Lie group analysis for thermal-diffusion and diffusion-thermo effects on free convective flow over a porous stretching surface with variable stream conditions in the presence of thermophoresis particle deposition

2011 ◽  
Vol 5 (1) ◽  
pp. 20-31 ◽  
Author(s):  
P. Puvi Arasu ◽  
P. Loganathan ◽  
R. Kandasamy ◽  
I. Muhaimin
Keyword(s):  
Lie Group ◽  
Convective Flow ◽  
Particle Deposition ◽  
Group Analysis ◽  
Lie Group Analysis ◽  
Stretching Surface ◽  
Free Convective Flow ◽  
Thermophoresis Particle Deposition ◽  
And Diffusion ◽  
Porous Stretching 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.

scholarly journals Two parameters Lie group analysis and numerical solution of unsteady free convective flow of non-Newtonian fluid

2016 ◽  
Vol 55 (3) ◽  
pp. 2299-2308 ◽  
Author(s):  
M.J. Uddin ◽  
M.M. Rashidi ◽  
Hamed H. Alsulami ◽  
S. Abbasbandy ◽  
N. Freidoonimeh
Keyword(s):  
Numerical Solution ◽  
Newtonian Fluid ◽  
Lie Group ◽  
Convective Flow ◽  
Group Analysis ◽  
Lie Group Analysis ◽  
Free Convective Flow ◽  
Two Parameters
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