Effects of a Transverse Magnetic Field on a Constricted Electric Arc

1975 ◽  
Vol 97 (2) ◽  
pp. 267-273 ◽  
Author(s):  
F. W. Ahrens ◽  
H. N. Powell

The interaction of a constricted electric arc (argon at 1 atm) with an applied perpendicular magnetic field has been investigated analytically. The resulting (two-dimensional) flow and temperature fields, conductive and radiative wall heat transfer, and voltage-current characteristics of the arc are predicted. Three characteristic parameters are isolated: (I/a = current/tube radius), (Re = Lorentz and viscous force parameter), (RT = radiation parameter). When radiation is negligible, the first two are sufficient to scale the effects of any combination of current, tube radius, and applied magnetic field strength. A twin vortex flow pattern is predicted, with the displacement of the vortex “eyes” greatest for high applied magnetic fields and low currents. Comparisons with experimental results from the literature are good to satisfactory.

2000 ◽  
Vol 38 (4) ◽  
pp. 515-519 ◽  
Author(s):  
E. B. Kulumbaev ◽  
Y. M. Lelevkin

2011 ◽  
Vol 15 (2) ◽  
pp. 517-526 ◽  
Author(s):  
Phool Singh ◽  
Tomer Singh ◽  
Sandeep Kumar ◽  
Deepa Sinha

An analysis is made for the steady two-dimensional flow of a viscous incompressible electrically conducting fluid in the vicinity of a stagnation point on a stretching sheet. Fluid is considered in a porous medium under the influence of (i)transverse magnetic field, (ii)volumetric rate of heat generation/absorption in the presence of radiation effect. Rosseland approximation is used to model the radiative heat transfer. The governing boundary layer equations are transformed to ordinary differential equations by taking suitable similarity variables. In the present reported work the effect of porosity parameter, radiation parameter, magnetic field parameter and the Prandtl number on flow and heat transfer characteristics have been discussed. Variation of above discussed parameters with the ratio of free stream velocity parameter to stretching sheet parameter have been graphically represented.


2010 ◽  
Vol 36 (13) ◽  
pp. 1210-1214 ◽  
Author(s):  
D. F. Alferov ◽  
M. R. Ahmetgareev ◽  
D. V. Yevsin ◽  
V. P. Ivanov

Author(s):  
M M Heyhat ◽  
N Khabazi

In this article, the magnetohydrodynamic flow and heat transfer of an upper-convected Maxwell fluid is studied theoretically above a flat rigid surface with constant temperature. It is assumed that the Reynolds number of the flow is high enough for boundary layer approximation to be valid. Assuming a laminar, two-dimensional flow above the plate, the concept of stream function coupled with the concept of similarity solution is utilized to reduce the governing equations, which are continuity, momentum, and energy equations, into two ordinary differential equations. The spectral method is used for solving the equations numerically. The effects of magnetic field, and Deborah, Prandtl, and Eckert numbers on the fluid velocity field and heat transfer behaviour are shown in several plots. Obtained results show that fluid velocity can be decreased by increasing the magnetic number while it increases by increasing the Deborah number. Moreover, the thickness of the thermal boundary layer is decreased by increasing the Deborah and Prandtl numbers. It is increased by an increase in the Eckert number.


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