On Some Laminar Forced-Convection Problems

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Abstract
The forced-connection problems in channels of fully developed laminar flow with heat sources and constant wall-temperature gradient are approached by the method of complex variables. It is shown that the stated problems are reduced to the determination of some analytic functions which satisfy the boundary conditions. Few basic problems, including flows in equilateral triangular ducts and in elliptical tubes, are studied. Also, it is shown that the cases of circular tubes and of parallel plates with a gap are directly deducible from that of elliptical tubes. All these solutions are expressed in closed forms by polynomials.

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