scholarly journals Radiation and Magnetohydrodynamics Effects on Unsteady Free Convection Flow in a Porous Medium

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Sami Ulhaq ◽  
Ilyas Khan ◽  
Farhad Ali ◽  
Sharidan Shafie
Keyword(s):  
Porous Medium ◽  
Free Convection ◽  
Boussinesq Approximation ◽  
Convection Flow ◽  
Uniform Heat Flux ◽  
Free Convection Flow ◽  
Transform Method ◽  
Linear Partial Differential Equations ◽  
The Laplace Transform ◽  
The Mathematical Model

The unsteady MHD free convection flow near an exponentially accelerated infinite vertical plate through porous medium with uniform heat flux in the presence of thermal radiation has been considered. The mathematical model, under the usual Boussinesq approximation, was reduced to a system of coupled linear partial differential equations for velocity and temperature. Exact solutions are obtained by the Laplace transform method. The influence of pertinent parameters such as the radiation parameter, Grashof number, Prandtl number, and time on velocity, temperature, and skin friction is shown by graphs.

Second Grade Fluid for Rotating MHD of an Unsteady Free Convection Flow in a Porous Medium

2015 ◽  
Vol 362 ◽  
pp. 100-107 ◽  
Author(s):  
Z. Ismail ◽  
I. Khan ◽  
A.Q. Mohamad ◽  
S. Shafie
Keyword(s):  
Porous Medium ◽  
Free Convection ◽  
Initial Conditions ◽  
Boussinesq Approximation ◽  
Second Grade ◽  
Convection Flow ◽  
Inclined Plate ◽  
Free Convection Flow ◽  
Transform Method ◽  
The Laplace Transform

Rotating effects and magnetohydrodynamic (MHD) free convection flow of second grade fluids in a porous medium is considered in this paper. It is assumed that the bounding infinite inclined plate has ramped wall temperature with the presence of heat and mass diffusion. Based on Boussinesq approximation, the analytical expressions for dimensionless velocity, temperature and concentration are obtained by using the Laplace transform method. All the derived solutions satisfying the involved differential equations with imposed boundary and initial conditions. The influence of various parameters on the velocity has been analyzed in graphs and discussed.

Asymptotic Model of Free Convection Flow on a Vertical Surface in Porous Media with Newtonian Heating

2015 ◽  
Vol 756 ◽  
pp. 469-475
Author(s):  
Anna A. Bocharova ◽  
Irina V. Plaksina ◽  
Andrey A. Obushnyy
Keyword(s):  
Mathematical Model ◽  
Porous Media ◽  
Free Convection ◽  
Vertical Surface ◽  
Momentum Equation ◽  
Convection Flow ◽  
Asymptotic Model ◽  
Free Convection Flow ◽  
Energy Equations ◽  
The Mathematical Model

The mathematical model based on system of momentum and energy equations for free convection flow along a vertical surface in porous media under boundary conditions of the third sort is solved analytically using the method of matched asymptotic expansions. The region of validity for boundary layer model and expansions for stream function and temperature with parameter of perturbations were defined. The dependence of characteristic flow from governing dimensionless parameters and was analyzed numerically. The influence of viscous and convective terms of momentum equation in the proposed mathematical model significantly increases the rate of heat transfer on plate in porous media in comparison with Darsy flow model.

scholarly journals Unsteady Magnetohydrodynamic Free Convection Flow of a Second Grade Fluid in a Porous Medium with Ramped Wall Temperature

PLoS ONE ◽  
2014 ◽  
Vol 9 (5) ◽  
pp. e88766 ◽  
Author(s):  
Samiulhaq ◽  
Sohail Ahmad ◽  
Dumitru Vieru ◽  
Ilyas Khan ◽  
Sharidan Shafie
Keyword(s):  
Porous Medium ◽  
Free Convection ◽  
Wall Temperature ◽  
Second Grade ◽  
Convection Flow ◽  
Second Grade Fluid ◽  
Free Convection Flow ◽  
Grade Fluid
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