Me 501 Advanced Engineering Mathematics (4 0 0 8)

НазваниеMe 501 Advanced Engineering Mathematics (4 0 0 8)
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  1. Groover, M. P., Automation production systems, and computer-integrated manufacturing, second edition, Prentice-Hall of India, New Delhi, 2001.

  2. Vajpayee, S. K., Principles of computer-integrated manufacturing, Prentice-Hall of India, New Delhi, 2005.


ME 610 Project Phase I 0 – 0 – 18 - 18


ME 690 Project Phase II 0 – 0 – 18 - 18

Departmental Electives

Fluids and Thermal Engineering

ME 601 Gas Dynamics (3 0 0 6)

Concepts from thermodynamics; The basic equations of fluid motion; One-dimensional gas dynamics; Isentropic conditions, speed of sound, Mach number, area velocity relations, normal shock relations for a perfect gas, Fanno and Rayleigh flow, one-dimensional wave motion, the shock tube; Waves in supesonic flow: oblique shock waves, supersonic flow over a wedge, Mach lines, piston analogy, supersonic compression by turning, supersonic expansion by turning, the Prandtl-Meyer function, reflection and intersection of oblique shocks, Mach reflection, shock expansion theory, thin aerofoil theory; Flow in ducts and wind tunnels: area relation, nozzle flow, normal shock recovery, effects of second throat, wind tunnel pressure ratio, supersonic wind tunnels; Small perturbation theory; The method of characteristics; Methods of measurement; Computational aspects: One-dimensional inviscid high speed flow.


1. H. W. Liepmann and A. Roshko, Elements of Gas Dynamics, John Wiley, 1960.

2. J. D. Anderson, Modern Compressible Flow, Mc Graw Hill, 1989.

3. B. K. Hodge and C. Koenig, Compressible Fluid Dynamics (with P.C. applications), Prentice Hall, 1995.

4. A. Shapiro, The Dynamics and Thermodynamics of Compressible Flow, The Ronald Press Co., 1954.

ME 602 Computational Fluid Dynamics and Heat Transfer (3 0 0 6)

Root finding; Solution of ODEs, Numerical quadratures; Classification of PDEs; Finite difference discretisation schemes; Convergence, stability, and consistency criterian of finte differenece schemes; finite difference schemes for steady and unsteady heat conduction problems and boundary layer problems.


1. D A Anderson, J C Tannehill, and R H Pletcher, Computational Fluid Mechanics and Heat Transfer, 2nd ed, Taylor & Francis, 1997.

2. Y Jaluria and K E Torrance, Computational Heat Transfer, Springer Verlag, 1986.

3. S V Patankar, Computational Fluid Mechanics and Heat Transfer, Hemisphere, 1980.

ME 603 Radiative Heat Transfer in Participating Media (3 0 0 6)

Fundamentals of thermal radiation; Review of surface radiation- Radiative properties of real surfaces, View factors ; Radiative exchange between gray, diffuse surfaces; The equation of radiative heat transfer in participating media; Radiative properties of molecular gases and particulate media; Exact solutions of one-dimensional gray media; Approximate solution methods for one-dimensional media; Zone method; Spherical harmonics method; Discrete ordinate method; Discrete transfer method; Monte Carlo method; Finite volume method. Radiation combined with conduction and convection.


1. M. F. Modest, Radiative Heat Transfer, McGraw-Hill, 1993.

2. R. Siegel and J. R. Howell, Thermal Radiation Heat Transfer, 3rd ed, Taylor and Francis, 1992.

ME 604 Conduction and Radiation (3 0 0 6)

Conduction: 1-D, 2-D, and 3-D steady conduction; 1-D unsteady conduction; Solution methods - analytical and numerical; Radiation: Fundamentals; Radiative properties of surfaces; Radiant exchange between surfaces; Radiative heat transfer in participating media.


1. M N Ozisik, Heat Conduction, 2nd ed, John Wiley & Sons, 1993

2. F P Incropera and D P Dewitt, Introduction to Heat Transfer, 3rd ed, John Wiley & Sons, 1996

3. V S Arpaci, Conduction Heat Transfer, Addison-Wesley, Reading, MA, 1966

4. M F Modest, Radiative Heat Transfer, McGraw-Hill, 1993

5. R Siegel and J R Howell, Thermal Radiation Heat Transfer, 3rd ed, Taylor & Francis, 1992

ME 621 Refrigeration and Air-Conditioning (3 0 0 6)

Psychrometry; Heating- and cooling-load calculations; Air-conditioning systems; Fan and duct systems; Pumps and pumping; Cooling and dehumidifying coils; Air-conditioning controls; Vapour-compression cycles; Compressors; Condensers and evaporators; Expansion devices; Vapour-compression-system analysis; Refrigerants; Multipressure systems; Absorption refrigeration; Heat pumps; Cooling towers and evaporative condensers.


