Summary
The similarity equations for combined forced and free convection flow over a horizontal plate when the wall temperature is inversely proportional to the square root of the distance from the leading edge are solved by introducing a scaling similar to that for the Blasius equation. The technique is also applied to the local similarity equations for the case of a constant wall temperature.
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de Hoog, F.R., Laminger, B. & Weiss, R. A numerical study of similarity solutions for combined forced and free convection. Acta Mechanica 51, 139–149 (1984). https://doi.org/10.1007/BF01177068
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DOI: https://doi.org/10.1007/BF01177068