Geodesic
Lie-group analysis of radiative and magnetic field effects on free convection and mass transfer flow past a semi-infinite vertical flat plate
Electronic journal of differential equations, Tome 2005 (2005)
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.
Classification : 35Q35, 35Q30, 76S05, 76W05
Keywords: Lie group analysis, boundary value problems, radiation, heat transfer 
@article{EJDE_2005__2005__a45,
     author = {Ibrahim,  Fouad.S. and Mansour,  Mohammad.A. and Hamad,  Mohammad A.A.},
     title = {Lie-group analysis of radiative and magnetic field effects on free convection and mass transfer flow past a semi-infinite vertical flat plate},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1070.35033},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a45/}
}
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%A Hamad,  Mohammad A.A.
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%J Electronic journal of differential equations
%D 2005
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%F EJDE_2005__2005__a45
Ibrahim,  Fouad.S.; Mansour,  Mohammad.A.; Hamad,  Mohammad A.A. Lie-group analysis of radiative and magnetic field effects on free convection and mass transfer flow past a semi-infinite vertical flat plate. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a45/