MHD free convection flow of a micropolar fluid past a vertical porous plate

2002 ◽  
Vol 80 (12) ◽  
pp. 1661-1673 ◽  
Author(s):  
K A Helmy ◽  
H F Idriss ◽  
S E Kassem
Keyword(s):  
Micropolar Fluid ◽  
Porous Plate ◽  
Infinite Plate ◽  
Numerical Approach ◽  
Convection Flow ◽  
Heated Plate ◽  
Governing Equations ◽  
State Space Approach ◽  
The Laplace Transform ◽  
Space Approach

The present work is concerned with the unsteady flow of an incompressible, viscous, conducting micropolar fluid, through a porous medium, over an infinite plate that is started into motion in its own plane by an impulse. A uniform magnetic field acts in a direction perpendicular to the plate. The governing equations are solved using a state space approach and the inversion of the Laplace transform is carried out, using a numerical approach. The technique is applied to a heated-plate problem and to a problem pertaining to a plate under uniform heating. Numerical results concerning temperature (for both problems), velocity, and microrotation are given and are illustrated graphically. PACS Nos.: 47.00, 65.00, 47.50, 76.00

Two-temperature theory in generalized magneto-thermo-viscoelasticity

2009 ◽  
Vol 87 (4) ◽  
pp. 329-336 ◽  
Author(s):  
Magdy A. Ezzat ◽  
Alaa Abd El Bary ◽  
Ahmed S. El Karamany
Keyword(s):  
Magnetic Field ◽  
Specific Problem ◽  
Relaxation Times ◽  
Numerical Approach ◽  
Dimensional Model ◽  
State Space Approach ◽  
One Dimensional ◽  
The Laplace Transform ◽  
Two Temperature ◽  
Space Approach

A one-dimensional model of the two-temperature generalized magneto-viscoelasticity with two relaxation times in a perfect conducting medium is established. The state space approach is adopted for the solution of one-dimensional problems for any set of boundary conditions. The resulting formulation together with the Laplace transform techniques are applied to a specific problem of a half-space subjected to thermal shock and traction-free surface. The inversion of the Laplace transforms is carried out using a numerical approach. Numerical results are given and illustrated graphically for the problem. Some comparisons have been shown in figures to estimate the effects of the temperature discrepancy and the applied magnetic field.

Lie group analysis of chemical reaction effects on MHD free convection dissipative fluid flow past an inclined porous surface

2015 ◽  
Vol 25 (7) ◽  
pp. 1557-1573 ◽  
Author(s):  
G. Venkata Ramana Reddy ◽  
Ali J Chamkha
Keyword(s):  
Free Convection ◽  
Viscous Dissipation ◽  
Chemical Reaction ◽  
Shooting Method ◽  
Porous Plate ◽  
Group Analysis ◽  
Convection Flow ◽  
Governing Equations ◽  
Content Type ◽  
The Magnetic Field

Purpose – The purpose of this paper is to study chemical reaction and heat and mass transfer effects on steady free convection flow in an inclined porous plate in the presence of MHD and viscous dissipation through the application of scaling group of transformation and numerical method. Design/methodology/approach – The fourth-order Runge-Kutta along with the shooting method is employed in the numerical solution of the governing equations. Findings – The magnetic field parameter, the permeability of porous medium and the viscous dissipation are demonstrated to exert a more significant effect on the flow field and, thus, on the heat transfer from the plate to the fluid. Originality/value – The problem is relatively original.

scholarly journals Viscous Dissipation and Dufour Effects on MHD Free Convection Flow Through an Oscillatory Inclined Porous Plate with Hall and Ion-Slip Current

2018 ◽  
Vol 7 (4.5) ◽  
pp. 410 ◽  
Author(s):  
K. V. B. Raja kumar ◽  
K. S. Balamurugan ◽  
Ch. V. Ramana Murthy ◽  
N. Ranganath
Keyword(s):  
Viscous Dissipation ◽  
Porous Plate ◽  
Convection Flow ◽  
Governing Equations ◽  
Inclined Plate ◽  
Regular Perturbation ◽  
Rotating System ◽  
Free Convection Flow ◽  
Ion Slip ◽  
Flow Through

