Calculation of stationary heat flow through a hole in a flat wall
Abstract
Stationary heat flow through a hole in a thermally insulated diaphragm is examined on the basis of the Laplace equation in the plane domain. Integral equations (similar to those of elasticity theory) are used to determine the width of the hole for the case of a thin diaphragm. These equations are solved explicitly for the case of a symmetrically positioned diaphragm. Approximate solutions are obtained for the case of a small hole in a nonsymmetrical diaphragm, and also for a thick diaphragm using conformal mapping.
 Publication:

Boundary Value Problems of the Theory of Heat Conduction
 Pub Date:
 1975
 Bibcode:
 1975bvpt.proc...57B
 Keywords:

 Diaphragms (Mechanics);
 Heat Transmission;
 Laplace Equation;
 Wall Flow;
 Analytic Functions;
 Boundary Value Problems;
 Conformal Mapping;
 Differential Equations;
 Harmonic Functions;
 Integral Equations;
 Fluid Mechanics and Heat Transfer