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. .

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.

Mixed Convection Cooling of a Stretching Sheet in the Presence of a Magnetic Field for Manufacturing Processes

2009 ◽  
Vol 419-420 ◽  
pp. 353-356 ◽  
Author(s):  
Chien Hsin Chen
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Numerical Solutions ◽  
Conducting Fluid ◽  
Manufacturing Processes ◽  
Stretching Surface ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Electrically Conducting Fluid ◽  
Rate Of Cooling

The problem of flow and heat transfer over a continuously stretching surface finds applications in many manufacturing processes, such as polymer extrusion, wire drawing, continuous casting, glass fiber production, and metallurgical processes. It is known that the properties of the final product depend considerably on the rate of cooling during the manufacturing processes. The rate of cooling can be controlled by drawing the strips in an electrically conducting fluid subject to a magnetic field, so that a final product of desired characteristics can be achieved. In this study, the problem of magneto-hydrodynamic (MHD) mixed convective flow and heat transfer of an electrically conducting fluid past a stretching surface under the influence of an applied magnetic field is analyzed. After transforming the governing equations with suitable dimensionless variables, numerical solutions are generated by an implicit finite-difference technique for the non-similar, coupled flow. To reveal the tendency of the solutions, typical results for the velocity and temperature profiles, the skin-friction coefficient, and the local Nusselt number are presented for different parameters.

scholarly journals MHD Natural Convection Flow of Fluid From a Vertical Flat Plate Considering Temperature Dependent Viscosity

2010 ◽  
Vol 2 (3) ◽  
pp. 453
Author(s):  
S. F. Ahmmed ◽  
M. S. A. Sarker
Keyword(s):  
Magnetic Field ◽  
Natural Convection ◽  
Flat Plate ◽  
Variable Viscosity ◽  
Conducting Fluid ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Local Skin ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid

A two-dimensional natural convection flow of a viscous incompressible and electrically conducting fluid past a vertical impermeable flat plate is considered in presence of a uniform transverse magnetic field. Here the viscosity is taken as dependent on temperature whereas the thermal conductivity is assumed constant. We also investigate the effect of magnetic field on the natural convection flow of a viscous incompressible and electrically conducting fluid. The effect of variable viscosity and magnetic field on local skin friction, the rate of heat transfer and the profiles for velocity as well as viscosity in the entire free convection regime are presented and discussed. Keywords: Natural convection; Magnethydrodynamics (MHD); Viscosity; Prandtl number.  © 2010 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved. DOI: 10.3329/jsr.v2i3.4776                 J. Sci. Res. 2 (3), 453-463 (2010) 

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