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Group solution of a time dependent chemical convective process
Faculty
Science
Year:
2009
Type of Publication:
Article
Pages:
1671-1684
Authors:
Kassem, M. M, Rashed, A. S
DOI:
10.1016/j.amc.2009.07.018
Journal:
APPLIED MATHEMATICS AND COMPUTATION ELSEVIER SCIENCE INC
Volume:
215
Research Area:
Mathematics
ISSN
ISI:000270873300004
Keywords :
Time dependent chemical convection, Group transformation method, Perturbation method
Abstract:
The time dependent progress of a chemical reaction over a. at vertical plate is here considered. The problem is solved using the two parameter group method which reduces the number of independent by one and leads to a set of nonlinear ordinary differential equation. The behavior of the process is numerically investigated for the chemical reaction order n not equal 1 and different Schmidt numbers. As the problem shows a singularity at n = 1, the nonlinear system of ordinary differential equation resulting from the transformation of the problem are analytically solved through the perturbation method. The velocity and concentration of chemicals based on the analytical and numerical solutions are presented, compared and discussed. (C) 2009 Elsevier Inc. All rights reserved.
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