In this paper the viscous dissipation and Dufour effects on Unsteady MHD free convective flow through a semi-infinite Oscillatory porous inclined plate of time dependent permeability with Chemical reaction and Hall and Ion-Slip Current in a Rotating System was investigated. The dimensionless governing equations for this investigation are solved analytically by using multiple regular perturbation law. The effects of different parameters on velocity, temperature and concentration fields are shown graphically.  

scholarly journals Forced Convective of Micropolar Fluid on a Stretching Surface of Another Quiescent Fluid

MATEMATIKA ◽  
2019 ◽  
Vol 35 (3) ◽  
Author(s):  
Nurazleen Abdul Majid ◽  
Nurul Farahain Mohammad ◽  
Abdul Rahman Mohd Kasim ◽  
Sharidan Shafie
Keyword(s):  
Differential Equations ◽  
Micropolar Fluid ◽  
Similarity Transformation ◽  
Convection Flow ◽  
Governing Equations ◽  
Stretching Surface ◽  
Strong Concentration ◽  
Lower Fluid ◽  
Forced Convection Flow ◽  
Quiescent Fluid

In this paper, the problem of forced convection flow of micropolar fluid of lighter density impinging orthogonally on another heavier density of micropolar fluid on a stretching surface is investigated. The boundary layer governing equations are transformed from partial differential equations into a system of nonlinear ordinary differential equations using similarity transformation and solved numerically using dsolve function in Maple software version 2016. The velocity, microrotation and temperature of micropolar fluid are analyzed. It is found that both upper fluid and lower fluid display opposite behaviour when micropolar parameter K various with strong concentration n = 0, Pr = 7 and stretching parameter lambda = 0.5. The results also show that stretching surface exert the force that increasing the velocity of micropolar fluid.

Unsteady Free-Convection Flow on a Vertical Oscillating Porous Plate With Constant Heating

2008 ◽  
Vol 76 (1) ◽  
Author(s):  
C. J. Toki
Keyword(s):  
Free Convection ◽  
Porous Plate ◽  
Convection Flow ◽  
Heating Effects ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Suction Or Injection ◽  
Constant Heating ◽  
Oscillating Plate ◽  
Special Case

In this paper, we consider the unsteady free-convection flows of a viscous and incompressible fluid near an oscillating porous infinite vertical plate (or wall) during the heating of the plate. The governing equations are solved in closed form by the Laplace transform technique, when the Prandtl number (Pr) of the fluid is arbitrary and the suction (or injection) is constant. This solution is applied for a special case of the constant heating effects from the harmonically oscillating plate. The resulting velocity and temperature are shown graphically and are also discussed for the case of air (Pr=0.71) or water (Pr=7.0) flows.

scholarly journals Mass transfer effects on an unsteady MHD free convective flow of an incompressible viscous dissipative fluid past an infinite vertical porous plate

2016 ◽  
Vol 21 (1) ◽  
pp. 143-155 ◽  
Author(s):  
B. Prabhakar Reddy
Keyword(s):  
Mass Transfer ◽  
Porous Plate ◽  
Numerical Data ◽  
Convection Flow ◽  
Governing Equations ◽  
Transfer Effects ◽  
Electrically Conducting ◽  
Vertical Porous Plate ◽  
Flow Parameters ◽  
Dissipative Fluid

Abstract In this paper, a numerical solution of mass transfer effects on an unsteady free convection flow of an incompressible electrically conducting viscous dissipative fluid past an infinite vertical porous plate under the influence of a uniform magnetic field considered normal to the plate has been obtained. The non-dimensional governing equations for this investigation are solved numerically by using the Ritz finite element method. The effects of flow parameters on the velocity, temperature and concentration fields are presented through the graphs and numerical data for the skin-friction, Nusselt and Sherwood numbers are presented in tables and then discussed.

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