An effective approach to the solution of twodimensional heat conduction problems for multiplyconnected composites of complex configuration
Abstract
The algorithm proposed for solving twodimensional heat conduction problems for multilayer strips with arbitrarily shaped holes is based on an integral (potential) representations of the required functions in elliptic differential equations. The kernels in these representations are Green's functions (Green's matrices, for composite regions) of differential operators corresponding to regions without holes. The Green's functions (matrices) are obtained by separation of variables with subsequent variation of the arbitrary constants. This approach reduces the dimensionality of a problem and also facilitates transition to integral equations. Example applications of the algorithm are presented. A computer time of 5 to 10 min is required for calculating a steady temperature field.
 Publication:

Inzhenerno Fizicheskii Zhurnal
 Pub Date:
 January 1976
 Bibcode:
 1976InFiZ..30..152M
 Keywords:

 Boundary Value Problems;
 Composite Structures;
 Conductive Heat Transfer;
 Potential Theory;
 Algorithms;
 Elliptic Differential Equations;
 Green'S Functions;
 Integral Equations;
 Matrices (Mathematics);
 Fluid Mechanics and Heat Transfer