Applications of perturbation techniques
Abstract
Two perturbation techniques were applied to two singular perturbation problems in heat transfer to obtain uniformly valid solutions which can serve as benchmarks for finite difference and finite element techniques. In the first problem, the method of strained parameters coupled with the application of a solvability condition is used to obtain a uniform solution for the problem of unsteady heat conduction in a long nearly circular cylinder. In the second problem, the method of matched asymptotic expansion coupled with Van Dyke's matching principle is used to obtain a uniform solution for the problem of one dimensional conductionconvection heat transfer of a uniform fluid flow.
 Publication:

Computational Aspects of Heat Transfer in Structures
 Pub Date:
 1982
 Bibcode:
 1982caht.nasa..147K
 Keywords:

 Finite Difference Theory;
 Finite Element Method;
 Heat Transfer;
 Perturbation Theory;
 Problem Solving;
 Asymptotic Series;
 Boundary Layers;
 Computation;
 Cylindrical Bodies;
 Fluid Flow;
 Series Expansion;
 Fluid Mechanics and Heat Transfer