Electrically conducting fluid flow caused by a concavo-convex wall under an uniform magnetic field

2014 ◽  
Vol 2014.27 (0) ◽  
pp. 720-722
Author(s):  
Naoki OIKAWA ◽  
Kazuyuki UENO
Keyword(s):  
Magnetic Field ◽  
Fluid Flow ◽  
Uniform Magnetic Field ◽  
Conducting Fluid ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Convex Wall

On the spin-up of an electrically conducting fluid Part 2. Hydromagnetic spin-up between infinite flat insulating plates

1970 ◽  
Vol 43 (4) ◽  
pp. 785-799 ◽  
Author(s):  
David E. Loper ◽  
Edward R. Benton
Keyword(s):  
Magnetic Field ◽  
Time Scale ◽  
Uniform Magnetic Field ◽  
Conducting Fluid ◽  
Flow Structures ◽  
Magnetic Diffusion ◽  
Electrically Conducting ◽  
Physical Mechanisms ◽  
Electrically Conducting Fluid ◽  
A Current

The linear spin-up of a homogeneous electrically conducting fluid confined between infinite flat insulating plates is analyzed for the case in which a uniform magnetic field is applied normal to the boundaries. As in part 1 (Benton & Loper 1969), complete hydromagnetic interaction is embraced even within linearized equations. Approximate inversion of the exact Laplace transform solution reveals the presence of several flow structures: two thin Ekman–Hartmann boundary layers (one on each plate), which are quasi-steady on the time scale of spin-up, two thicker continuously growing magnetic diffusion regions, and an essentially inviscid, current-free core, which may or may not be present on the spin-up time scale, depending upon the growth rate of the magnetic diffusion regions. When a current-free core exists, it is found to spin-up at the same rate as the fluid within magnetic diffusion regions, although different physical mechanisms are at play. As a result, a single hydromagnetic spin-up time is derived, independently of the thickness of magnetic diffusion regions; this time is shorter than in the non-magnetic problem.

scholarly journals Effect of variable viscosity on laminar convection flow of an electrically conducting fluid in uniform magnetic field

2002 ◽  
pp. 49-62 ◽  
Author(s):  
S. Chakraborty ◽  
A.K. Borkakati
Keyword(s):  
Magnetic Field ◽  
Flat Plate ◽  
Uniform Magnetic Field ◽  
Numerical Solutions ◽  
Fluid Velocity ◽  
Conducting Fluid ◽  
Fluid Viscosity ◽  
Electrically Conducting ◽  
Viscosity Parameter ◽  
Electrically Conducting Fluid

The flow of a viscous incompressible electrically conducting fluid on a continuous moving flat plate in presence of uniform transverse magnetic field, is studied. The flat plate which is continuously moving in its own plane with a constant speed is considered to be isothermally heated. Assuming the fluid viscosity as an inverse linear function of temperature, the nature of fluid velocity and temperature in presence of uniform magnetic field are shown for changing viscosity parameter at different layers of the medium. Numerical solutions are obtained by using Runge-Kutta and Shooting method. The coefficient of skin friction and the rate of heat transfer are calculated at different viscosity parameter and Prandt l number. .

Nonlinear Ekman-Hartmann layers and the flow outside

1976 ◽  
Vol 76 (2) ◽  
pp. 401-413 ◽  
Author(s):  
S. S. Chawla
Keyword(s):  
Magnetic Field ◽  
Fluid Flow ◽  
Differential Rotation ◽  
Asymptotic Expansions ◽  
Large Distance ◽  
Uniform Magnetic Field ◽  
Hydromagnetic Flow ◽  
Electrically Conducting ◽  
Axis Of Rotation ◽  
Electrically Conducting Fluid

We consider in this paper the hydromagnetic flow of a viscous, incompressible, electrically conducting fluid induced by the differential rotation of an insulating boundary. A uniform magnetic field parallel to the axis of rotation is applied at a large distance from the interface. The method of matched asymptotic expansions is employed to study the hydromagnetic coupling between different regions of fluid flow and the interior of the insulating boundary.

scholarly journals The Rayleigh Problem for a Third Grade Electrically Conducting Fluid in a Magnetic Field

2008 ◽  
Vol 15 (sup1) ◽  
pp. 77-90 ◽  
Author(s):  
Tasawar Hayat ◽  
Herman Mambili-Mamboundou ◽  
Ebrahim Momoniat ◽  
Fazal M Mahomed
Keyword(s):  
Magnetic Field ◽  
Conducting Fluid ◽  
Third Grade ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Rayleigh Problem
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