CH3027 Computational Fluid Dynamics Syllabus:

CH3027 Computational Fluid Dynamics Syllabus – Anna University Regulation 2021

UNIT I GOVERNING EQUATIONS

Governing equations of fluid flow and heat transfer – Navier-Stokes equations for a Newtonian fluid, Classification of physical behaviour, Classification of fluid flow equations, Auxiliary conditions for viscous fluid flow equations.

UNIT II TURBULENCE AND ITS MODELLING

Transition from laminar to turbulent flow, Effect of turbulence on time-averaged Navier-Stokes equations, Characteristics of simple turbulent flows, free turbulent flows, flat plate boundary layer and pipe flow, Turbulence models, mixing length model, The k-omega model, Reynolds stress equation model, algebraic stress equation model.

UNIT III FINITE VOLUME METHOD FOR DIFFUSION PROBLEMS

Introduction to finite volume method, one-dimensional steady state diffusion, two-dimensional diffusion, discretised equations for diffusion problems.

UNIT IV FINITE VOLUME METHOD FOR CONVECTION-DIFFUSION PROBLEMS

Steady one-dimensional convection and diffusion, the central differencing scheme, properties of discretisation schemes – conservativeness, boundedness, transportiveness, Assessment of the central differencing scheme for convection-diffusion problems, The upwind differencing scheme, hybrid differencing scheme, power-law scheme, higher order differencing schemes, quadratic upwind differencing scheme.

UNIT V FINITE VOLUME METHOD FOR UNSTEADY FLOWS

One-dimensional unsteady heat conduction, transient convection-diffusion equation, solution procedure for unsteady flow calculations. Implementation of inlet, outlet and wall boundary conditions, constant pressure boundary condition.

TOTAL: 45 PERIODS

COURSE OUTCOMES:

On completion of the course, the students will be able to
CO1: Understand the basics of CFD and governing equations for conservation of mass momentum and energy
CO2: Understand mathematical characteristics of partial differential equations
CO3: learn computational solution techniques for time integration of ordinary differential equations
CO4 gain knowledge in various discreitization techniques used in CFD
CO5: Understand flow field computation techniques for steady and unsteady flows

TEXT BOOKS

1. Versteeg H. K. and Malalasekera, W., An introduction to computational fluid dynamics: the finite volume method, Second edition, Pearson, 2008.
2. Anderson, J. D. Computational fluid dynamics: The Basics with Applications, McGraw-Hill, 1995.

REFERENCE BOOKS

1. Ranade, V. V., Computational flow modeling for Chemical Reactor Engineering, Academic Press, 2002.