Abstract
Consideration is given to the problem of convective heat transfer in slow diffuser flows in coaxial annular conical channels of constant width. A solution for thermal boundary conditions of the first kind is obtained by the method of separation of variables. The dependence of the temperature on the coordinates is represented in the form of a sum of two infinite series in confluent hypergeometric functions of the transverse coordinate that are multiplied by an exponential dependence on the longitudinal coordinate. The solution is of interest due to its being a superposition of two solutions, each having its own eigenfunctions and eigenvalues. Relations for evaluation of the initial thermal portion in the considered flows are also given.
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Ul'ev, L.M. Laminar Heat Transfer in Diffuser Flow in a Coaxial Conical Channel in the Case of Boundary Conditions of the First Kind. Journal of Engineering Physics and Thermophysics 74, 26–34 (2001). https://doi.org/10.1023/A:1016613617885
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DOI: https://doi.org/10.1023/A:1016613617885