EY4202 Computational Fluid Dynamics for Energy Systems Syllabus:

EY4202 Computational Fluid Dynamics for Energy Systems Syllabus – Anna University PG Syllabus Regulation 2021

COURSE OBJECTIVES:

1. To make students familiarize with the computational analysis.
2. To understand, apply and analyze to numerically solve the steady and unsteady diffusion problems by various schemes.
3. To understand, apply and analyze to numerically solve the convection-diffusion problems by various discretization techniques.
4. To study and understand the discretization of incompressible flow governing equations by various pressure velocity decoupling algorithms.
5. To impart and make students familiarize with the knowledge of various turbulence models

UNIT- I GOVERNING DIFFERENTIAL EQUATIONS AND DISCRETISATION TECHNIQUES

Basics of Heat Transfer, Fluid flow – Mathematical description of fluid flow and heat transfer – Conservation of mass, momentum, energy and chemical species – Classification of partial differential equations – Initial and Boundary Conditions – Discretization techniques using finite difference methods – Taylor’s Series – Uniform and non-uniform Grids, Numerical Errors, Grid Independence Test.

UNIT- II DIFFUSION PROCESSES: FINITE VOLUME METHOD

Steady one-dimensional diffusion, two and three dimensional steady state diffusion problems, Discretization of unsteady diffusion problems – Explicit, Implicit and Crank-Nicholson’s schemes, Stability of schemes.

UNIT- III CONVECTION-DIFFUSION PROCESSES: FINITEV OLUME METHOD

One dimensional convection – diffusion problem, Central difference scheme, upwind scheme –Hybrid and power law discretization techniques – QUICK scheme. – Assessment of discretization scheme properties.

UNIT- IV INCOMPRESSIBLE FLOW PROCESSES: FINITE VOLUME METHOD

Discretization of incompressible flow equations – Stream Function – Vorticity methods – Pressure based algorithms, SIMPLE, SIMPLER, SIMPLEC & PISO algorithms.

UNIT- V TURBULENCE MODELLING

Kolmogorov’s Theory – Turbulence – Algebraic Models, One equation model & k – , k – models – Standard and High and Low Reynolds number models.

TOTAL: 60 PERIODS

COURSE OUTCOMES:

Upon completion of this course, the students will be able to:
1. Infer the fundamental governing equations and apply the boundary conditions to arrive at the unknown variables.
2. Solve the diffusion heat transfer problems by finite volume method.
3. Formulate the convection-diffusion heat transfer problems by finite volume method.
4. Interpret the incompressible flow governing equations by applying various pressure velocity decoupling algorithms.
5. Construct various turbulence models available.

REFERENCES:

1. Versteeg and Malalasekera, N, “An Introduction to computational Fluid Dynamics The Finite Volume Method,” Pearson Education, Ltd., Second Edition,2014.
2. Anderson,D.A., Tannehill,J.I., and Pletcher,R.H., “Computational fluid Mechanics and Heat Transfer“ Hemisphere Publishing Corporation,NewYork,USA,1984
3. Suhas, V. Patankar, “Numerical heat transfer fluid flow”, Hemisphere Publishing Corporation,1980.
4. TapanK.Sengupta,“FundamentalsofComputationalFluidDynamics”UniversitiesPress, 2011.
5. Muralidhar,K., and Sundararajan,T., “Computational Fluid Flow and Heat Transfer”, Narosa Publishing House, New Delhi,1995.