the Cleveland area.

EMAE 181, Dynamics, 3

Elements of classical dynamics: particle kinematics and dynamics, including concepts of force, mass, acceleration, work, energy, impulse, momentum. Kinetics of systems of particles and of rigid bodies, including concepts of mass center, momentum, mass moment of inertia, dynamic equilibrium. Elementary vibrations. ECIV 110 Recommended.

Prerequisite: MATH 122 and PHYS 120

EMAE 192, Engineering Graphics, 2

Development of orthographic and pictorial views for engineering drawings using computer aided design (CAD) software and sketching techniques. Topics include: section views, dimensioning, auxiliary views, and descriptive geometry. Three dimensional visualizations. Use of spreadsheets to develop graphs, charts, and diagrams.

EMAE 250, Computers in Mechanical Engineering, 3

Numerical methods including solutions of nonlinear algebraic equations, solutions of systems of linear algebraic equations, curve fitting, interpolation, and numerical integration and differentiation.

Prerequisite: CMPS 131

EMAE 271, Kinematic Analysis and Synthesis, 3

Graphical, analytical, and computer techniques for analyzing displacements, velocities, and accelerations in mechanisms. Analysis and synthesis of linkages, cams, and gears. Laboratory projects include analysis, design, construction, and evaluation of students' mechanisms.

Prerequisite: EMAE 181

EMAE 282, Mechanical Engineering Laboratory I, 2

Techniques and devices used for experimental work in mechanical engineering and fluid and thermal science. Lectures on topics in the theory of experimentation. Laboratory includes typical experiments, measurements, analysis, and report writing.

Prerequisite: EMAE 150, EMAE 151 and EMAE 181

EMAE 283, Mechanical Engineering Laboratory II, 2

Application of techniques developed in EMAE 282 to solution of individual semester-long experimental projects, including complete report on results.

Prerequisite: EMAE 282

EMAE 350, Mechanical Engineering Analysis, 3

Methods of problem formulation and application of frequently used mathematical methods in mechanical engineering. Modeling of discrete and continuous systems, solutions of single and multi-degree of freedom problems, boundary value problems, transform techniques, approximation techniques.

Prerequisite: MATH 224

EMAE 351, Heat Transfer, 3

Engineering analysis and design in conduction, convection, radiation, and combined heat and mass transfer.

Prerequisite: EMAE 150 and EMAE 151

EMAE 355, Fluid and Thermal Design, 3

Synthesis of fluid mechanics, thermodynamics, and heat transfer. Practical design problems originating from industrial experience.

Prerequisite: EMAE 151 and EMAE 351

EMAE 356, Aerospace Design, 3

Interactive and interdisciplinary activities in areas of fluid mechanics, heat transfer, solid mechanics, thermodynamics, and systems analysis approach in design of aerospace vehicles. Projects involve developing (or improving) design of aerospace vehicles of current interest (e.g., hypersonic aircraft) starting from mission requirements to researching developments in relevant areas and using them to obtain conceptual design. Senior standing required.

EMAE 359, Aero/Gas Dynamics, 3

Review of conservation equations. Potential flow. Subsonic airfoil. Finite wing. Isentropic one-dimensional flow. Normal and oblique shock waves. Prandtl-Meyer expansion wave. Supersonic airfoil theory.

Prerequisite: EMAE 150 and EMAE 151

EMAE 360, Engineering Design, 3

The various elements of design: formulation, conceptualization, selection, and evaluation for the initiation of new designs and the modification of existing designs. Various design methodologies including optimization methods, search techniques, constrained gradient methods, penalty functions, statistical design methods, risk analysis, probabilities of failure, and computer applications.

Prerequisite: Senior standing required.

EMAE 370, Design of Mechanical Elements, 3

Application of mechanics and mechanics of solids in machine design situations. Design of production machinery and consumer products considering fatigue and mechanical behavior. Selection and sizing of basic mechanical components: fasteners, springs, bearings, gears, fluid power elements.

Prerequisite: ECIV 210 and EMAE 271

EMAE 372, Relation of Materials to Design,

Stress in two and three dimensions, plane stress and plane strain, Mohr's circle, stress-strain behavior and static failure theories. A study of the design of mechanical and structural elements considering static failure, elastic stability, residual stresses, stress concentrations, impact, fatigue, creep, and environmental conditions such as temperature. Weekly laboratory experiment coordinated with the classroom lectures.

