**MECHANICAL ENGINEERING**

**GRADUATE COURSES**

**COURSE DESCRIPTIONS**

**COMPULSORY COURSES**

**ME 501 Analytical Methods in Mechanical Engineering (3 0 3) / 7.5 **

Linear and Non linear ordinary differential equations. Series Solution.Quasi linearization, Picards iteration, perturbation methods. Fourier series. Special functions (Bessel, Legendre, error etc.) Boundary value problems and Sturm Liouville problems. Partial differential equations. Variational calculus. Complex variables theory. Residues and definite integrals. Integral transform techniques (Laplace and Fourier transforms, Convolution theorem, Finite Fourier transforms etc. Fourier integrals) and its applications to partial differential equations. Green’s functions and its applications

**ME 502 Advanced Numerical Methods for Engineers (3 0 3) / 7.5**

Solution of non linear equations, Newton Raphson method, improved Newton-Raphson method, secant method. Numerical solution of non linear boundary value problems of ordinary differential equations. Numerical solution of linear and nonlinear partial differential equations; parabolic equations, hyperbolic equations, elliptic equations. Iteration methods. Nonlinear boundary conditions. Two and three dimensional elliptic and parabolic partial differential equations.

**ME 590 MSc Seminar /Project (0 0 0 )**

**ME 591 Special Studies (0 4 0)**

**ME 599 MSc Thesis (0 0 0)**

**ELECTIVE COURSES**

**ME 504 Mechanical Engineering Measurements (3 0 3) / 7.5**

This course offers extensive mechanical engineering lab experience, including measurement fundamentals, hands-on experiments, uncertainty analysis, technique comparison, and professional engineering reports. It also focuses on the fundamental principles behind each methodology and relevant applications. The topics cover measurement in major mechanical engineering areas including thermodynamics, thermofluids, and control. Specialized experiments include fluidization, CAD/CAM, and NC machining. Comparisons of experimental results against theoretical or computational results are also require.

**ME 506 Advanced Heat Transfer and Applications (3 0 3) / 7.5**

Fundamentals of conduction, convection and radiation heat transfer. Practical engineering applications of heat exchangers including the design approaches by Mean Temperature Difference and Effectiveness-NTU methods, fins, convection fouling factors, and variable property analysis.Emphasis on application of basic equations to engineering problems in areas of conduction, convection, mass transfer and thermal radiation.

**ME 508 Advanced Thermodynamics (3 0 3) / 7.5**

Basic laws of thermodynamics are applied to various thermodynamic systems. Topics include: availability, stability requirements, equation of state, property relations, properties of homogeneous mixtures, important to energy conversion systems. Nonreacting and chemically reacting gases, gas mixtures.

**ME 510 Conduction Heat Transfer (3 0 3) / 7.5**

Continuum concept. Integral and differential formulation methods. Separation of variables. Orthogonal functions. Solutions in cartesian, cylindrical and spherical coordinate systems. Transient conduction. Duhammel’s superposition integral. Solutions with Laplace transform and Fourier integrals. Normalization.

**ME 512 Convection Heat Transfer (3 0 3) / 7.5 **

Basic principles and equations. Laminar flows; two-dimensional parallel flows, buoyancy driven flows, thermal boundary layers, fully developed heat transfer. Boundary layer flows; nearly parallel flows, momentum and thermal boundary layers, non-parallel flows. Similarity solutions; similarity transformation, similarity solution of boundary layers. Turbulent flows; algebraic models, one and two-equation models, heat transfer prediction.

**ME 514 Radiative Heat Transfer (3 0 3) / 7.5**

Fundamentals of thermal radiation, radiative properties of real surfaces, view factors, radiative exchange between gray, diffuse surfaces, radiative exchange between nonideal surfaces, equation of radiative transfer in participating media, the equation of radiative transfer in participating media, radiative properties of molecular gases, particulate and semitransparent media. Approximate and exact solutions for one dimensional media.

**ME 516 Advanced Fluid Mechanics (3 0 3) / 7.5**

Introduction to fluid mechanics. Scalar, vector and tensor analysis. Definition of continuum. Lagrangian and Eulerian description of fluid motion. Transport theorem. Kinematics of fluid motion; streamline, streak line, pathline, vorticity circulation and deformation. Fundamental equations and constitutive relations; continuity, momentum and energy equations. Subsonic potential flow. Application of complex functions to two-dimensional potential flows. Conformal mapping. Surface waves.

