CAE332 Computational Heat Transfer Syllabus:

CAE332 Computational Heat Transfer Syllabus – Anna University Regulation 2021

COURSE OBJECTIVES:

Of this course are
• To impart knowledge to students in the fundamental principles of various numerical methods which are useful to obtain numerical solutions to heat transfer problems.
• To make the students learn numerical methods to obtain solution to 1-D, 2-D and 3-D conductive heat transfer problems.
• To introduce both implicit and explicit methods for numerical solution of transient heat conduction problems to students.
• To make the students familiarize with the numerical treatment of convective heat transfer problems to compute velocity and temperature profiles in boundary problems.
• To acquaint students with the use of finite volume method in radiative 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 generation-without Heat generation- 2D-heat conduction problem with different boundary conditions-Numerical treatment for extended surfaces. Numerical treatment for 3D- Heat conduction. Numerical 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 be able to
CO1:Acquire knowledge on the basic concepts on the applications of numerical methods for the heat transfer problem solutions.
CO2:Appreciate the role of boundary conditions in defining the complexities and the methodology for numerical solutions of heat transfer problems.
CO3:Use both implicit and explicit schemes for transient heat conduction problems.
CO4:Compute the temperature profiles in thermal boundary layer.
CO5:Apply finite volume methods for radiative heat transfer problems and the role of Montecarlo methods in radiative heat transfer.

TEXT BOOKS:

1. Sachdeva,S.C., Fundamentals of Engineering Heat and Mass Transfer, NEW AGE publishers,2010.
2. Yunus A. Cengel, Heat Transfer – A Practical Approach Tata McGraw Hill 4thEdition, 2009.

REFERENCES:

1. NecatiOzisik, Finite Difference Method in Heat Transfer, CRC Press, 2nd edition, 2017.
2. YogeshJaluria, Kenneth E Torrence, Computational Heat transfer, CRC Press, 3rd Edition, 2017.
3. Pradip Majumdar, Computational Methods for Heat & Mass Transfer, CRC Press, 2005.