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Group analysis for natural convection from a vertical plate
Faculty
Science
Year:
2008
Type of Publication:
Article
Pages:
392-403
Authors:
Kassem, M. M, Rashed, A. S
DOI:
10.1016/j.cam.2007.11.010
Journal:
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS ELSEVIER SCIENCE BV
Volume:
222
Research Area:
Mathematics
ISSN
ISI:000261019800013
Keywords :
Chemical diffusion, Natural convection, Group method, Schmidt number
Abstract:
The steady laminar natural convection of a fluid having chemical reaction of order n past a semi-infinite vertical plate is considered. The solution of the problem by means of one-parameter group method reduces the number of independent variables by one leading to a system of nonlinear ordinary differential equations. Two different similarity transformations are found. In each case the set of differential equations are solved numerically using Runge-Kutta and the shooting method. For each transformation different Schmidt numbers and chemical reaction orders are tested. (c) 2007 Elsevier B.V. All rights reserved.
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