**ME 518 Compressile Flow (3 0 3) / 7.5**

One-dimensinal reversible and irreversible comppressible fluid flow, including effects of variable area, friction, mass addition, heat addition, and normak shock; two-dimensional reversible subsonic and supersonic flows, and an introduction to the method of characteristics and two-dimensional oblique shock.

**ME 520 Gas Dynamics (3 0 3) / 7.5**

Physical phenomena of gas dynamics and mathematical methods and techniques needed for analysis. Dynamic and thermodynamic relations for common flow situations are described through vector calculus. The nonlinearity of resulting equations and solutions such as numerical analysis, linearization or small perturbation theory, transformation of variables, and successive approximations are discussed. The method of characteristics is reviewed in detail for shock flows.

**ME 522 Principles of Turbulence (3 0 3) / 7.5**

Methods of description and basic equations for turbulent flows. Isotropic and homogeneous turbulence, energy spectra, and correlations. Transition theory and experimental evidence. Wall turbulence, engineering calculations of turbulent boundary layers. Free turbulent jets and wakes. Reynolds stress and heat-flux equations; second order closures and their simplification; numerical methods; application to engineering problems .Software will be used.

**ME 524 Advanced Dynamics (3 0 3) / 7.5**

Three dimensional kinematics. Coordinate systems and transformations. Spatial rotations. Euler angles. Angle-axis description. Relative velocity and accelerations. Basics of Newtonian mechanics. Newton-Euler equations. Inertia tensor. Rigid body dynamics. Gyroscopic effects. Analytical mechanics. Virtual work. Hamilton’s principle. Generalized coordinates and forces. Lagrange’s equations. Holonomic and nonholonomic constraints. Lagrange’s equations with constraints. Dissipation function.

**ME 525 Theory of Elasticity (3 0 3) / 7.5**

The theory of elasticity deals with the deformations of elastic solids and has a well developed mathematical basis. This course will deal with applied engineering aspects of the theory and will include : definition of stresses, strains, equilibrium and compatibility, derivation of the governing equations, solution of problems in plane stress, plane strain, torsion, bending, introduction to three-dimensional problems. Vectors and tensors will be discussed and used to enhance understanding of the theory where necessary.

**ME 526 Advanced Strength of Materials (3 0 3) / 7.5**

Introduction to plane elasticity teory, equilibrium equations, kinematic relations, compatibilty, symmetrical bending of circular plates, beams on elastic foundations, membrane stresses in thin shells, torsion of prismatic bars.

**ME 528 Continuum Mechanics (3 0 3) / 7.5**

Fundamentals of the mechanics of continuous media. Specific topics include vector and tensor analysis; kinematics associated with finite deformation; the stress tensor; and the conservation laws of mass, linear momentum, angular momentum, and energy. Constitutive equations for linear and non-linear elastic solids and for inviscid and Newtonian fluids are discussed. The role of material invariance under superimposed rigid body motion and material symmetry in the formulation of appropriate constitutive equations are emphasized.

**ME 529 Flexible Multibody Dynamics (3 0 3) / 7.5**

Planar and spatial mechanisms and robotic systems containing flexible links. Kinematics using rigid body and deformation coordinates. Kane's equations. Assumed modes formulation. Couplings between rigid body and deformation coordinates. Mass properties of flexible bodies. Finite element formulation. Coordinate reduction.

**ME 533 Kinematic Synthesis (3 0 3) / 7.5**

Kinematic synthesis in mechanical design. Algebraic and computational tools. The qualitative synthesis of kinematic chains. Function-generation of planar, spherical and spatial linkages. Motion generation and Path generation of planar, spherical and spatial linkages. Optimization problem in the synthesis of planar linkages.

**ME 536 Advanced Robotics (3 0 3) / 7.5**

Robot applications, Robot Classification Object location, Kinematic Equations: Manipulator Position and Manipulator motion, Homogeneous transformations. Differential relationships, Manipulator Jacobian, Dynamics: Lagrange-Euler and Newton-Euler formulations. Motion trajectories control: Motion control and minimum time control. Force Control.

**ME 538 Composite Materials (3 0 3) / 7.5**

Physical properties and mechanical behavior of polymer, metal, ceramic, cementitious, cellulosic and biological composite systems; micro- and macro-mechanics; lamination and strength analyses; static and transient loading; fabrication; recycling; design; analytical-experimental correlation; applications.

**ME 540 Thermal Stresses (3 0 3) / 7.5**

Thermoelasticity; reduction of thermoelastic problems to constant tempature equivalents; fundamentals of heat transfer; and elastic and inelastic stress analysis.

