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arXiv · 1403.3233

On thermal boundary layers on a flat plate subjected to a variable heat flux

Jian-Jun Shu·Ioan Pop
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Abstract

The problem of a steady forced convection thermal boundary-layer past a flat plate with a prescribed surface heat flux is investigated both analytically and numerically. In view of the present formulation, the governing equations reduce to the well-know Blasius similarity equation and to the full boundary-layer energy equation with two parameters: Prandtl number and surface heat flux parameter. The range of existence of solutions is considered. The asymptotic solutions are derived and compared with the numerical solutions of the full boundary-layer equation. A very good agreement between these asymptotic solutions and numerical simulations are found in the range of Prandtl numbers considered.

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Jian-Jun Shu, Ioan Pop. 2014-03-13. On thermal boundary layers on a flat plate subjected to a variable heat flux. https://doi.org/10.1016/s0142-727x(97)10026-1

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