Core Course Structure and Syllabus

Dept. of Mechanical Engineering

M Tech (Fluids and Thermal Engineering)

SEMESTER-I

SEMESTER-II

SEMESTER-III

SEMESTER-IV

ME 520 Fluid Mechanics

Introduction: Review of tensor algebra; continuum hypothesis; Eulerian and Lagrangian viewpoints; Reynolds transport theorem.

Conservation laws: Mass conservation; Momentum conservation, strain rate tensor, vorticity transport equation; Conservation of angular momentum.

Approximate solutions for incompressible flow: Plane Poiseuille flow, linear and rotational Couette flow, Stoke’s oscillating plate.

Potential flows: Stream function, velocity potentials, Kelvin’s circulation theorem, principle of superposition, Magnus effect, lift and drag on two-dimensional shapes.

Boundary Layer Theory: Derivation of boundary layer equation, order-of-magnitude analysis, flow over flat plate, Blausius equation, Falker-Skan equation, momentum integral method, separation of boundary layers.

Introduction to turbulence: Physical and mathematical description of turbulence, Reynolds equation of turbulent motion, Turbulence modeling.

Introduction to compressible flows: Isentropic flow, flow with area change.

References

1. P. Kundu, I. Cohen and D. Dowling, Fluid Mechanics, Elsevier, 6 ^th Edition, 2015.
2. R.L. Panton, Incompressible Flow, Wiley, 4^th Edition, 2013.
3. G.K. Batchelor, An Introduction to Fluid Dynamics, Cambridge University Press, 2000.
4. J.D. Anderson Jr., Fundamentals of Aerodynamics, McGraw Hill, 5 ^th Edition, 2010.
5. F.M. White, Viscous Fluid Flow, McGraw-Hill Education, 3^rd Edition, 2017.
6. H. Schlichting, K. Gersten, Boundary Layer Theory, Springer-Verlag Berlin Heidelberg, 9^th Edition, 2017.

ME 521 Conduction and Radiation

Conduction: Fourier’s law of heat conduction, Initial and Boundary conditions, Steady and unsteady heat conduction problems and their solutions in Cartesian, cylindrical and spherical coordinates, Separation of variables method, Method of superposition, Bessel’s equation and Bessel functions, Semi-infinite media, Laplace Transform, Approximate analytical solution, Conduction with Phase Change (Melting and Solidification).

Radiation: Laws of Radiation, Intensity of Radiation, Irradiation, Radiosity, Radiative properties of surfaces, Radiation exchange between surfaces, View Factor, Radiation exchange in a black enclosure, Radiative heat transfer in participating media(Gas Radiation), Radiative Transfer Equation.

References

1. D W Hahn, and M N Ozisik, Heat Conduction, John Wiley & Sons, 3 ^rd Edition, 2012.
2. F P Incropera, D P Dewitt, T L Bergman, and A S Lavine, Incropera’s Principles of Heat and Mass Transfer, Wiley, 2018.
3. V S Arpaci, Conduction Heat Transfer, Addison-Wesley, Reading, MA, 1966.
4. M F Modest, Radiative Heat Transfer, Academic Press, 3^rd Edition, 2013.
5. J R Howell, M P Menguc, and R Siegel, Thermal Radiation Heat Transfer, CRC Press, 6^th Edition, 2015.

ME 522 Convective Heat Transfer

Transport equations and boundary conditions; Order of magnitude analysis, Reynolds analogy.

Forced Convection : Convective heat transfer in external flows: Boundary layer Approximations to momentum and energy equations, Similarity solution techniques, Momentum and energy integral methods and their applications in flow over flat plates with low and high Prandtl number approximations. Convective heat transfer in Laminar internal flow: (a) Exact solutions to N-S equations for flow through channels and circular pipe, Fully developed forced convection in pipes with different wall boundary conditions, Forced convection in the thermal entrance region of ducts and channels (Graetz solution), heat transfer in the combined entrance region, (b) Integral method for internal flows with different wall boundary conditions. Elements of turbulent heat transfer.

Natural convection : Introduction to natural convection; Boussinesq approximation and scaling analysis; Similarity solution of natural convection equations for boundary layers; Laminar and turbulent free convection;

Fundamentals of boiling and condensation; Deviations from continuum: wall slip and thermal creep, an introduction to convective transport of heat in micro-scales; Conjugate heat transfer problems.

References

1. W. M. Kays, E. M. Crawford, and B. Weigand, Convective Heat and Mass Transfer, Tata McGraw Hill, 4^th Edition, 2012.
2. Louis C Burmeister, Convective Heat Transfer, John Wiley and Sons, 2 ^nd Edition, 1993.
3. Adrian Bejan, Convective Heat Transfer, John Wiley and Sons, 4 ^th Edition, 2013.
4. P.H. Oostuizen and D. Naylor, Introduction to Convective Heat Transfer Analysis, McGraw-Hill, 1999.
5. F P Incropera, D P Dewitt, T L Bergman, and A S Lavine, Incropera’s Principles of Heat and Mass Transfer, Wiley, 2018.

ME 523 Advanced Thermodynamics

Review of basic thermodynamics: First & Second laws, Concept of entropy and entropy generation, Entropy balance for closed & open systems; Concept of exergy & irreversibility, Exergy analyses of open and closed system

Thermodynamic property relations: Maxwell relations; Relations involving enthalpy, internal energy and entropy; Mayer relation, Clausius-Clapeyron equation, Joule-Thompson experiment.

Properties of gas mixtures: Multi-component and multi-phase systems, Equations of states and properties of ideal and real gas mixtures, Change in entropy in mixing.

Irreversible thermodynamics: Finite time thermodynamic principle, Optimization of various thermodynamic systems, Principles of entropy generation minimization.

Thermodynamics of reactive systems: Combustion and thermochemistry, Reactant and product mixtures, Adiabatic flame temperature, Chemical equilibrium, Equilibrium products of combustion.

Chemical Kinetics: Global versus elementary reactions, Elementary reaction rates, Rates of reaction for multistep mechanisms.

Flames: Types of flames, Simplified analyses of premixed & diffusion flames, Factors influencing flame velocity and thickness, Quenching, flammability and ignition, Flame stabilization.

References

1. Adrian Bejan, Advanced Engineering Thermodynamics, John Wiley & Sons, 4^th Edition, 2016.
2. Stephen R. Turns, An Introduction to Combustion: Concepts & Applications, McGraw-Hill Education, 3^rd Edition, 2012.
3. Kenneth K. Kuo, Principles of Combustion, Wiley India Pvt. Ltd, 2 ^nd Edition, 2012.
4. Michael J. Moran & Howard N. Shapiro, Fundamentals of Engineering Thermodynamics, John Wiley & Sons, 6^th Edition, 2010.
5. Mark W. Zemansky& Richard H. Dittman, Heat & Thermodynamics, McGraw Hill, 8^th Edition, 2017.

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