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.

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.

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

scholarly journals Chemical reaction and radiation effects on unsteady MHD free convection flow in a porous medium past an infinite inclined isothermal plate

2020 ◽  
Vol 1 (01) ◽  
pp. 01-10
Author(s):  
H.I. Osman ◽  
N.F.M. Omar ◽  
D. Vieru ◽  
Z. Ismail
Keyword(s):  
Porous Medium ◽  
Free Convection ◽  
Chemical Reaction ◽  
Radiation Effects ◽  
Convection Flow ◽  
Inclined Plate ◽  
Free Convection Flow ◽  
Laplace Transform Technique ◽  
Analytical Expressions ◽  
Chemical Reaction Parameter

The effect of chemical reaction on unsteady magentohydrodynamic (MHD) free convection flow in a porous medium past an infinite inclined plate has been investigated. Laplace transform technique is the method to solve the solutions for velocity, temperature and concentration fields. The analytical expressions for non-dimensional skin friction, Nusselt number and Sherwood number has been presented. The influence of various embedded parameter on velocity, temperature and concentration such as chemical reaction parameter, magnetic field and radiation has been discussed in detail. The effects of involved parameters have been discussed and the numerical results are presented graphically.

scholarly journals Magnetohydrodynamic Fluctuating Free Convection Flow of Second-Grade Fluid Flow in a Porous Medium

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Farhad Ali ◽  
Momin Khan ◽  
Madeha Gohar
Keyword(s):  
Porous Medium ◽  
Free Convection ◽  
Fluid Motion ◽  
Second Grade ◽  
Convection Flow ◽  
Stream Velocity ◽  
Parallel Plates ◽  
Free Convection Flow ◽  
Viscoelastic Parameter ◽  
Electrically Conducting

The article’s objective is to study the magnetohydrodynamic fluctuating free convection flow of incompressible electrically conducting viscoelastic fluid in a porous medium in the presence of a pressure gradient. The flow is between two parallel plates; the lower plate is at rest, while the upper plate moves with a free stream velocity U t . A uniform magnetic field of strength B0 is applied transversely to the fluid motion. The dimensional governing equations and physical initial and boundary conditions are nondimensionalized by inserting appropriate dimensionless variables. Furthermore, Lighthill’s method is used to obtain exact analytical solutions for the velocity, temperature, and concentration distributions. Finally, the influences of inserted parameters are studied through plots and discussed physically. The numerical results are calculated and presented in tabular form for skin friction. It is worth mentioning that when the viscoelastic parameter α 1 tends to zero, the obtained general solution is reduced to Newtonian fluid, which shows the validity and correctness of our obtained exact solutions.

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