## CME368 Syllabus - Computational Fluid Dynamics And Heat Transfer - 2021 Regulation Anna University

CME368

COMPUTATIONAL FLUID DYNAMICS AND HEAT TRANSFER

L T P C

3003

COURSE OBJECTIVES:
1 To study the fluid flow simulation techniques and its mathematical behaviour
2 To learn the Discretise 1D and 2D systems using finite difference and finite volume techniques
3 To Formulate diffusion –convection problems using finite volume method
4 To study the flow field for different types of grids
5 To learn the need for turbulence models and its types

UNIT I

INTRODUCTION

9

Basics of Computational Fluid Dynamics – Governing equations– Continuity, Momentum and Energy equations – Boundary conditions & Types– Time-averaged equations for Turbulent Flow – Classification and Mathematical behaviour of PDEs on CFD - Elliptic, Parabolic and Hyperbolic equations, comparison between Analytical, Experimental and Numerical techniques, Techniques of Discretisation and Numerical errors

UNIT II

FINITE DIFFERENCE AND FINITE VOLUME METHODS FOR DIFFUSION

9

Derivation of finite difference equations– General Methods for first and second order accuracy – Finite volume formulation for steady and transient diffusion 1D and 2D problems – Use of Finite Difference and Finite Volume methods, Accuracy of solution, optimum step-size, Euler, Crank-Nickolson, and pure implicit methods, stability of schemes.

UNIT III

FINITE VOLUME METHOD FOR CONVECTION DIFFUSION

9

Steady one-dimensional convection and diffusion – Central, upwind differencing schemes, properties of discretization schemes, Hybrid, Power-law, QUICK Schemes, Computation of Boundary layer flow, von Neumann stability analysis.

UNIT IV

FLOW FIELD ANALYSIS

9

Stream function and vorticity, Representation of the pressure gradient term, Staggered grid – Momentum equations, Pressure and Velocity corrections – Pressure Correction equation, SIMPLE algorithm and its variants – PISO Algorithms, Computation of internal and external thermal boundary layer.

UNIT V

TURBULENCE MODELLING

9

Turbulence model requirement and types, mixing length model, Two equation (k-Є) models – High and low Reynolds number models, LES, DNS, Mesh Generation and refinement Techniques-software tools, Stability of solver, Courant Fredrick Levy number, relaxation factor, and grid independence test.

TOTAL: 45 PERIODS

OUTCOMES: At the end of the course the students would be able to
1. Apply the fundamentals of CFD, and develop case specific governing equations.
2. Discuss finite difference and finite volume based analysis for steady and transient diffusion problems.
3. Implement various mathematical schemes under finite volume method for convention diffusion.
4. Solve complex problems in the field of fluid flow and heat transfer with the support of high speed computers.
5. Apply the various discretization methods, solution procedure and the concept of turbulence modelling.

TEXT BOOKS:
1. Versteeg, H.K., and Malalasekera, W.,”An Introduction to Computational Fluid Dynamics”: The finite volume Method, Pearson Education, 2014 .
2. Ghoshdastidar, P.S., “Computational Fluid Dynamics and Heat Transfer”, Cengage Learning, 2017.

REFERENCES:
1. John. F. Wendt, “Computational Fluid Dynamics – An Introduction”, Springer, 2013.
2. K. Muralidhar & T.Sundararajan, Computational Fluid Flow and Heat Transfer, Narora Publishing House, 1994.
3. Suhas V, Patankar, “Numerical Heat transfer and Fluid flow”, Taylor & Francis, 2009.
4. Uriel Frisch, Turbulence, Cambridge University Press, 1999.
5. Yogesh Jaluria & Kenneth E. Torrance, “Computational Heat Transfer”, CRC press, 2002.