Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 39, pp. 1-17.

Title: Lie-Group analysis of radiative and magnetic field 
       effects on free convection and mass transfer flow 
       past a semi-infinite vertical flat plate

Authors: Fouad. S. Ibrahim  (Assiut Univ. Egypt)
         Mohammad. A. Mansour (Assiut Univ. Egypt)
	 Mohammad A. A. Hamad (Assiut Univ. Egypt)
 
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.