Prerequisite: ECIV 210

EMAE 374, Creativity and Innovation in Engineering, 3

Processes used to design and develop new products (identifying opportunities and problem specifications; creating new product or process concepts; integrating marketing, manufacturing and engineering; developing detailed designs; and introducing new products commercially) with emphasis on techniques used to develop new ideas. Cross-functional issues including engineering, industrial design, marketing, manufacturing and intellectual property. Weekly lectures and individual and team projects.

EMAE 376, Aerostructures, 3

Mechanics of thin-walled aerospace structures. Load analysis. Shear flow due to shear and twisting loads in open and closed cross-sections. Thin-walled pressure vessels. Virtual work and energy principles. Introduction to structural vibrations and finite element methods.

Prerequisite: ECIV 210

EMAE 378, Mechanics of Machinery I, 3

Comprehensive treatment of design analysis methods of machine components and systems. Emphasis on stress analysis and dynamics.

Prerequisite: EMAE 181

EMAE 381, Flight Dynamics I, 3

Two-semester yearly course covering three subjects, each taking approximately two-thirds of semester. FLIGHT MECHANICS: Aircraft performance including flight envelope, range and endurance, takeoff and landing, longitudinal, lateral, and directional stability and control. ORBITAL MECHANICS: Characteristics of solar system, celestial mechanics, two-body problem, many-body problem. Impulse orbit transfer, low thrust orbit transfer. Interplanetary trajectories, lift-off and planetary entry. PROPULSION: Energy sources of propulsion. Momentum theorems and performance criteria. Air breathing systems and their components. Selection of chemical propellants, liquid and solid propellant rocket elements.

Prerequisite: EMAE 181 and EMAE 359

EMAE 382, Flight Dynamics II, 3

Continuation of EMAE 381.

Prerequisite: EMAE 381

EMAE 387, Vibration Problems in Engineering, 4

Free and forced vibration problems in single and multi-degree of freedom damped and undamped linear systems. Vibration isolation and absorbers. Modal analysis and approximate solutions. Introduction to vibration of continuous media. Noise problems. Laboratory projects to illustrate theoretical concepts and applications.

Prerequisite: MATH 224 and EMAE 181

EMAE 396, Special Topics in Mechanical and Aerospace Engineering I, 1-36

Credit as arranged. Consent of instructor required.

EMAE 397, Special Topics in Mechanical and Aerospace Engineering II, 1-36

Credit as arranged. Consent of instructor required.

EMAE 398, Senior Project, 3

Individual or team design or experimental project under faculty supervisor. Senior standing and consent of instructor required.

GRADUATE COURSES

EMAE 401, Mechanics of Continuous Media, 3

Vector and tensor calculus. Stress and traction, finite strain and deformation tensors. Kinematics of continuous media, general conservation and balance laws. Material symmetry groups and observer transformation. Constitutive relations with applications to solid and fluid mechanics problems.

EMAE 413, Functional Anatomy, 3

The musculoskeletal and associated systems; how mechanical motion is obtained in the human body, qualitative and quantitative description of motion and performance. Dissection, observation and recitation in the anatomy laboratory and supplementary lectures. Consent of instructor required.

EMAE 415, Introduction to Musculo-skeletal Biomechanics, 3

Structural behavior of the musculo-skeletal system. Function of joints, joint loading, and lubrication. Stress-strain properties of bone and connective tissue. Analysis of fracture and repair mechanisms. Viscoplastic modeling of skeletal membranes.

Prerequisite: EMAE 181, ECIV 210

EMAE 453, Advanced Fluid Dynamics I, 3

Derivation and discussion of the general equations for conservation of mass, momentum, and energy using tensors. Several exact solutions of the incompressible Newtonian viscous equations. Kinematics and dynamics of inviscid, incompressible flow including free streamline theory developed using vector, complex variable, and numerical techniques.

EMAE 454, Advanced Fluid Dynamics II, 3

Continuation of EMAE 453. Low Reynolds number approximations. Matching techniques: inner and outer expressions. High Reynolds number approximations: boundary layer theory. Elements of gas dynamics: quasi one-dimensional flow, shock waves, supersonic expansion, potential equation, linearized theory, and similarity rules.

Prerequisite: EMAE 453

EMAE 455, Advanced Thermodynamics, 3

Basic ideas of thermodynamics and dominant methods of their development: operational, postulational, and statistical. Entropy and information theory. Irreversible thermodynamics. Applications.

EMAE 457, Combustion, 3

Chemical kinetics and thermodynamics; governing conservation equations for chemically reacting flows; laminar premixed and diffusion flames; turbulent flames; ignition; extinction and flame stabilization; detonation; liquid droplet and solid particle combustion; flame spread, combustion-generated air pollution; applications of combustion processes to engines, rockets, and fire research.

