Weak Fluctuation Modes of an Electrically and Thermally Conducting Viscous Incompressible Fluid in a Homogeneous Magnetic Field

1970 ◽  
Vol 13 (1) ◽  
pp. 32 ◽  
Author(s):  
M. M. Stanišić
Keyword(s):  
Magnetic Field ◽  
Incompressible Fluid ◽  
Viscous Incompressible Fluid ◽  
Homogeneous Magnetic Field ◽  
Thermally Conducting

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.

Contributions à l'étude des effets des extrémités dans un générateur à électrodes finies

1968 ◽  
Vol 64 (2) ◽  
pp. 535-548 ◽  
Author(s):  
Lazar DragoŞ
Keyword(s):  
Magnetic Field ◽  
Viscous Incompressible Fluid ◽  
Electrical Potential ◽  
Homogeneous Magnetic Field ◽  
Successive Approximations ◽  
Method Of Successive Approximations ◽  
Induced Magnetic Field ◽  
Rectangular Section ◽  
Current Function ◽  
Derivatives Of

AbstractThe paper studies the motion of an electro-conductive non-viscous incompressible fluid in a generator of rectangular section having finite electrodes and the rest of its walls being insulating. It is assumed that in the electrodes region a homogeneous magnetic field is applied, whose orientation is normal to the plane of the motion. If the induced magnetic field is neglected, the current function ψ(x, y) and the electrical potential ϕ(x, y) satisfy a system of equations with partial derivatives of the second order, with distributions. Since the system depends upon the parameter λ = RM RH a method of successive approximations is developed, which permits one to obtain the exact solution of the problem. In the last paragraph the results are extended to the case of a generator with N pairs of symmetrical electrodes.

Analysis of magneto rheological elastomers for energy harvesting systems

2020 ◽  
Vol 64 (1-4) ◽  
pp. 439-446
Author(s):  
Gildas Diguet ◽  
Gael Sebald ◽  
Masami Nakano ◽  
Mickaël Lallart ◽  
Jean-Yves Cavaillé
Keyword(s):  
Magnetic Field ◽  
Energy Harvesting ◽  
Shear Strain ◽  
Magnetic Induction ◽  
Magnetic Particles ◽  
Homogeneous Magnetic Field ◽  
Electrical Signal ◽  
Harvesting Systems ◽  
Dc Bias ◽  
Magneto Rheological

Magneto Rheological Elastomers (MREs) are composite materials based on an elastomer filled by magnetic particles. Anisotropic MRE can be easily manufactured by curing the material under homogeneous magnetic field which creates column of particles. The magnetic and elastic properties are actually coupled making these MREs suitable for energy conversion. From these remarkable properties, an energy harvesting device is considered through the application of a DC bias magnetic induction on two MREs as a metal piece is applying an AC shear strain on them. Such strain therefore changes the permeabilities of the elastomers, hence generating an AC magnetic induction which can be converted into AC electrical signal with the help of a coil. The device is simulated with a Finite Element Method software to examine the effect of the MRE parameters, the DC bias magnetic induction and applied shear strain (amplitude and frequency) on the resulting electrical signal.

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