Sunday, June 24, 2012
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 Knowledge of partial differential equations, Heat Transfer and 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 – Turbulent–Kinetic 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 – Pressure Correction equation, SIMPLE algorithm and its variants. Turbulence models, mixing length model,
Two
equation (k-Є) 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. Date Cambridge University
Press, 2005.
By Vinoth
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