**ME 542 Fracture Mechanics (3 0 3) / 7.5**

Griffith crack theory, stress analysis of cracks, design philosophy, energy approach method, stress analysis approach method, crack-tip plastic zone size estimation, Plane-strain fracture toughness, plane-stress fracture toughness, plane-strain fracture toughness testing, fracture toughness of engineering alloys, toughness determination from crack opening displacement measurement, Fracture toughness and elastic plastic analysis with the J-integral. Fracture test methods: impact energy-fracture toughness correlations. Microstructural aspects of fracture toughness, environment-assisted cracking, cyclic stress-controlled fatigue, cyclic stress-controlled fatigue, fatigue life estimations, fatigue crack propagation, corrosion fatigue, stress-corrosion cracking.

**ME 544 Pressure Vessel Design (3 0 3) / 7.5**

Theories in designing pressure vessels; analysis of circular plates; cylindrical and spherical shells; pressure vessel heads; pipe bends; and attachments. Consideration is also given to pressure vessel materials in fatigue and creep designs.

**ME 546 Modeling and Control of Flexible Manufacturing Systems (3 0 3) / 7.5**

An introduction to flexible manufacturing systems (FMS): definitions, characteristics and types of FMS, examples, a detailed analysis of flexibility and performance issues, flexible manufacturing system as discrete event dynamic systems (DEDS): models used to represent TMS and DEDS: petri nets, min max algebra approach, markov chain, finite state machine approach, simulation models. More emphasis will be given to petri-net and min max approaches, comparison of modeling techniques, control of FMS, control architectures, decomposition and coordination issues, disturbance and necessary corrective control actions, real time scheduling methodologies.

**ME 548 Nontraditional Machining Processes (3 0 3) / 7.5**

A brief overview and evaluation of nontraditional manufacturing processes and their comparison to traditional manufacturing processes. Classification of nontraditional machining processes according to energy used in material removal and overview of process principles, equipment, machining parameters, process capabilities and applications. Mechanical energy: Ultrasonic machining; abrasive jet machining, water jet machining. Electrochemical energy: Electrochemical machining, electrochemical grinding, electrochemical honing. Chemical energy: Chemical machining. Thermal energy: Electric discharge machining (EDM) wire EDM, laser beam machining, plasma machining.

**ME 550 Advanced Machine Vibrations (3 0 3) / 7.5**

Vibrations of linear multi-degree of freedom systems with and without damping. Systems with viscous, hysteretic and Coulomb damping. Determination of equation of motion with Newton Method, Lagrange Method, Energy Method and generalized coordinates. Influence coefficients, potential and kinetic energy expressions in matrix form. Generalized coordinates and generalized forces. Eigenvalue problem and system response. Solution of equation of motion and vibration modes; analytical methods, numerical methods and computational analysis of vibrations and mode shapes Determination of natural frequencies and mode shapes; Dunkerley’s Formula, Rayleigh’s Method, Holzer’s Method, matrix iteration method, Jacobi’s Method. Orthogonality of normal modes, expansion theorem. Unrestrained systems. Introduction to rotor dynamics. Predictive maintenance and some case studies form the industry.

**ME 552 Advanced Combustion (3 0 3) / 7.5**

Chemical & physical process of combustion: ideal combustion, actual combustion, mass balance, energy of reaction, maximum adiabatic combustion temperature, chemical equilibrium, heating values of fuels, combustion in furnaces, internal combustion engines & other heat engines, with emphasis on the analysis & control of the products of combustion in light of environmental considerations.

**ME 554 Computational Fluid Dynamics (3 0 3) / 7.5**

Classification of fluid flow phenomena. Fundamental flow equations. Advantages and disadvantages of numerical methods. Basic steps of numerical methods. Discretization methods. Numerical properties of discretization schemes. Solution of linear algebraic equation systems. Solution of convection-diffusion problems using control volume formulation. Computational methods for incompressible Navier-Stokes equations: Primitive and vorticity based methods, SIMPLE, SIMPLER, SIMPLEC and PISO algorithms. Application of finite difference method to boundary layer type flows. Finite element method and its application to flow problems. Error analysis and physical considerations.

**ME 556 Tribology (3 0 3) / 7.5**

Quality of contacting interfaces. Friction of dry surfaces. Factors affecting friction and theories of friction. The interface temperature and oxide formation during unlubricated sliding. Mechanisms of wear: Adhesive, abrasive, corrosive, fatigue and fretting wear types. Wear measurement. Factors affecting wear and theories of wear. Lubricants and their properties. Solid film and boundary layer lubrications. Hydrostatic and hydrodynamic bearings. Industrial applications of tribology.

