A finite element thermal analysis procedure for several temperaturedependent parameters
Abstract
A finiteelement thermal analysis procedure for elements with several temperaturedependent thermal parameters is presented. The procedure, based on an application of the NewtonRaphson iteration technique, is formulated by resolving element matrices into component matrices, one component for each thermal parameter. Component conductance matrices are evaluated by assuming constant thermal parameters within an element and are computed once per unit thermal parameter. Significant savings in computer time result from the unit thermal parameter concept. The solution procedure applied to a convectively cooled structure with significantly varying thermal parameters converged in four iterations.
 Publication:

ASME Journal of Heat Transfer
 Pub Date:
 August 1978
 Bibcode:
 1978ATJHT.100..551T
 Keywords:

 Conductive Heat Transfer;
 Finite Element Method;
 Forced Convection;
 NewtonRaphson Method;
 Iterative Solution;
 Matrices (Mathematics);
 Steady State;
 Supersonic Combustion Ramjet Engines;
 Fluid Mechanics and Heat Transfer