scholarly journals Comments on "Lie group analysis of natural convection heat and mass transfer in an inclined surface"

2010 ◽  
Vol 15 (4) ◽  
pp. 435-436
Author(s):  
M. Jalil ◽  
S. Asghar
Keyword(s):  
Mass Transfer ◽  
Natural Convection ◽  
Heat And Mass Transfer ◽  
Lie Group ◽  
Group Analysis ◽  
Lie Group Analysis ◽  
Convection Heat ◽  
Inclined Surface

  

scholarly journals Lie group analysis for the effect of viscosity and thermophoresis particle deposition on free convective heat and mass transfer in the presence of suction/injection

2009 ◽  
Vol 36 (4) ◽  
pp. 275-298 ◽  
Author(s):  
Prabhu Sivagnana ◽  
R. Kandasamy ◽  
R. Saravanan
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Lie Group ◽  
Particle Deposition ◽  
Group Analysis ◽  
Fluid Viscosity ◽  
Lie Group Analysis ◽  
Temperature Dependent ◽  
Special Cases ◽  
Thermophoresis Particle Deposition

An analysis has been carried out to study heat and mass transfer characteristics of an incompressible and Newtonian fluid having temperature-dependent fluid viscosity and thermophoresis particle deposition over a vertical stretching surface with variable stream condition. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The vertical surface is assumed to be permeable so as to allow for possible wall suction or injection. The governing differential equations are derived and transformed using Lie group analysis. The transformed equations are solved numerically by applying Runge-Kutta Gill scheme with shooting technique. Favorable comparisons with previously published work on various special cases of the problem are obtained. Numerical results for the velocity, temperature and concentration profiles for a prescribed temperature-dependent fluid viscosity and thermophoresis particle deposition parameters are presented graphically to elucidate the influence of the various physical parameters.

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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