**ME 558 Macromolecular Hydrodynamics (3 0 3) / 7.5**

Observed phenomena in polymeric flow systems. Techniques of viscometry and viscoelastic measurements for polymeric fluids. Rheological models. Analytical solutions to flow problems: non-Newtonian viscosity, linear viscoelasticity, normal stresses, recoil, stress relaxation, etc. Dimensional analysis. Unit operations of the polymer industry: extrusion, blow molding, injection molding, mixing

**ME 560 Wind Power (3 0 3) / 7.5**

Fundamentals concepts of the conversion of wind power to mechanical power and electricity.Design of devices to harness the wind energy.Engineering, economic and social issues

**ME 562 Fuel Cell Systems (3 0 3) / 7.5**

Basics of fuel cell engines and electrochemistry in various mobile and stationary applications. Fuel cell energy converters and their subsystems. Design and modelling of fuel cell and hydrogen systems. Software will be used.

**ME 564 Finite Element Method (3 0 3) / 7.5**

Discretization of the domain. Interpolation polynomials. Simplex, complex, and multiplex elements. Interpolation polynomials in terms of global and local coordinates. Formulation of element characteristic matrices and vectors. Variational approach. Assembly of element matrices and vectors and derivation of system equations. Assemblage of element equations. Incorporation of the boundary conditions. Solution of finite element equations. Higher-order and isoparametric formulations. Numerical integration. Applications to static and dynamic analysis of solids and structures, steady and unsteady heat transfer and fluid mechanics problems.

**ME 566 Fluid Power Control (3 0 3) / 7.5**

Theory and design of hydraulic and pneumatic control systems and components, and their applications. Pressure-flow relationships for hydraulic and pneumatic valves. Valve configurations. Valve operating forces. Linkage, force, load pressure and dynamic pressure feedback in valves. Closed loop systems for the control of pressure, flow, speed, position, force and other quantities. Hydraulic and pneumatic components. Application of basic principles to component and system design.

**ME 568 Internal Combustion Engines (3 0 3) / 7.5**

Thermodynamic analysis of engine processes. Thermodynamic simulation methods. Theory of two-stroke cycle operation and super charging. Manifold tuning. Characteristics of engine performance.

**ME 570 Microscale Fluid Mechanics (3 0 3) / 7.5**

Phenomena of physical ,technical and biological importance in flows of gases and liquids at the microscales.Newtonian fluid mechanics.one dimensional flows in confined geometries.Flow of thin films spreading under gravity and surface tension. Lubrication theory of compressible gases..Air bearings.Two and Three Dimensional flows with Stokes equations.Intermolecular forces in liquids and gases, slip, diffusion and bubles.

**ME 572 Biomedical Heat and Mass Transfer (3 0 3) / 7.5**

Principles of heat and mass transfer applied to biomedical systems. Heat transfer between the biomedical system and its environment. Mass transfer across cell membranes and the design and analysis of artificial human organs.

**ME 574 Bearings and Lubrication (3 0 3) / 7.5**

The theoretical and physical aspects of lubrication: hydrostatic and hydrodynamic problems. Reynold's differential equation for pressure distribution applied to slider bearing and journal bearing problems with and without end leakage.

**ME 576 Air Pollution and Control Technologies (3 0 3) / 7.5**

Formation of air pollution and related definitions. Fuels, emissions and emission formation mechanisms. Environmental aspects of air pollution. Legal aspects of air pollution. Air pollution control acts and their applications. Technical aspects of air pollution. Air pollution control technologies. Internal and external emission control methods .Environmental chimney design. Measurement and analyses aspect of air pollution. Emission and imission measurements. Flue gas purification and applications. Flue gas dust, SO2, NOx.

**ME 578 Refrigeration and Air Conditioning (3 0 3) / 7.5**

Refrigeration and air conditioning cycles; comfort analysis, psychometric chart analysis, heat and mass transfer steady and transient processes, heating and cooling design loads, energy loads and standards requirements.

**ME 580 Energy Conversion Principles (3 0 3) / 7.5**

Fundementals principles of energy conversion processes.Development of theoretical and computational tools to analyze energy conversion processes Introduction to modern computationasl methods to model energy conversion performance characteristics of devices.Performance futures,sources of inefficiencies.Optimal design methods are studied for a variety of applications such ascombustion fired power systems. Solar, wind, thermoelectric and geothermal energy sources.

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