Mechanical Engineering

ME 5105 (3 Credits) Basic Concepts of Continuum Mechanics
An introductory course in the theory of continuum mechanics. Development of physical principles using
cartesian tensors. Concepts of stress, strain and motion. Basic field equation for the Newtonian fluid and
the elastic solid.
ME 5110 (3 Credits) Advanced Thermodynamics
Microscopic view of thermodynamics: probability and statistics of independent events, thermodynamic
probabilities and most probable thermodynamic distributions, molecular structure and partition function, Ensemble of microstates describing macroscopic behavior, with ideal gas as an example, Macroscopic descriptions of thermodynamic equilibrium and equilibrium states, Reversible processes, Heat and Work interactions, Mixtures of pure substances and chemical equilibrium, Stability and phase transitions, Irreversible thermodynamics, Onsager reciprocity relations and thermo-electric effects, Kinetic theory of gases.

ME 5120 (3 Credits) Advanced Thermo-Fluids I
Fluid as a continuum, Kinematics and decomposition of fluid motion, Conservation of mass and momentum, Navier-Stokes equations, Conservation of energy, Exact solutions to governing equations, Potential flows, Vorticity dynamics and low Reynolds number flows, Laminar boundary layers including heat transfer, Laminar free shear flows including heat transfer, Flow instabilities and transition.

ME 5130 (3 Credits) Advanced Heat and Mass Transfer
Review of thermophysical properties of matter including nanoscale effects. Exact and computational solutions of heat conduction equation. Dimensionless conduction rate approach for steady-state and transient conduction. Species diffusion equations with emphasis on stationary media and partitioning effects. Navier-Stokes equations and exact solutions for special cases. Correlation approach for the treatment of single-phase laminar, turbulent and two-phase flow. Radiative properties and treatment of surface radiation with spectral and directional effects. Emphasis on multimode heat transfer with applications in manufacturing, nanotechnology, information technology and biotechnology.

ME 5140 (3 Credits) Heat and Mass Transfer in Multiphase Systems
Presentation of basic principles for analysis of transport phenomena in multi-phase systems and how they can be applied to a wide variety of applications. The scope is limited to thermodynamics and heat and mass transfer fundamentals in solid <-> liquid, liquid <-> vapor and solid <-> vapor with the emphasis in
condensation, evaporation, sublimation, vapor deposition, boiling, two-phase flow, melting and

ME 5150 (3 Credits) Analytical and Applied Kinematics
Analytical methods of coordinate transformation and two and three-dimensional motion, analysis of relative motion and relative freedom through kinematics connections, the study of finite and instantaneous properties of motion, study of the geometry of single and multi-parameter engineering curves, surfaces and motions. Application in the analysis and design of linkages and mechanisms.

ME 5160 (3 Credits) Theory and Design of Automatic Control Systems
Design features of a closed loop control system. Laplace domain analysis of electromechanical, pneumatic, hydraulic, thermal, and mechanical systems. Computer simulation of dynamic responses using software tools. Stability issues, Routh analysis, root locus, Bode and Nyquist analyses are addressed. An open-ended, hands-on design project from a current research topic is assigned.

ME 5180 (3 Credits) Dynamics
Three-dimensional particle and rigid-body mechanics. Particle kinematics. Newton’s laws, energy and momentum principles. Systems of particles. Rigid body kinematics, coordinate transformations. Rigid body dynamics, Euler’s equations. Gyroscopic motion. Lagrange’s equations.

ME 5190 (3 Credits) Advanced Mechanics of Materials
This course covers the fundamental idealizations used in linear solid mechanics and the fundamental
principles of the subject. Idealizations covered include beams, circular torsion, struts and thick cylinders. Basic principles include the principle of minimum potential energy, the principle of minimum complementary energy, virtual work, equations of static equilibrium and direct and potential methods of solving equilibrium equations. Example applications vary but may include, bounding of elastic properties of
composites, derivation of finite elements, the solution of plate problems by Green’s functions and others.

ME 5311 (3 Credits) Instructor Consent Required, Computational Methods of Viscous Fluid Dynamics
An advanced course on integral and finite-difference methods of solution of the parabolic and elliptic
equations of viscous fluid flow. Method of weighted residuals; Crank-Nicolson; Dufort-Frankel; Peaceman-Rachford alternating direction method; truncation error analysis; stability. Applications to
boundary layer and heat transfer problems. A background of FORTRAN programming and numerical analysis is necessary.

ME 5320 (3 Credits) Flow of Compressible Fluids I
Equations of motion of a compressible fluid. Quasi-one-dimensional flow including effects of friction, heat addition, and normal shocks. Two and three-dimensional flows. Velocity potential and stream function. Small perturbation theory. Subsonic pressure correction formulas. Kelvin and Crocco Theorems. Method of characteristics for steady and unsteady, rotational and irrotational flows. Curved and oblique shock waves. Shock tube theory.

ME 5341 (3 Credits) Radiation Heat Transfer
Fundamentals of radiative emission (black body behavior and Planck’s law), surface properties (emissivity, absorptivity, reflectivity, and transmissivity), electromagnetic theory for prediction of radiative properties, development of the methods of solution for radiant energy interchange between surfaces and in enclosures with and without absorbing, emitting, and scattering media present.
Prerequisite: ME 5507

ME 5420 (3 Credits) Mechanical Vibrations I
Variational principles, Lagrange’s equation. Equations of motion for multi-degree of freedom systems. Free vibration eigenvalue problem: modal analysis. Forced solutions: general solutions, resonance, the effect of damping, and superposition. Vibrations of continuous systems: vibration frequencies and mode shapes for strings, bars, membranes, beams, and plates. Experimental methods and techniques.

ME 5507 (3 Credits) Engineering Analysis I
Matrix algebra, indicial notation and coordinate transformations. Cartesian and general vectors and tensors, vector and tensor calculus. Partial differential equations: Fourier series, solution procedures to boundary value problems in various domains. Application to the mechanics of continuous media.

ME 5511 (3 Credits) Principles of Optimum Design
Engineering modeling and optimization for graduate students in all areas of engineering. Problem formulation, mathematical modeling, constrained and unconstrained optimization, interior and boundary optima constraint interaction, feasibility and boundedness, model reduction, sensitivity analysis, linear programming, geometric programming, nonlinear programming, and numerical methods in optimization.

ME 6130 (3 Credits) Advanced Thermo-Fluids II
Review of governing flow equations, instability and transition, Reynolds averaging and closure approximations, Algebraic turbulence models, Two-equation turbulence models, Large eddy simulations
Turbulence statistics: probability density function and power spectral densities, Energy cascade and intermittency, Turbulent boundary layers including heat transfer, Turbulent free shear flows, Turbulent internal flows (pipes and channels) including heat transfer, Natural convection.