EMAE 459, Advanced Heat Transfer, 3

Analysis of engineering heat transfer from first principles including conduction, convection, radiation, and combined heat and mass transfer. Examples of significance and role of analytic solutions, approximate methods (including integral methods) and numerical methods in the solution of heat transfer problems.

Prerequisite: EMAE 453

EMAE 460, Theory and Design of Fluid Power Machinery, 3

Fluid mechanic and thermodynamic aspects of the design of fluid power machinery such as axial and radial flow turbomachinery, positive displacement devices and their component characterizations. Consent of instructor required.

EMAE 471, Design Methods, 3

An advanced course on design methodologies. Conceptualization, preliminary design, detail design, and manufacturing. Failure analysis, materials selection, methods of design optimization, and current approaches in computer-aided design.

Prerequisite: EMAE 360

EMAE 472, Computers, Optimization and Design, 3

Application of computer methods to engineering design. Optimization and automated design methods. The use of linear and non-linear programming methods for engineering design and related problems. Unconstrained minimization, penalty functions, feasible directions. Consent of instructor required.

EMAE 473, Mechanical Behavior of Composite Materials, 3

Mechanical properties, static and dynamic characteristics, stress analysis methods, design properties, manufacturing methods, mechanical testing and design considerations.

Prerequisite: ECIV 210

EMAE 478, Mechanics of Machinery I, 3

Comprehensive treatment of design analysis methods of machine components and systems. Emphasis on stress analysis and dynamics.

EMAE 479, Mechanics of Machinery II, 3

A comprehensive treatment of design analysis methods of machine components and systems. Emphasis is on tribology and machinery dynamics.

Prerequisite: EMAE 378 or EMAE 478

EMAE 480, Fatigue of Materials, 3

Fundamental and applied aspects of metals, polymers and ceramics. Behavior of materials in stress and strain cycling, methods of computing cyclic stress and strain, cumulative fatigue damage under complex loading. Application of linear elastic fracture mechanics to fatigue crack propagation. Mechanisms of fatigue crack initiation and propagation. Case histories and practical approaches to mitigate fatigue and prolong life.

EMAE 481, Advanced Dynamics I, 3

Particle and rigid-body kinematics and dynamics. Inertia tensor, coordinate transformations and rotating reference frames. Application to rotors and gyroscopes. Theory of orbital motion with application to earth satellites. Impact dynamics. Lagrange equations with applications to multi-degree of freedom systems. Theory of small vibrations.

Prerequisite EMAE 181

EMAE 484, Mechanism and Motion Synthesis, 3

Vector methods in planar and three-dimensional mechanisms. Matrix methods and relative spatial motion. Mobility analysis of mechanisms. Body guidance, function, and path generation. Optimal synthesis of mechanisms.

Prerequisite EMAE 271

EMAE 486, Stress Waves in Solids, 3

Stress waves in one-dimension, problem formulation for 3-D waves. Reflection and refraction at a plane boundary, stress pulses and Rayleigh surface waves. Wave guides and dispersion relationships. Solutions of mixed initial and boundary value problems for isotropic linear elastic materials. Scattering of elastic waves.

EMAE 487, Vibration Problems in Engineering, 3

Free and forced-vibration problems in single and multi-degree of freedom damped and undamped linear systems. Vibration isolation and absorbers. Modal analysis and approximate solutions. Introduction to vibration of continuous media. Noise problems. Laboratory projects to illustrate theoretical concepts and applications.

Prerequisite: MATH 224 and EMAE 181

EMAE 489, Robotics I, 3

Orientation and configuration coordinate transformations, forward and inverse kinematics and Newton-Euler and Lagrange-Euler dynamic analysis. Planning of manipulator trajectories. Force, position, and hybrid control of robot manipulators. Analytical techniques applied to select industrial robots.

Prerequisite: EMAE 181

EMAE 540, Advanced Dynamics II, 3

Using variational approach, comprehensive development of principle of virtual work, Hamilton's principle and Lagrange equations for holonomic and non-holonomic systems. Hamilton's equations of motion, canonical transformations, Hamilton-Jacobi theory and special theory of relativity in classical mechanics. Modern dynamic system formulations.

EMAE 541, Dynamics of Nonlinear Systems, 3

Nonlinear oscillations; including equations of Duffings, van der Pol, Hill, and Mathieu; and perturbation solution approaches. Bifurcation theory and jump phenomena. Strange attractors, chaos, poincare maps, and related engineering applications.

EMAE 552, Viscous Flow Theory, 3

Compressible boundary layer theory. Blowing and suction effects. Three-dimensional flows; unsteady flows. Introduction to real gas effects.

