Hydromagnetic Convective Diffusion Between Parallel Plates With Suction

1985 ◽  
Vol 52 (1) ◽  
pp. 213-215
Author(s):  
N. Annapurna ◽  
A. S. Gupta ◽  
B. S. Dandapat

This paper presents an analytical solution for the dispersion of a solute in an electrically conducting fluid flowing between parallel plates with a transverse magnetic field and uniform wall suction. For fixed values of the suction parameter P and Schmidt number Sc, the longitudinal diffusion coefficient K decreases rapidly with increase in the magnetic parameter M. Further, for fixed M and Sc, it is found that K increases with increasing P. The effect of variation of Sc on K is found to be very small.

The paper presents an exact analysis of the dispersion of a solute in an electrically conducting fluid flowing between two parallel plates in the presence of a uniform transverse magnetic field. Using a generalized dis­persion model, which is valid for all time after the injection of the solute in the flow we evaluate the longitudinal dispersion coefficients as functions of time. For small values of the Hartmann number M , the values of the dispersion coefficients show rapid fluctuations which decay with increase in M , and for moderate and large values of M , these coefficients monotonically decrease with increase in M . In a non-conducting fluid, such rapid fluctuations are absent and the dispersion coefficients for a pipe flow are less than the corresponding values for a channel flow.


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.


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.


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