Lie group analysis of radiation natural convection heat transfer past an inclined porous surface

2008 ◽  
Vol 22 (9) ◽  
pp. 1779-1784 ◽  
Author(s):  
J. Lee ◽  
P. Kandaswamy ◽  
M. Bhuvaneswari ◽  
S. Sivasankaran
Keyword(s):  
Heat Transfer ◽  
Natural Convection ◽  
Lie Group ◽  
Group Analysis ◽  
Convection Heat Transfer ◽  
Porous Surface ◽  
Natural Convection Heat Transfer ◽  
Lie Group Analysis ◽  
Convection Heat

Lie Group Analysis of Natural Convection Heat and Mass Transfer in an Inclined Surface

2006 ◽  
Vol 11 (2) ◽  
pp. 201-212 ◽  
Author(s):  
S. Sivasankaran ◽  
M. Bhuvaneswari ◽  
P. Kandaswamy ◽  
E. K. Ramasami
Keyword(s):  
Natural Convection ◽  
Differential Equations ◽  
Lie Group ◽  
Numerical Solutions ◽  
Group Analysis ◽  
Convection Heat Transfer ◽  
Solute Concentration ◽  
Heat Transfer Fluid ◽  
Lie Group Analysis ◽  
Convection Heat

Natural convection heat transfer fluid flow past an inclined semiinfinite surface in the presence of solute concentration is investigated by Lie group analysis. The governing partial differential equations are reduced to a system of ordinary differential equations by the translation and scaling symmetries. An exact solution is obtained for translation symmetry and numerical solutions for scaling symmetry. It is found that the velocity increases and temperature and concentration of the fluid decrease with an increase in the thermal and solutal Grashof numbers. The velocity and concentration of the fluid decrease and temperature increases with increase in the Schmidt number.

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