A problem of a viscoelastic magnetohydrodynamic fluctuating-boundary-layer flow past an infinite porous plate

1993 ◽  
Vol 71 (3-4) ◽  
pp. 97-105 ◽  
Author(s):  
Hany H. Sherief ◽  
Magdy A. Ezzat
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Uniform Magnetic Field ◽  
Free Stream ◽  
Porous Plate ◽  
Two Dimensional ◽  
Viscoelastic Parameter ◽  
Electrically Conducting ◽  
Porous Flat Plate ◽  
Layer Flow

In this work we study the motion of a two-dimensional incompressible flow of an electrically conducting viscoelastic fluid past an infinite porous flat plate subject to uniform suction in the presence of a transverse uniform magnetic field. The effects of the flow on the temperature of the plate are studied when the plate is thermally insulated, and when it is kept at a constant temperature that is higher than that of the free stream. A method proposed by Lighthill and Stuart is utilized in solving the problem. The effects of various parameters such as the magnetic number, the viscoelastic parameter, and the frequency of the free-stream oscillations on the flow are studied.

scholarly journals Separation Points of Magneto-hydrodynamic Boundary Layer Flow Along a Vertical Plate with Exponentially Decreasing Free Stream Velocity

1970 ◽  
Vol 5 (1) ◽  
pp. 11-18 ◽  
Author(s):  
MA Alim ◽  
MM Rahman ◽  
MM Karim
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Vertical Plate ◽  
Free Stream ◽  
Stream Velocity ◽  
Convection Boundary Layer ◽  
Boundary Layer Equations ◽  
Box Scheme ◽  
Convection Boundary ◽  
Layer Flow

The points of separation of magneto-hydrodynamic mixed convection boundary layer flow along a vertical plate have been investigated. The free stream velocity is considered decreasing exponentially in the stream wise direction. The governing boundary layer equations are transformed into a non-dimensional form and the resulting nonlinear system of partial differential equations are reduced to local non-similar boundary layer equations, which are solved numerically by implicit finite difference method known as Keller box scheme. Here we have focused our attention to find the effects of suction, magnetic field and other relevant physical parameters on the position of boundary layer separation. The numerical results are expressed in terms of local shear stress showing the effects of suction, buoyancy, Prandlt number and magnetic field on the shear stress as well as on the points of separation. Keywords: Separation points, magneto-hydrodynamic, mixed convection, boundary layer, suction, finite difference method, Keller box scheme.   doi:10.3329/jname.v5i1.1868Journal of Naval Architecture and Marine Engineering Vol. 5, No. 1 (June, 2008) 11-18. 

Axisymmetric Stagnation Point MHD Flow Over a Porous Plate With Heat Transfer

2003 ◽  
Author(s):  
Hazem Ali Attia
Keyword(s):  
Heat Transfer ◽  
Uniform Magnetic Field ◽  
Porous Plate ◽  
Mhd Flow ◽  
Hydromagnetic Flow ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Porous Flat Plate ◽  
Suction Or Injection ◽  
External Uniform Magnetic Field

The steady axisymmetric hydromagnetic flow of an incompressible viscous electrically conducting fluid impinging on a porous flat plate with heat transfer are investigated. An external uniform magnetic field and a uniform suction or injection are applied normal to the plate which is maintained at a constant temperature. Numerical solution for the governing nonlinear equations is obtained.

scholarly journals MHD free convection and mass transfer flow over an infinite vertical porous plate with viscous dissipation

2010 ◽  
Vol 37 (4) ◽  
pp. 263-287 ◽  
Author(s):  
Hemant Poonia ◽  
R.C. Chaudhary
Keyword(s):  
Boundary Layer ◽  
Mass Transfer ◽  
Viscous Dissipation ◽  
Porous Plate ◽  
Eckert Number ◽  
Convective Boundary ◽  
Electrically Conducting ◽  
Layer Flow ◽  
Transfer Flow ◽  
Infinite Vertical Plate

An unsteady, two-dimensional, hydromagnetic, laminar mixed convective boundary layer flow of an incompressible and electrically-conducting fluid along an infinite vertical plate embedded in the porous medium with heat and mass transfer is analyzed, by taking into account the effect of viscous dissipation. The dimensionless governing equations for this investigation are solved analytically using two-term harmonic and non-harmonic functions. Numerical evaluation of the analytical results is performed and graphical results for velocity, temperature and concentration profiles within the boundary layer are discussed. The results show that increased cooling (Gr > 0) of the plate and the Eckert number leads to a rise in the velocity profile. Also, an increase in Eckert number leads to an increase in the temperature. Effects of Sc on velocity and concentration are discussed and shown graphically.

scholarly journals MHD Flow Of Walters’ Liquid B Over A Nonlinearly Stretching Sheet

2015 ◽  
Vol 20 (3) ◽  
pp. 589-603 ◽  
Author(s):  
P.G. Siddheshwar ◽  
U.S. Mahabaleshwar ◽  
A. Chan
Keyword(s):  
Magnetic Field ◽  
Stretching Sheet ◽  
Quadratic Function ◽  
Mhd Flow ◽  
Transverse Magnetic ◽  
Viscoelastic Parameter ◽  
Electrically Conducting ◽  
Nonlinearly Stretching Sheet ◽  
Layer Flow ◽  
Chandrasekhar Number

