Non-Newtonian-flow formation in Couette motion in magnetohydrodynamics with time-varying suction

1991 ◽  
Vol 69 (2) ◽  
pp. 75-82 ◽  
Author(s):  
Nabil T. Eldabe ◽  
Ahmed A. A. Hassan
Keyword(s):  
Magnetic Field ◽  
Transverse Magnetic Field ◽  
Incompressible Flow ◽  
Transverse Magnetic ◽  
Time Varying ◽  
Induced Magnetic Field ◽  
Newtonian Flow ◽  
Electrically Conducting ◽  
Moving Wall ◽  
Flow Formation

This paper is an analysis of an incompressible flow of electrically conducting non-Newtonian fluid between two infinite parallel walls one of them moving with a uniform velocity under the action of a transverse magnetic field. The moving wall is subjected to a suction whose magnitude oscillates with respect to time over a constant mean. In our analysis we are taking into account the induced magnetic field; a matter that is neglected by the majority of the previous work. The main results show that the effect of the viscoelasticity of the fluid is to decrease both the flow and the induced magnetic field.

scholarly journals Unsteady hydromagnetic couette flow due to ramped motion of one of the porous plates

2013 ◽  
Vol 18 (4) ◽  
pp. 1039-1056 ◽  
Author(s):  
B.K. Jha ◽  
H.M. Jibril
Keyword(s):  
Magnetic Field ◽  
Couette Flow ◽  
Porous Plate ◽  
Flow Region ◽  
Transverse Magnetic ◽  
Induced Magnetic Field ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Flow Formation ◽  
The Impact

Abstract An unsteady flow formation in Couette motion of an electrically conducting fluid subject to transverse magnetic field has been analyzed in the presence of suction/injection through the porous plates when one of the porous plates is in ramped motion. It is assumed that the porous plates are uniformly permeable and the fluid is entering the flow region through one of the porous plates at same rate as it is leaving through the other porous plate. The resulting boundary value problem has been solved exactly under the assumption of a negligible induced magnetic field, external electric field and pressure gradient. Unified closed form expressions for the velocity field and skin-friction corresponding to the case of a magnetic field fixed relative to the fluid or to the moving porous plate have been presented. In order to highlight the impact of the ramp motion of the porous plate on the fluid flow, it has also been compared with Couette flow between porous plates when one of the porous plates has been set into an impulsive motion.

scholarly journals Effect of a magnetic field on the growth rate of the Rayleigh–Taylor instability of a laser-accelerated thin ablative surface

2004 ◽  
Vol 22 (1) ◽  
pp. 29-33 ◽  
Author(s):  
N. RUDRAIAH ◽  
B.S. KRISHNAMURTHY ◽  
A.S. JALAJA ◽  
TARA DESAI
Keyword(s):  
Magnetic Field ◽  
Growth Rate ◽  
Transverse Magnetic Field ◽  
Plasma Layer ◽  
Fusion Energy ◽  
Transverse Magnetic ◽  
Taylor Instability ◽  
Electrically Conducting ◽  
Rayleigh Taylor Instability ◽  
Thin Plasma

The Rayleigh–Taylor instability (RTI) of a laser-accelerated ablative surface of a thin plasma layer in an inertial fusion energy (IFE) target with incompressible electrically conducting plasma in the presence of a transverse magnetic field is investigated using linear stability analysis. A simple theory based on Stokes-lubrication approximation is proposed. It is shown that the effect of a transverse magnetic field is to reduce the growth rate of RTI considerably over the value it would have in the absence of a magnetic field. This is useful in the extraction of IFE efficiently.

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.

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