The boundary layer of a compressible electrically conducting gas at the electrode of a magnetohydrodynamic channel in the absence of ionization equilibrium

1973 ◽  
Vol 6 (3) ◽  
pp. 510-516
Author(s):  
G. K. Ermolaeva ◽  
V. S. Yuferev
Keyword(s):  
Boundary Layer ◽  
Ionization Equilibrium ◽  
Electrically Conducting ◽  
Magnetohydrodynamic Channel

Boundary layers of an anchored magnetic field in a highly conductive flow

2010 ◽  
Vol 466 (2123) ◽  
pp. 3153-3166 ◽  
Author(s):  
Manuel Núñez ◽  
Alberto Lastra
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Asymptotic Analysis ◽  
Small Parameter ◽  
Order Approximation ◽  
First Order ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
First Order Approximation ◽  
Distance To The Boundary

The effects of the flow of an electrically conducting fluid upon a magnetic field anchored at the boundary of a domain are studied. By taking the resistivity as a small parameter, the first-order approximation of an asymptotic analysis yields a boundary layer for the magnetic potential. This layer is analysed both in general and in three particular cases, showing that while in general its effects decrease exponentially with the distance to the boundary, several additional effects are highly relevant.

Joule heating effect on magnetohydrodynamic mixed convection boundary layer flow with variable electrical conductivity

2013 ◽  
Vol 23 (2) ◽  
pp. 275-288 ◽  
Author(s):  
Anwar Hossain ◽  
Rama Subba Reddy Gorla
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Mixed Convection ◽  
Incompressible Fluid ◽  
Transverse Magnetic Field ◽  
Joule Heating ◽  
Viscous Incompressible Fluid ◽  
Transverse Magnetic ◽  
Content Type ◽  
Electrically Conducting

PurposeThe paper's aim is to investigate the mixed convection flow of an electrically conducting and viscous incompressible fluid past an isothermal vertical surface with Joule heating in the presence of a uniform transverse magnetic field fixed relative to the surface. It was assumed that the electrical conductivity of the fluid varies linearly with the transverse velocity component.Design/methodology/approachThe governing boundary layer equations were solved numerically. The boundary layer equations were first reduced to a convenient form by using two different formulations, namely, (i) the stream function formulation (SFF) and (ii) primitive variable formulation (PVF).FindingsIt was observed that both the local shear‐stress and Nusselt number increase with increasing value of local magnetic parameter, ξ.Research limitations/implicationsIn the present investigation, we investigated the effects of Joule heating on MHD mixed convection boundary layer flow of an electrically conducting viscous incompressible fluid past an isothermal vertical flat plate in the presence of a transverse magnetic field fixed relative to the surface of the plate. The analysis was valid for a steady, two dimensional laminar flow. An extension to three dimensional flow case is left for future work.Practical implicationsHere we have analyzed the problem of mixed convection flow of electrically conducting and viscous incompressible fluid past an isothermal vertical surface with viscous and Joule heating in presence of a uniform transverse magnetic field fixed relative to the surface. The work would be useful in the thermal management of heat transfer devices.Originality/valueThe results of this study may be of interest to engineers interested in heat exchanger design.

scholarly journals Chemical Reaction Influence on General Fluid

2019 ◽  
Vol 9 (2) ◽  
pp. 808-813
Keyword(s):  
Boundary Layer ◽  
Chemical Reaction ◽  
Radiation Effects ◽  
Two Dimensional ◽  
Permeable Plate ◽  
Electrically Conducting ◽  
Dimensional Flow ◽  
Perturbation Procedure ◽  
Two Dimensional Flow ◽  
Fluid Parameters

This paper focuses on unsteady, two-dimensional, flow boundary layer of a incompressible viscous electrically conducting and absorbing heat fluid along a semi-infinite vertical moving permeable plate in the presence of Chemical reaction and radiation effects. The dimensionless equations are analytically solved using perturbation procedure. The effects of the different flow fluid parameters on velocity, temperature and concentration fields with in the boundary layer have been examined with the help of graphs.

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.

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.

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