scholarly journals Dissipation Effect On A Free Convection Flow Past A Porous Vertical Plate

1970 ◽  
Vol 6 (1) ◽  
pp. 52-59
Author(s):  
Amena Ferdousi ◽  
MA Alim
Keyword(s):  
Free Convection ◽  
Vertical Plate ◽  
Numerical Study ◽  
Porous Plate ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Box Scheme ◽  
Flow Through ◽  
Implicit Finite Difference ◽  
Boundary Equations

A Numerical study on the effect of dissipation on a steady free convection flow through a porous vertical plate is made. The relevant non-leaner boundary equations are made dimensionless using specific non-dimensional variables. The corresponding non-similar partial differential equations are solved using implicit finite difference method with Keller-Box scheme. The results are then presented graphically and discussed thereafter. Keywords: porous plate; viscous dissipation; natural convection. DOI: http://dx.doi.org/10.3329/diujst.v6i1.9334 DIUJST 2011; 6(1): 52-59

State space approach to unsteady two-dimensional free convection flow through a porous medium

1994 ◽  
Vol 72 (5-6) ◽  
pp. 311-317 ◽  
Author(s):  
Magdy A. Ezzat
Keyword(s):  
Porous Medium ◽  
Free Convection ◽  
Laplace Transform ◽  
State Space ◽  
Broad Class ◽  
Porous Plate ◽  
Convection Flow ◽  
Two Dimensional ◽  
Free Convection Flow ◽  
Flow Through

The equations of magnetohydrodynamic unsteady two-dimensional free convection flow through a porous medium bounded by an infinite vertical porous plate are cast into matrix form using the state space and Laplace-transform techniques. The results obtained can be used to generate solutions in the Laplace-transform domain to a broad class of problems in magnetohydrodynamic free convection flow. The technique is applied to a heated vertical plate problem and to a problem pertaining to a plate under uniform heating. The inversion of the Laplace-transforms is carried out using a numerical approach. Numerical results for the temperature, velocity, and skin friction distributions are given and illustrated graphically for both problems.

scholarly journals The influence of chemical reaction and viscous dissipation on unsteady MHD free convection flow past an exponentially accelerated vertical plate with variable surface conditions

2013 ◽  
Vol 19 (2) ◽  
pp. 181-193 ◽  
Author(s):  
P.M. Kishore ◽  
D. Bhanumathi ◽  
Vijayakumar Verma
Keyword(s):  
Free Convection ◽  
Viscous Dissipation ◽  
Chemical Reaction ◽  
Vertical Plate ◽  
Numerical Study ◽  
Concentration Field ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Variable Surface ◽  
Flow Variables

A numerical study is presented on the effects of chemical reaction and magnetic field on the unsteady free convection flow, heat and mass transfer characteristics in a viscous, incompressible and electrically conducting fluid past an exponentially accelerated vertical plate by taking into account the heat due to viscous dissipation. The problem is governed by coupled non-linear partial differential equations. The dimensionless equations of the problem have been solved numerically by the implicit finite difference method of Crank - Nicolson?s type. The effects of governing parameters on the flow variables are discussed quantitatively with the aid of graphs for the flow field, temperature field, concentration field, skin-friction, Nusselt number and Sherwood number. It is found that under the influence of chemical reaction, the flow velocity as well as concentration distributions reduce, while the viscous dissipation parameter leads to increase the temperature.

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