Abstract
Abstract
An enduring challenge in the field of fluid mechanics and heat transfer has been to predict the response of a thermally conducting duct to transients in the flowing fluid. A coordinate transformation coupled with a change of dependent variable reduces a daunting exercise in Laplace transformation and Bessel functions to elementary numerical quadrature. The simplification makes it possible to advance beyond the canonical statement of the problem to variable particle velocity and variable pressure. The heat transfer coefficient and friction factor may vary in function of local instantaneous Reynolds number with negligible penalty on algebraic complexity.
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