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Similarity solutions for unsteady free-convection flow from a continuous moving vertical surface
Faculty
Science
Year:
2004
Type of Publication:
Article
Pages:
11-24
Authors:
Abd-el-Malek, MB, Kassem, MM, Mekky, ML
DOI:
10.1016/S0377-0427(03)00638-1
Journal:
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS ELSEVIER SCIENCE BV
Volume:
164
Research Area:
Mathematics
ISSN
ISI:000220099900003
Keywords :
free convection flow, group theoretic method, thermal boundary layer, Prandtl number
Abstract:
The transformation group theoretic approach is applied to present an analysis of the problem of unsteady free convection flow over a continuous moving vertical sheet in an ambient fluid. The thermal boundary layer induced within a vertical semi-infinite layer of Boussinseq fluid by a constant heated bounding plate. The application of two-parameter groups reduces the number of independent variables by two, and consequently the system of governing partial differential equations with the boundary conditions reduces to a system of ordinary differential equations with appropriate boundary conditions. The obtained ordinary differential equations are solved analytically for the temperature and numerically for the velocity using the shooting method. Effect of Prandtl number on the thermal boundary-layer and velocity boundary-layer are studied and plotted in curves. (C) 2003 Elsevier B.V. All rights reserved.
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