Abstract
An analysis is made for a conjugate heat transfer problem with thermally developing laminar pipe flow, involving two-dimensional wall and axial fluid conduction. The problem is solved numerically by a finite-difference method for a thick walled, two-regional pipe which has constant outside surface temperatures interfaced by a step change. An exact profile is used to discretize the differential equation in the fluid region, and the method exhibited a simple and fast tool to solve this highly complicated problem. The effects of the three defining parameters, the Péclet number, thickness ratio and wall-to-fluid conductivity ratio, are investigated, and it is observed that the most significant of these parameters is the Péclet number, in its effective range ( Pe ⩽ 20).
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