Dr P. Ravinder Reddy_ FET_Unit 4_Heat_Transfer Analysis _1.pdf

Mass Moment of Inertia

1. APPLICATIONS OF FINITE ELEMENT METHOD IN
HEAT TRANSFER ANALYSIS
Dr P. RavinderReddy
Professor, Dept. of Mechanical Engineering &
Principal
ChaitanyaBharathiInstitute of Technology
Hyderabad-75, [email protected]

2. Introduction
•Temperature distribution within a body is an important aspect which is
necessary for the design of Heat Transfer Equipment. The quantity of heat
moving into or being removed from a body can be calculated once the
temperature distribution is known.
•The temperature distribution is not only important in equipments like heat
exchangers, boilers, condensers, heaters etc., but also influences the stress
distribution in a structure. Thermal stresses occur in any system that
experiences a temperature gradient from some equilibrium state and that is
not free to expand in all directions.
•These thermal stresses are important design considerations in many
equipments. The initial step in evaluating thermal stresses is to determine the
temperature distribution within the body or structure.
•Our objective in the present study is to understand the concept of Finite
Element Method in determining the temperature distribution within a
conducting body. The analysis is limited to heat conduction problems.

3. The striking feature of scalar field problems is that
they are to be found in almost all branches of
engineering and physics. Most of them can be
regarded as special forms of the general Helmholtz
equation, given by

10. Steps in Process
1.Discretizeand Select Element Type
2.Select a Temperature Function
3.Define Temperature gradient and Flux gradient
Relationships
4.Derive Element Characteristics Matrix & Eqs.
5.Derive Element Load Matrix &Eqs.
6.Assemble Equations and Introduce B.C.’s
7.Solve for the Unknown Temperature
8.Solve for Temperature gradients and Flux gradients
9.Interpret the Results

40. Using two elements

42. After solving

45. 2D Triangular Elements