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Group solution for unsteady free-convection flow from a vertical moving plate subjected to constant heat flux
Faculty
Science
Year:
2006
Type of Publication:
Article
Pages:
72-86
Authors:
Kassem, M
DOI:
10.1016/j.cam.2005.03.037
Journal:
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS ELSEVIER SCIENCE BV
Volume:
187
Research Area:
Mathematics
ISSN
ISI:000233320800005
Keywords :
free convective flow, group theoretic method, thermal boundary layer, Prandtl number
Abstract:
The problem of heat and mass transfer in an unsteady free-convection flow over a continuous moving vertical sheet in an ambient fluid is investigated for constant heat flux using the group theoretical method. The nonlinear coupled partial differential equation governing the flow and the boundary conditions are transformed to a system of ordinary differential equations with appropriate boundary conditions. The obtained ordinary differential equations are solved numerically using the shooting method. The effect of Prandlt number on the velocity and temperature of the boundary-layer is plotted in curves. A comparison with previous work is presented. (c) 2005 Elsevier B.V. All rights reserved.
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