WITH EFFECT FROM THE ACADEMIC YEAR 2013 - 2014

ME 412

COMPUTATIONAL FLUID FLOWS

(ELECTIVE - I)

Instruction                                                                                                                                                                              4   Periods per week

Duration of University Examination                                                                                                                                          3   Hours

University Examination                                                                                                                                                          75   Marks

Sessional                                                                                                                                                                               25   Marks

Unit-1

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

1. 2.Muralidhar K, SundararajanT, Computational Fluid Flow and Heat Transfer, Narosa Publication House, New Delhi, 2003
   1. 3.Chung TJ, Computational Chiid Dynamics, Cambridge University Press, New York, 2002.

1. 4.John D Anderson, Computational Fluid Dynamics, Me Graw HillInc., New York, 2003.

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

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