### ME2032 COMPUTATIONAL FLUID DYNAMICS Syllabus for Mechanical Seventh(7th) Semester - Anna University

ME2032                    COMPUTATIONAL FLUID DYNAMICS                             L T P C
3 0  0  3
AIM:
To impart the knowledge of numerical techniques to the solution of fluid dynamics and heat transfer problems.

OBJECTIVES:
·    To introduce Governing Equations of vicous fluid flows
·    To introduce numerical modeling and its role in the field of fluid flow and heat transfer
·    To enable the students to understand the various discretization methods, solution procedures and turbulence modeling.
·    To create confidence to solve complex problems in the field of fluid flow and heat transfer by using high speed computers.

PREREQUISITE:
Fundamental Knowledgo partial differential equations, Heat Transfer an Fluid
Mechanics

UNIT I             GOVERNING EQUATIONS AND BOUNDARY CONDITIONS                 8
Basics of computational fluid dynamics Governing equations of fluid dynamics Continuity, Momemtum and Energy equations – Chemical species transport Physical boundary conditions Time-averaged equations for Turbulent Flow TurbulentKinetic Energy Equations Mathematical behaviour of PDEs on CFD - Elliptic, Parabolic and Hyperbolic equations.

UNIT II             FINITE DIFFERENCE METHOD                                                              9
Derivation of finite difference equations Simple Methods General Methods for first and second order accuracy solution methods for finite difference equations Elliptic equations – Iterative solution Methods – Parabolic equations Explicit and Implicit schemes Example problems on elliptic and parabolic equations.

UNIT III            FINITE VOLUME METHOD (FVM) FOR DIFFUSION                             9
Finite volume formulation for steady state One, Two and Three -dimensional diffusion problems.    One  dimensional  unsteady  heat  conduction  through  Explicit,  Crank  Nicolson and fully implicit schemes.

UNIT IV          FINITE VOLUME METHOD FOR CONVECTION DIFFUSION              10
Steady one-dimensional convection and diffusion Central, upwind differencing schemes-properties of discretization schemes – Conservativeness, Boundedness, Trasnportiveness, Hybrid, Power-law, QUICK Schemes.

UNIT V           CALCULATION FLOW FIELD BY FVM                                                   9
Representation of the pressure gradient term and continuity equation Staggered grid Momentum equations Pressure and Velocity corrections Pressur Correction equation, SIMPLE algorithm and its variants.  Turbulence models, mixing length model, Two equation (k-Ð„) models High and low Reynolds number models
TOTAL: 45 PERIODS
TEXT BOOKS:

1.  T.J. Chung, Computational Fluid Dynamics, Cambridge University, Press, 2002.

2.  Versteeg,  H.K.,  and  Malalasekera,  W.,  An  Introduction  to  Computational  Fluid
Dynamics: The finite volume Method, Longman, 1998.
3.  Ghoshdastidar , P.S., computer Simulation of flow and heat transfer, Tata McGraw
Hill Publishing Company Ltd., 1998.

REFERENCES:
1.  Patankar, S.V. Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing
Corporation, 2004.
2.  Muralidhar, K., and Sundararajan, T., computationsl Fluid Flow and Heat Transfer, Narosa Publishing House, NewDelhi, 1995.
3.  Ghoshdastidar P.S., Heat Transfer, Oxford Unversity Press, 2005.
4.  Prodip Niyogi, Chakrabarty .S.K.,  Laha .M.K.  Introduction to Computational Fluid
Dynamics, Pearson Education, 2005.
5.  Introduction to Computational Fluid Dynamics Anil W. Dat Cambridge University
Press, 2005.

By Vinoth
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