Lie-Group analysis of radiative and magnetic field effects on free convection and mass transfer flow past a semi-infinite vertical flat plate
Date
2005-04-05
Authors
Ibrahim, Fouad S.
Mansour, Mohammad A.
Hamad, Mohammad A. A.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Lie group analysis, Boundary value problems, Radiation, Heat transfer
Citation
Ibrahim, F. S., Mansour, M. A., & Hamad, M. A. A. (2005). Lie-Group analysis of radiative and magnetic field effects on free convection and mass transfer flow past a semi-infinite vertical flat plate. <i>Electronic Journal of Differential Equations, 2005</i>(39), pp. 1-17.
Rights
Attribution 4.0 International