AS4072 Computational Heat Transfer Syllabus:

AS4072 Computational Heat Transfer Syllabus – Anna University PG Syllabus Regulation 2021

COURSE OBJECTIVES:

This course will enable students
1. To get insights into the basic aspects of various discretization methods.
2. To provide basic ideas on the types of PDE’s and its boundary conditions to arrive at its solution.
3. To impart knowledge on solving conductive, transient conductive and convective problems using computational methods.
4. To solve radiative heat transfer problems using computational methods.
5. To provide a platform for students in developing numerical codes for solving heat transfer problems.

UNIT I INTRODUCTION

Finite Difference Method-Introduction-Taylor’s series expansion-Discretization Methods Forward, backward and central differencing scheme for first order and second order Derivatives – Types of partial differential equations-Types of errors-Solution to algebraic equation-Direct Method and Indirect Method-Types of boundary condition-FDM – FEM – FVM.

UNIT II CONDUCTIVE HEAT TRANSFER

General 3D-heat conduction equation in Cartesian, cylindrical and spherical coordinates.
Computation (FDM) of One –dimensional steady state heat conduction –with Heat generationwithout Heat generation- 2D-heat conduction problem with different boundary conditionsNumerical treatment for extended surfaces- Numerical treatment for 3D- Heat conductionNumerical treatment to 1D-steady heat conduction using FEM.

UNIT III TRANSIENT HEAT CONDUCTION

Introduction to Implicit, explicit Schemes and crank-Nicolson Schemes Computation(FDM) of One– dimensional un-steady heat conduction –with heat Generation-without Heat generation – 2D-transient heat conduction problem with different boundary conditions using Implicit, explicit Schemes-Importance of Courant number- Analysis for I-D,2-D transient heat Conduction problems.

UNIT IV CONVECTIVE HEAT TRANSFER

Convection- Numerical treatment (FDM) of steady and unsteady 1-D and 2-d heat convection diffusion steady-unsteady problems- Computation of thermal and Velocity boundary layer flows. Upwind scheme-Stream function-vorticity approach-Creeping flow.

UNIT V RADIATIVE HEAT TRANSFER

Radiation fundamentals-Shape factor calculation-Radiosity method- Absorption Method – Montacalro method-Introduction to Finite Volume Method- Numerical treatment of radiation enclosures using finite Volume method. Developing a numerical code for 1D, 2D heat transfer problems.

TOTAL: 45 PERIODS

COURSE OUTCOMES:

Upon completion of this course, Students will
CO1: Have an Idea about discretization methodologies for solving heat transfer problems.
CO2: Be able to solve 2-D conduction and convection problems.
CO3: Have an ability to develop solutions for transient heat conduction in simple geometries.
CO4: Be capable of arriving at numerical solutions for conduction and radiation heat transfer problems.
CO5: Have knowledge on developing numerical codes for practical engineering heat transfer problems.

REFERENCES:

1. Chung,TJ, “Computational Fluid Dynamics”, Cambridge University Press, 2002.
2. Holman,JP, “Heat Transfer”, McGraw-Hill Book Co, Inc., McGraw-Hill College; 10thedition, 2017.
3. John D. Anderson, “Computational Fluid Dynamics”, McGraw Hill Education, 2017.
4. John H. Lienhard, “A Heat Transfer”, Text Book, Dover Publications, 5th edition, 2020.
5. Richard H. Pletcher, John C. Tannehill & Dale Anderson, “Computational Fluid Mechanics and Heat Transfer”, 4th edition, CRC Press, 2021
6. Sachdeva,SC, “Fundamentals of Engineering Heat & Mass Transfer”, New age publisher, 4th edition Internationals, 2017.