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

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

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Title: On thermal boundary layers on a flat plate subjected to a variable heat flux
Author: Shu, Jian Jun; Pop, I.
Copyright year: 1998
Abstract: The problem of a steady forced convection thermal boundary-layer past a flat plate with a prescribed surface heat flux proportional to (1+x2)^m (m a constant) is investigated both analytically and numerically. In view of the present formulation, the governing equations reduce to the well-known Blasius similarity equation and to the full boundary-layer energy equation with two parameters: the wall flux exponent m and Prandtl number Pr. The range of existence of solutions is considered, it being shown that solutions for both x small and x large exist only for m>−1/2. However, for m−1/2 the asymptotic structure for x large is found to be different for m<−1/2 and m=−1/2, respectively. These asymptotic solutions for large x are derived and compared with 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.
Subject: DRNTU::Engineering::Mechanical engineering::Fluid mechanics.
Type: Journal Article
Series/ Journal Title: International journal of heat and fluid flow
School: School of Mechanical and Aerospace Engineering
Rights: © 1998 Elsevier. This is the author created version of a work that has been peer reviewed and accepted for publication by International Journal of Heat and Fluid Flow, Elsevier. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [DOI: http://dx.doi.org/10.1016/s0142-727x(97)10026-1].
Version: Accepted version

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