Abstract The paper discusses the boundary layer flow of a weak electrically conducting viscoelastic Walters’ liquid B over a nonlinearly stretching sheet subjected to an applied transverse magnetic field, when the liquid far away from the surface is at rest. The stretching is assumed to be a quadratic function of the coordinate along the direction of stretching. An analytical expression is obtained for the stream function and velocity components as a function of the viscoelastic parameter, the Chandrasekhar number and stretching related parameters. The results have possible technological applications in liquid based systems involving stretchable materials.

scholarly journals Radiation and mass transfer effects on an unsteady MHD free convection flow past a heated vertical plate in a porous medium with viscous dissipation

2007 ◽  
Vol 34 (2) ◽  
pp. 135-160 ◽  
Author(s):  
Ramachandra Prasad ◽  
Bhaskar Reddy
Keyword(s):  
Boundary Layer ◽  
Mass Transfer ◽  
Viscous Dissipation ◽  
Porous Plate ◽  
Skin Friction Coefficient ◽  
Convection Flow ◽  
Governing Equations ◽  
Convective Boundary ◽  
Electrically Conducting ◽  
Layer Flow

An unsteady, two-dimensional, hydromagnetic, laminar free convective boundary-layer flow of an incompressible, Newtonian, electrically-conducting and radiating fluid past an infinite heated vertical porous plate with heat and mass transfer is analyzed, by taking into account the effect of viscous dissipation. The dimensionless governing equations for this investigation are solved analytically using two-term harmonic and non-harmonic functions. Numerical evaluation of the analytical results is performed and graphical results for velocity, temperature and concentration profiles within the boundary layer and tabulated results for the skin-friction coefficient, Nusselt number and Sherwood number are presented and discussed. It is observed that, when the radiation parameter increases, the velocity and temperature decrease in the boundary layer, whereas when thermal and solutal Grashof increases the velocity increases.

The magneto-hydrodynamic boundary layer in the two-dimensional steady flow past a semi-infinite flat plate, lII . The influence of an adverse magneto-dynamic pressure gradient

1963 ◽  
Vol 273 (1355) ◽  
pp. 518-537 ◽  
Keyword(s):  
Boundary Layer ◽  
Pressure Gradient ◽  
Flat Plate ◽  
Dynamic Pressure ◽  
Two Dimensional ◽  
Conducting Liquid ◽  
Electrically Conducting ◽  
Hydrodynamic Boundary Layer ◽  
Layer Flow ◽  
The Magnetic Field

An investigation is made of the boundary-layer flow of a viscous electrically conducting liquid in the neighbourhood of a semi-infinite flat plate, the flow being opposed by a magneto-dynamic pressure gradient. The plate is assumed to be unmagnetized and the magnetic field well away from the plate is parallel to the plate.

Hydromagnetic free convective flow of Walters’-B fluid over a vertical surface with time varying surface conditions

2020 ◽  
Vol 17 (2) ◽  
pp. 295-307 ◽  
Author(s):  
Jitendra Kumar Singh ◽  
Gauri Shenkar Seth ◽  
Ghousia Begum ◽  
Vishwanath S.
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Applied Magnetic Field ◽  
Free Stream ◽  
Vertical Surface ◽  
Time Varying ◽  
Content Type ◽  
Ion Slip ◽  
Layer Flow ◽  
Walters B Fluid

Purpose In the present investigation, hydromagnetic boundary layer flow of Walters’-B fluid over a vertical porous surface implanted in a porous material under the action of a strong external applied magnetic field and rotation is presented. In several industrial applications, the external applied magnetic field is strong enough to produce Hall and ion-slip currents. Thus, the influence of Hall and ion-slip currents is also considered in this analysis. The flow through configuration is generated because of time varying motion of the free-stream and buoyancy action. Design/methodology/approach Regular perturbation scheme is used to obtain the solution of the system of coupled partial differential equations representing the mathematical model of the problem. Numerical computation has been performed to notice the change in flow behavior and the numerical results for velocity field, temperature field, species concentration, skin friction, rate of heat and mass transfer are presented through graphs and tables. Findings An important fact noticed that the exponential time varying motion of the free-stream induces reverse flow in the direction perpendicular to the main flow. Rising values of the strength of the applied magnetic field give increment in the fluid velocity in the neighbourhood of the vertical surface, this may cause because of the exponential motion of the free-stream. The behaviour of the Darcian drag force is similar as magnetic field on fluid flow. Originality/value In literature, very less research works are available on Walters’-B fluid where unsteadiness in the system occurs because of time varying motion of the free-stream. In this paper, the authors have made an attempt to study the action of Hall and ion-slip currents, rotation and external applied magnetic field on hydromagnetic boundary layer flow of Walters’-B fluid over a vertical surface implanted in a porous material.

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