scholarly journals Lie Group Analysis for the Effects of Variable Fluid Viscosity and Thermal Radiation on Free Convective Heat and Mass Transfer with Variable Stream Condition

Engineering ◽  
2010 ◽  
Vol 02 (08) ◽  
pp. 625-634 ◽  
Author(s):  
P. Loganathan ◽  
P. Puvi Arasu
Keyword(s):  
Mass Transfer ◽  
Thermal Radiation ◽  
Heat And Mass Transfer ◽  
Convective Heat ◽  
Lie Group ◽  
Group Analysis ◽  
Fluid Viscosity ◽  
Lie Group Analysis ◽  
Stream Condition

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 Lie Group Analysis of Natural Convective Flow from a Convectively Heated Upward Facing Radiating Permeable Horizontal Plate in Porous Media Filled with Nanofluid

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
Md. Jashim Uddin ◽  
W. A. Khan ◽  
A. I. Md. Ismail
Keyword(s):  
Mass Transfer ◽  
Brownian Motion ◽  
Heat And Mass Transfer ◽  
Lie Group ◽  
Convective Flow ◽  
Group Analysis ◽  
Lie Group Analysis ◽  
Horizontal Plate ◽  
Transfer Rates ◽  
Special Cases

Two-dimensional, steady, laminar and incompressible natural convective flow of a nanofluid over a connectively heated permeable upward facing radiating horizontal plate in porous medium is studied numerically. The present model incorporates Brownian motion and thermophoresis effects. The similarity transformations for the governing equations are developed by Lie group analysis. The transformed equations are solved numerically by Runge-Kutta-Fehlberg fourth-fifth order method with shooting technique. Effects of the governing parameters on the dimensionless velocity, temperature and nanoparticle volume fraction as well as on the dimensionless rate of heat and mass transfer are presented graphically and the results are compared with the published data for special cases. Good agreement is found between numerical results of the present paper and published results. It is found that Lewis number, Brownian motion and convective heat transfer parameters increase the heat and mass transfer rates whilst thermophoresis decreases both heat and mass transfer rates.

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