FEA in Heat Transfer

MTD2001: FINITE ELEMENT ANALYSIS FOR HEAT TRANSFER 3-0-03

Structure of the Course
Lecture: 3 hrs/ Week Credits: 3
Internal Continuous Assessment: 40 Marks
End Semester Examination: 60 Marks
Course Objectives
To impart an awareness regarding various types of equations and their methods
of solving
To analyse a given situation to find out the temperature profiles and rate of heat
transfer
Learning Outcomes
The students will be capable of analyzing theoretically any heat transfer
problems by using FEM
Module I
Review of the fundamentals of the three modes of heat transfer. Governing
differential equations. Initial and boundary conditions.
Review of the numerical techniques for the solution of matrix equations.
Basic concepts of Finite Element method. Mesh generation - Types of elements,
Node numbering scheme. Interpolation polynomials. Finite element equations
and
element characteristic matrices. Variational approach, Galerkin approach.
Assembly of element matrices. Solution of finite element system of equations.
Module II
Steps involved in a thermal analysis. Analysis of linear and nonlinear conduction
problems in steady and transient hea t transfer.1D, 2D and 3D analysis with
simple examples. Axisymmetric heat transfer. Finite element solution in the time
domain.
Effects of convection in heat transfer- advection-diffusion. Analysis of heat
transfer problems with radiation.
Module III
Concepts of adaptive heat transfer analysis. Implementation of the adaptive
procedure.
Computer programming and implementation of FEM. Introduction to general
purpose FEM
packages.