On the flow of an electrically conducting nonlocal viscous fluid between parallel plates in the presence of a transverse magnetic field in magnetohydrodynamics

2011 ◽  
Vol 49 (12) ◽  
pp. 1470-1476 ◽  
Author(s):  
M.N.L. Narasimhan
Keyword(s):  
Magnetic Field ◽  
Viscous Fluid ◽  
Transverse Magnetic Field ◽  
Transverse Magnetic ◽  
Parallel Plates ◽  
Electrically Conducting

scholarly journals MHD couette flow with heat transfer between two horizontal plates in the presence of a uniform transverse magnetic field

2003 ◽  
pp. 1-9
Author(s):  
G. Bodosa ◽  
A.K. Borkakati
Keyword(s):  
Magnetic Field ◽  
Transverse Magnetic Field ◽  
Constant Velocity ◽  
Transverse Magnetic ◽  
Parallel Plates ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Fluid Velocities ◽  
Two Dimensional Flow ◽  
Mhd Couette Flow

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.

Dispersion of soluble matter in the hydromagnetic laminar flow between two parallel plates

1968 ◽  
Vol 64 (4) ◽  
pp. 1209-1214 ◽  
Author(s):  
A. S. Gupta ◽  
A. S. Chatterjee
Keyword(s):  
Magnetic Field ◽  
Diffusion Coefficient ◽  
Laminar Flow ◽  
Analytical Solution ◽  
Transverse Magnetic Field ◽  
Transverse Magnetic ◽  
Parallel Plates ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
The Mean

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.

scholarly journals Separation of species of a binary fluid mixture confined in a channel in presence of a strong transverse magnetic field

2012 ◽  
Vol 66 (2) ◽  
pp. 171-180
Author(s):  
Bishwaram Sharma ◽  
Niroj Sing ◽  
Rupam Gogoi ◽  
Kabita Nath
Keyword(s):  
Magnetic Field ◽  
Transverse Magnetic Field ◽  
Transverse Magnetic ◽  
Magnetic Reynolds Number ◽  
Parallel Plates ◽  
Separation Processes ◽  
Fluid Mixture ◽  
Electrically Conducting ◽  
Basic Fluid ◽  
Cartesian Coordinate

Effects of a transverse magnetic field on separation of a binary mixture of incompressible viscous thermally and electrically conducting fluids confined between two stationary parallel plates are examined. Both the plates are maintained at constant temperatures. It is assumed that one of the components, which is rarer and lighter, is present in the mixture in a very small quantity. The equations governing the motion, temperature and concentration in Cartesian coordinate are solved analytically. The solution obtained for concentration distribution is plotted against the width of the channel for various values of non-dimensional parameters. It is found that the effect of transverse magnetic field is to separate the species of rarer and lighter component by contributing its effect directly to the temperature gradient and the pressure gradient. The effects of increase in the values of Hartmann number, magnetic Reynolds number, barodiffusion number, thermal diffusion number, electric field parameter and the product of Prandtl number and Eckert number are to collect the rarer and lighter component near the upper plate and throw away the heavier component towards the lower plate. The problem discussed here derives its application in the basic fluid dynamics separation processes to separate the rare component of the different isotopes of heavier molecules where electromagnetic method of separation does not work.

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
Keyword(s):  
Magnetic Field ◽  
Transverse Magnetic Field ◽  
Critical Reynolds Number ◽  
Three Dimensional ◽  
Transverse Magnetic ◽  
Finite Amplitude ◽  
Parallel Plates ◽  
Electrically Conducting ◽  
Electrically Conducting Fluid ◽  
Nonlinear Solutions

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.

scholarly journals Influence of Magnetic Field on the Peristaltic Flow of a Viscous Fluid through a Finite-Length Cylindrical Tube

2010 ◽  
Vol 7 (3) ◽  
pp. 169-176 ◽  
Author(s):  
S. K. Pandey ◽  
Dharmendra Tripathi
Keyword(s):  
Magnetic Field ◽  
Viscous Fluid ◽  
Transverse Magnetic Field ◽  
Finite Length ◽  
Flow Rate ◽  
Hartmann Number ◽  
Volume Flow Rate ◽  
Critical Value ◽  
Transverse Magnetic ◽  
Volume Flow

The paper presents an analytical investigation of the peristaltic transport of a viscous fluid under the influence of a magnetic field through a tube of finite length in a dimensionless form. The expressions of pressure gradient, volume flow rate, average volume flow rate and local wall shear stress have been obtained. The effects of the transverse magnetic field and electrical conductivity (i.e. the Hartmann number) on the mechanical efficiency of a peristaltic pump have also been studied. The reflux phenomenon is also investigated. It is concluded, on the basis of the pressure distribution along the tubular length and pumping efficiency, that if the transverse magnetic field and the electric conductivity increase, the pumping machinery exerts more pressure for pushing the fluid forward. There is a linear relation between the averaged flow rate and the pressure applied across one wavelength that can restrain the flow due to peristalsis. It is found that there is a particular value of the averaged flow rate corresponding to a particular pressure that does not depend on the Hartmann number. Naming these values ‘critical values’, it is concluded that the pressure required for checking the flow increases with the Hartmann number above the critical value and decreases with it below the critical value. It is also inferred that magneto-hydrodynamic parameters make the fluid more prone to flow reversal. The conclusion applied to oesophageal swallowing reveals that normal water is easier to swallow than saline water. The latter is more prone to flow reversal. A significant difference between the propagation of the integral and non-integral number of waves along the tube is that pressure peaks are identical in the former and different in the latter cases.

scholarly journals Effect of a magnetic field on the growth rate of the Rayleigh–Taylor instability of a laser-accelerated thin ablative surface

2004 ◽  
Vol 22 (1) ◽  
pp. 29-33 ◽  
Author(s):  
N. RUDRAIAH ◽  
B.S. KRISHNAMURTHY ◽  
A.S. JALAJA ◽  
TARA DESAI
Keyword(s):  
Magnetic Field ◽  
Growth Rate ◽  
Transverse Magnetic Field ◽  
Plasma Layer ◽  
Fusion Energy ◽  
Transverse Magnetic ◽  
Taylor Instability ◽  
Electrically Conducting ◽  
Rayleigh Taylor Instability ◽  
Thin Plasma

The Rayleigh–Taylor instability (RTI) of a laser-accelerated ablative surface of a thin plasma layer in an inertial fusion energy (IFE) target with incompressible electrically conducting plasma in the presence of a transverse magnetic field is investigated using linear stability analysis. A simple theory based on Stokes-lubrication approximation is proposed. It is shown that the effect of a transverse magnetic field is to reduce the growth rate of RTI considerably over the value it would have in the absence of a magnetic field. This is useful in the extraction of IFE efficiently.

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