EFFECT FROM THE ACADEMIC YEAR 2013 - 2014

 

ME 412

COMPUTATIONAL FLUID FLOW

 

Instruction                                                                                                                                                                                                                                                                           4  Periods per week

Duration of University Examination                                                                                                                                                                                                                                   3  Hours

University Examination                                                                                                                                                                                                                                                      75 Marks

Sessional                                                                                                                                                                                                                                                                             25 Marks

 

UNIT-I

 

Review of the basic fluid dynamics: Continuity, Momentum and Energy equations-Navier Stokes equations, Reynolds and Favre averaged N-S equations. Heat transfer conduction equations for steady and un-steady flows, Steady convection -diffusion equation

 

UNIT-II

 

Introduction to turbulence, Mixing length model, K-epsilon turbulence model. Classification of Partial differential equations -Elliptic, parabolic and hyperbolic equations. Initial and boundary

value problems

 

UNIT-III

 

Concepts of Finite difference methods-forward, backward and central difference. Finite difference solutions-Parabolic partial differential equations-Euler, Crank Nicholson, Implicit methods.

Errors, consistency, stability analysis -Von Neumann analysis. Convergence criteria.

 

UNIT-IV

 

Elliptical partial differential equations- Jacobi, Gauss Seidel and ADI methods.

 

Viscous incompressible flow, Stream function-Vorticity method

 

Introduction to grid generation -Types of grid-O,H,C.

 

UNIT-V

 

Introduction to finite volume method. Finite volume formulations for diffusion equation, convection diffusion equation. Solution algorithm for pressure velocity coupling in steady flows Staggered grid, SIMPLE Algorithm.

Suggested Reading:

 1.Pradip Niyogi, Chakrabartty S K, Laha M K, Introduction to Computational Fluid Dynamics, Pearson Education,2005.

 2.Muralidhar K, Sundararajan T, Computational Fluid Flow and Heat Transfer, Narosa Publication House, New Delhi, 2003.

 3.Chung T J, Computational Fluid Dynamics, Cambridge University Press, New York, 2002.

 4.John D Anderson, Computational Fluid Dynamics, Me Graw Hill Inc., New York, 2003.

 5.Patankar S V, Numerical Heat Transfer and Fluid flow, Hemisphere Publishing Company, New York, 1980.

 

6.    H.K.Versteeg, W. Malalasekara, An Introduction to Computational Fluid Dynamics, Pearson Education, 2^nd Ed. 2007.