Prerequisite: EMAE 454

EMAE 554, Turbulent Fluid Motion, 3

Mathematics and physics of turbulence. Statistical (isotropic, homogeneous turbulence) theories; success and limitations. Experimental and observational (films) evidence. Macrostructures and microturbulence. Other theoretical approaches.

Prerequisite: EMAE 454

EMAE 556, Variational Methods in Applied Mechanics, 3

Variational and energy principles in dynamics, structures and mechanics of continua. Calculus of variations, principle of virtual work, energy principles and generalization, statics of deformable bodies, dynamics, development of variational principles in fluid mechanics, direct solution methods. Consent of instructor required.

EMAE 557, Convection Heat Transfer, 3

Energy equation of viscous fluids. Dimensional analysis. Forced convection; heat transfer from non-isothermal and unsteady boundaries, free convection and combined free and forced convection; stability of free convection flow; thermal instabilities. Real gas effects, combined heat and mass transfer; ablation, condensation, boiling.

Prerequisite: EMAE 453 and EMAE 454

EMAE 558, Conduction and Radiation, 3

Fundamental law, initial and boundary conditions, basic equations for isotropic and anisotropic media, related physical problems, steady and transient temperature distributions in solid structures. Analytical, graphical, numerical, and experimental methods for constant and variable material properties. Consent of instructor required.

EMAE 559, Molecular Gas dynamics, 3

Development of the basic kinetic theory model of a gas, including essential physical ideas and some important fundamental results (equilibrium state, entropy, transport coefficients). Numerical methods of analysis, with emphasis on computer simulation techniques, especially Monte-Carlo, molecular-dynamic, and lattice gas methods. Applications to basic fluid flows and low earth orbit flight. Consent of instructor required.

EMAE 570, Computational Fluid Dynamics, 3

Finite difference, finite element, and spectral techniques for numerical solutions of partial differential equations. Explicit and implicit methods for elliptic, parabolic, hyperbolic, and mixed equations. Unsteady incompressible flow equations in primitive and vorticity/ stream function formulations. Steady and unsteady transport (passive scalar) equations. Consent of instructor required.

EMAE 580, Theory of Vibrations, 3

Mathematical foundations and advanced principles of dynamics. Multi-degree of freedom discrete systems. Modal analysis, steady-state and transient response. Non-linear systems and random vibrations.

EMAE 587, Experimental Stress Analysis, 3

Length, displacement and strain measurements. Electric strain gage, moire, photoelasticity and caustic techniques and their applications to stress analysis. Time and spatially resolved measurements using laser interferometry. Loading devices for studying the mechanical response of engineering materials under static, quasistatic and dynamic loading conditions.

Prerequisite: EMAE 401

EMAE 601, Independent Study, 1-36

EMAE 651, Thesis M.S., 1-36

EMAE 655, Theories of Hydrodynamic Stability, 3

Stability of parallel flows: general development with application to channel flows and boundary layer flows; magnetohydrodynamic parallel flows; rotating Couette flow; superposed fluids; thermal instability of fluids heated from below; non-linear considerations.

Prerequisite: EMAE 454

EMAE 657, Experimental Techniques in Fluid and Thermal Engineering Sciences, 3

Exposure to experimental problems and techniques provided by the planning, design, execution, and evaluation of an original project. Lectures: review of the measuring techniques for flow, pressure, temperature, etc.; statistical analysis of data: information theory concepts of instrumentation; electrical measurements and sensing devices; and the use of digital computer for data acquisition and reduction. Graduate standing or consent of instructor required.

EMAE 701, Dissertation Ph.D., 1-36

BACHELOR OF SCIENCE IN ENGINEERING DEGREE
MAJOR IN AEROSPACE ENGINEERING

Hours required for graduation: 134 plus graphics proficiency (EMAE 172 adds 3 hours or EMAE 192 adds 2 hours).

a One of these courses must be a humanities/social science elective.
b Engineering Core Course
c Selected students may be invited to take CHEM 105-106 in place of CHEM 107-108
d Selected students may be invited to take PHYS 123-124, General Physics I, II-Honors (3) in place of PHYS 121-122, General Physics I, II (4).
e May be taken fall or spring semester.

