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Free convection from a horizontal moving sheet
Authors:Prof. Dr. I. Pop  Dr. B. Yan  Prof. Dr. D. B. Ingham
Affiliation:1. Faculty of Mathematics, University of Cluj, R-3400, Cluj, Romania
2. School of Mathematics, University of East Anglia, NR4 7TJ, Norwich, England
3. Department of Applied Mathematical Studies, University of Leeds, LS2 9JT, Leeds, England
Abstract:In this paper the free convection flow through a thin rigid hot sheet moving horizontally out of a slot is considered. It is found that there is a similarity formulation of the boundary-layer equations so that the problem reduces to solving a system of coupled ordinary differential equations with suitable boundary conditions. This system of equations is solved numerically for various values of the Prandtl number,Pr, namely 0.45≤Pr≤10000. It is found that for the flow under the sheet there is a reverse flow region near the sheet for small values ofPr, whilst in the case of the flow above the sheet there is no reverse flow region for any value ofPr we have investigated. For the flow under the sheet an asymptotic behaviour, which is valid near the minimum value of the Prandtl number for which it is possible to obtain a numerical solution, is proposed.
Keywords:
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