Nonlinear solutions of modified plane Couette flow in the presence of a transverse magnetic field

1996 ◽  
Vol 307 ◽  
pp. 231-243 ◽  
Author(s):  
M. Nagata

A nonlinear analysis is performed numerically for the motion of an electrically conducting fluid between parallel plates in relative motion when a transverse magnetic field is applied. It is found that steady three-dimensional finite-amplitude solutions exist even when the linear analysis predicts an infinite critical Reynolds number.

2003 ◽  
pp. 1-9
Author(s):  
G. Bodosa ◽  
A.K. Borkakati

The problem of an unsteady two-dimensional flow of a viscous incompressible and electrically conducting fluid between two parallel plates in the presence of a uniform transverse magnetic field has been analyzed, when in case-I the plates are at different tem?peratures and in case-II the upper plate is considered to move with constant velocity where as the lower plate is adiabatic. Fluid velocities and temperatures are obtained and plotted graphically.


1968 ◽  
Vol 64 (4) ◽  
pp. 1209-1214 ◽  
Author(s):  
A. S. Gupta ◽  
A. S. Chatterjee

AbstractThe paper presents an analytical solution for the dispersion of a solute in an electrically conducting fluid flowing between two parallel plates in the presence of a transverse magnetic field. It is shown that the solute is dispersed relative to a plane moving with the mean speed of the flow with an effective Taylor diffusion coefficient which decreases with increase in magnetic field.


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