BACHELOR OF SCIENCE IN ENGINEERING DEGREE
MAJOR IN FLUID AND THERMAL ENGINEERING SCIENCES

Hours required for graduation: 134 plus graphics proficiency (EMAE 172 adds 3 hours or EMAE 192 adds 2 hours)

BACHELOR OF SCIENCE IN ENGINEERING DEGREE
MAJOR IN MECHANICAL ENGINEERING

Hours required for graduation: 137

APPROVED TECHNICAL ELECTIVES

The following list of technical electives has been established for both the Fluid and Thermal Engineering Sciences Program and the Mechanical Engineering Program. The courses must be selected to provide a minimum of two additional design credits for each program. Once the design credit minimum is met, the technical electives can be selected from the list of Approved Technical Electives for students of the Department and must be approved by the student's adviser to insure a coherent program of courses to meet the student's professional objectives.

DESIGN ELECTIVES

Fluid and Thermal Engineering Science Program
EMAE 172 Mechanical Manufactuing (1 design credit)
EMAE 271 Kinematic Analysis & Synthesis (1 design credit)
EMAE 370 Design of Mechanical Elements (2 design credits)

Mechanical Engineering Program

EMAE 152 Thermodynamics II (1 design credit)
EMAE 356 Aerospace Design (2 design credits)
EMAE 359 Aero/Gas Dynamics (1 design credit)

Both Programs

EMAE 372 Relation of Materials to Design (2 design credits)
EMAE 374 Creativity and Innovation in (2 design credits)
EMAE 376 Aerostructures (1 design credit)
EMAE 377 Finite Element Applications (1 design credit)
EMAE 378 Mechanics of Machinery I (1 design credit)
EMAE 387/487 Vibration Problems in Eng. (2 design credits)
EMAE 381 Flight Mechanics I (1 design credit)
EMAE 382 Flight Mechanics II (1 design credit)

TECHNICAL ELECTIVES

Aerospace

EMAE 356 Aerospace Design
EMAE 359 Aero/Gas Dynamics
EMAE 376 Aerostructures
EMAE 377 Finite Element Applications
EMAE 381 Flight Dynamics I
EMAE 382 Flight Dynamics II

Biomechanics

EBME 201 Physiology-Biophysics I
EBME 202 Physiology-Biophysics II
EBME 306 Introduction to Biomedical Materials
EBME 309 Modeling of Biomedical Systems
EBME 310 Principles of Biomedical Instrumentation
EMAE 413 Functional Anatomy
EMAE 415 Introduction to Musculoskeletal Biomechanics

Digital Electronics and Control

EEAP 240 Electrionic Circuits I
EEAP 280 Digital Logic Design
EEAP 282 Introduction to Microprocessors
EEAP 383 Microprocessor Applications to Control
Substitutions to this list may be made with the department chair's approval

Dynamics and Vibration

EMAE 378/478 Mechanics of Machinery I
EMAE 387/487 Vibration Problems in Engineering
EMAE 479 Mechanics of Machinery II
EMAE 481 Advanced Dynamics I
EMAE 484 Mechanicms and Motion Synthesis

Fluid and Thermal Engineering

EMAE 152 Thermodynamics II
EMAE 359 Aero/Gas Dynamics
EMAE 453 Advanced Fluid Dynamics I
EMAE 460 Theory & Design of Fluid Power Machinery

Fluid and Thermal Sciences

EMAE 453 Advanced Fluid Dynamics I
EMAE 454 Advanced Fluid Dynamics II
EMAE 455 Advanced Thermodynamics
EMAE 457 Combustion

Mathematics and Statistics

MATH 323 Advanced Calculus
MATH 324 Introduction to Complex Analysis
MATH 331 Computational Linear Algebra
STAT 380 Introduction to Probability
STAT 385 Statistical Methods
STAT 414 Industrial Statistics

Materials

EMSE 301 Fundamentals of Materials Processing
EMSE 303 Mechanical Behavior of Materials
EMSE 307 Foundry Metallurgy
EMSE 313 Engineering Applications of Materials
EMAE 473 Mechanical Behavior of Composite Materials

Mechanical Design

EMAE 372 Relations of Materials to Design
EMAE 374 Creativity and Innovation
EMAE 472 Computers, Optimization and Design

Mechanical Manufacturing

ESCI 250 Production Systems Engineering
ESCI 350 Manufacturing Systems Engineering
OPMT 350 Operations Management
OPMT 352 Design of Production Systems
OPRE 201 Introduction to Operations Research I

Solid Mechanics

ECIV 220 Structural Analysis I
ECIV 221 Structural Design I
EMAE 372 Relation of Materials to Design
EMAE 376 Aerostructures
ECIV 410 Advanced Strength of Materials
EMAE 473 Mechanical Behavior of Composite Material
EMAE 480 Fatigue
EMAE 587 Experimental Stress Analysis

Systems and Control

ESCI 318 Systems Simulation

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