Fouad. S. Ibrahim, Mohammad. A. Mansour, Mohammad A. A. Hamad
Abstract:
In this paper, we discuss similarity reductions for problems of
radiative and magnetic field effects on free-convection and
mass-transfer flow past a semi-infinite vertical flat plate.
Two cases are considered: Lie group analysis applied to
uniform magnetic fields, and Scaling transformations applied to
non-uniform magnetic fields.
In particular, we determine new similarity reductions and find
an analytical solution for the uniform magnetic
field, by using Lie group method.
Numerical results are presented and discussed for various values
of the parameters governing the problem.
Submitted January 10, 2005. Published April 5, 2005.
Math Subject Classifications: 35Q35, 35Q30, 76S05, 76W05.
Key Words: Lie group analysis; boundary value problems;
radiation; heat transfer.
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Fouad S. Ibrahim Mathematics Department Assiut University, Assiut 71516, Egypt email: fibrahim@aun.edu.eg |
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| Mohammad A. Mansour Mathematics Department Assiut University, Assiut 71516, Egypt email: m_mansour1965@yahoo.com | |
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Mohammad A. A. Hamad Mathematics Department Assiut University, Assiut 71516, Egypt email: m_hamad@aun.edu.eg |
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