1. W F Stoecker and J W Jones, Refrigeration and Air Conditioning, 2nd ed, McGraw-Hill International Editions, 1982.

2. J L Threkeld, Thermal Environmental Engineering, 2nd ed, Prentice Hall Inc, 1970.

3. C P Arora, Refrigeration and Air Conditioning, Tata McGraw-Hill, 1996.

ME 647 Numerical Prediction of Industrial Fluid Flows (3 0 0 6)

Introduction. What is a prediction method? Brief Outlines of Industrial applications, Importance of a prediction method, Mathematical description of flow problems; Discretisation methods in primitive variables, Diffusion and Convection, Various Upwind schemes, Generalized formulation, False Diffusion; Calculation of the flow field- The SIMPLE algorithm- Staggered grid, Momentum equation, Pressure and Velocity correction, Pressure correction equation, Sequence of operation, Discussion of the pressure correction equation, The relative nature of pressure, A revised algorithm: SIMPLER; Turbulence modelling- Introduction, Closure problem, Algebraic models, Application to the free shear flows and wall bounded flows. Turbulence energy equation models-One equation model, two equations model, low-Reynolds numbers effects, Second order closure models-Direct numerical and large eddy simulations; Mini Project on numerical solution of practical problems.


1. S. V. Patankar, Numerical Fluid Flow and Heat Transfer, Hemisphere Publishing Corporation, 1980

2. D. C. Wilcox, Turbulence Modelling for C.F.D., D.C.W. Industries Inc., 1993

ME 648 Viscous Fluid Flow (3 0 0 6)

Preliminary concepts; Conservation of mass, momentum and energy; Exact solutions of the viscous flow equations: Couette flows, Poiseuille flow through ducts, unsteady duct flows; Laminar boundary-layers: integral analysis and similarity solutions; Laminar free shear flows: jet, wake, and plume; Stability of laminar flows; Turbulent flow: fundamentals, Reynolds-averaged equations, velocity profile in wall-bounded flows, turbulent flow in pipes and channels, turbulent free-shear flows (jet, wake, and plume); Turbulence modelling: zero, one, and two equation models of turbulence; Numerical methods.


1. Frank M White, Viscous Fluid Flow, McGraw-Hill, 1991.

2. Schlichting and Gersten. Boundary-Layer Theory. Springer-Verlag, 2000.

3. F S Sherman, Viscous Flow, McGraw-Hill, 1990.

ME 650 Gas Turbine Theory (3 0 0 6)

General Considerations of Turbomachinery: Classification; Euler’s Equation for Turbomachinery; Velocity triangle; Cascade analysis & nomenclature. Shaft Power & Aircraft Propulsion Cycles. Centrifugal Compressors: Workdone and pressure rise; Slip; Compressibility effects; Compressor characteristics. Axial Flow Compressors: Stage pressure rise; Blockage in compressor annulus; Degree of reaction; 3-D flow; Stage performance; h-s diagram & efficiency; Off design performance; Performance characteristics; Design process. Combustion System. Axial Flow Turbines: Stage performance; Degree of reaction; h-s diagram & efficiency; Vortex theory; Overall turbine performance; Performance characteristics; Blade cooling; Design process. Prediction of performance of simple gas turbines; Off Design performance; Gas turbine blade materials; Matching procedure.

Texts :

1. H. Cohen, Gas Turbine Theory, 4th Edition, Longman, 1998.

2. S.L.Dixon, Fluid Mechanics, Thermodynamics of Turbomachinery, Pergamon Press, 1998.

3. Jack D. Mattingly, Elements of Gas Turbine Propulsion, McGraw-Hill, Inc., 1996.

4. B. Lakshminarayana, Fluid Dynamics & Heat Transfer of Turbomachinery, John Wiley & Sons, 1996.

ME 651 Numerical Methods for Thermal Radiation Heat Transfer (3 0 0 6)

Pre-Requisite : ME-604 Conduction and Radiation

Fundamentals of thermal radiation; Radiative transfer without participating media; Radiative transfer with participating media; Governing equations in radiative transfer analysis with participating media; Methods for solving radiative transfer problems - analytic method, Monte Carlo method, zonal method, flux method, P-N approximation, discrete ordinate method, finite element method, discrete transfer method, finite volumet method, collapsed dimension method. Application of numerical methods for solving conjugate radiation, conduction and/or convection problems in 1-D and 2-D Cartesian and axi-symmetric geometry.


