On thermal boundary layers on a flat plate subjected to a variable heat flux
Fluid Dynamics
2014-12-01 v2
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.
Keywords
Cite
@article{arxiv.1403.3233,
title = {On thermal boundary layers on a flat plate subjected to a variable heat flux},
author = {Jian-Jun Shu and Ioan Pop},
journal= {arXiv preprint arXiv:1403.3233},
year = {2014}
}