Abstract
In this study the boundary integral equation (BIE) formulation is developed for predicting the heat transfer in situations where heat is exchanged between fluids separated by a finned interface. With the BIE formulation discretization for numerical purposes occurs only on the boundary of the relevant domain and thus a considerable reduction in the computational storage and time requirements is achieved in comparison with other equivalent numerical techniques. The flexibility and conceptual simplicity of the BIE method enable quite general linear boundary conditions to be accommodated without difficulty. In particular, the BIE method can easily handle problems for which the fins and the supporting surface have different thermal conductivities. It is shown in this study that the classical BIE method, which employs a relatively crude piecewise-constant approximation, gives an effective treatment even when comparable finite-difference and finite-element implementations fail to provide a satisfactory solution....
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