1. R. Siegel and J. R. Howell, Thermal Radiation Heat Transfer, 3rd edition, Taylor and Francis, 1992.

2. M. F. Modest, Radiative Heat Transfer, McGraw-Hill, 1993.

3. M. N. Ozisik, Radiative Transfer and Interactions with Conduction and Convection, John Wiley & Sons, 1973.

ME 652 Principles of Heat Transfer in Porous Media (3 0 0 6)

Prerequisites: ME-604: Conduction and Radiation; ME-522: Convective Heat and MassTransfer

Introduction; Fluid mechanics – Darcy momentum equation; Porosity; Pore structure; Permeability; High Reynolds number flows; Brinkman superposition of bulk and boundary effects; Local volume-averaging method; Homogenization method; Semiheuristic momentum equations; Significance of macroscopic forces; Porous plain media interfacial boundary conditions; Variation of porosity near bounding impermeable surfaces. Conduction heat transfer Local thermal equilibrium; Local volume averaging for periodic structures; Particle concentrations from dilute to point contact; Areal contact between particles caused by compressive force; Statistical analysis: A variational formulation; A thermodynamic analogy. Convection heat transfer – Dispersion in a tube: Hydrodynamic dispersion; Dispersion in porous media; Local volume averaging for periodic structures; Three dimensional periodic structures; Dispersion in disordered structures: Simplified hydrodynamics, particle hydrodynamics; Properties of dispersion tensor; Experimental determination of D; Dispersion adjacent to bounding surfaces. Radiation heat transfer – Continuum treatment; Radiative properties of single particle; Radiative properties: Dependent and Independent; Volume averaging for independent scattering; Experimental determination of radiative properties; Boundary conditions; Solution methods for equation of radiative transfer; Scaling in radiative heat transfer; Noncontinuum treatment: Monte Carlo simulation; Radiant conductivity; Modeling dependent scattering; Recent developments in the analysis of heat transfer in porous media.


1. M. Kaviany, Principles of Heat T ransfer in Porous Media, Springer-Verlag, New York, 1991.

2. R. G. Carbonell and S. Whitaker, Heat and Mass Transfer in Porous Media, in Fundamentals of Transport Phenomena in Porous Media, Bear and Corapcioglu, eds., Martinus Nijhoff Publishers. 1984.


1. Transport in Porous Media

2. International Journal of Heat and Mass Transfer

3. Numerical Heat Transfer, Part A and Part B

4. Journal of Heat Transfer

5. Journal of Thermophysics and Heat Transfer

6. Journal of Fluid Mechanics

ME 653 Jet Propulsion (3 0 0 6)

Air breathing and non-air breathing engines, aircraft gas turbine engine, cycles analysis of ideal and real engines, components performance-intake, combustor, nozzle, turbomachinery, etc. Turbojet, turboprop, turbofan engines, ramjet and pulsejet, performance parameters like thrust, propulsive efficiency, etc. Chemical Rockets, types of propellants and their properties, injectors, thrust chamber, burning rate, cryogenic propellant, combustion phenomena, thrust vector control, ignition and inhibitors. Basics of Electrical and Nuclear rockets.


1. J Mattingly, Elements of Gas Turbine Propulsion, McGraw-Hill Publications, 1996.

2. G.P. Sutton and O. Biblarz, Rocket Propulsion Elements, John Wiley & Sons, 2001.

3. G.C.Oates, Aerothermodynamics of Gas Turbine and Rocket Propulsion, AIAA, New York, 1988.

4. N.A.Cumpsty, Jet Propulsion, Cambridge University Press, 2000.

5. P G Hill and C R Peterson, Mechanics and Thermodynamics of Propulsion, Addison Wesley, 1965.

6. M J Zucrow, Aircraft and Missile Propulsion (Vol. I and II), John Wiley, 1958.

7. W W Bathie, Fundamentals of Gas Turbines, John Wiley, 1996.

8. H Cohen, G F C Rogers and H I H Saravanamuttoo, Gas Turbine Theory, Addison Wesley, 1998.

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Me 501 Advanced Engineering Mathematics (4 0 0 8) iconAdvanced Mathematical Methods in Science and Engineering, Second Edition

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