Showing papers on "Hartmann number published in 1981"
TL;DR: In this article, the Hartmann number has been used to measure the acceleration of the particles in the laminar motion of an electrically conducting, viscous and incompressible dusty fluid between two infinitely extended nonconducting parallel plates.
Abstract: The unsteady laminar motion of an electrically conducting, viscous and incompressible dusty fluid between two infinitely extended non-conducting parallel plates under a uniform transverse magnetic field, fixed relative to the fluid has been considered. The lower and the upper plate are started impulsively from rest and thereafter move with different but uniform velocities. The velocity fields for the conducting dusty fluid and non-conducting dust particle have been obtained in terms of three non-dimensional parametersl (concentration), σ (relaxation time parameter) andM (Hartmann number). The expressions for the discharge per unit breadth of the plate and the skin-friction at the lower plate are calculated. It is observed, from numerical calculations, that as the Hartmann number increases velocities of the dusty gas and dust particle increase when both the plates are in motion (velocity of the upper plate being equal to, greater than and less than that of the lower plate in the same direction) and decrease in case of Couette motion.
44 citations
TL;DR: In this paper, the combined free and forced convection in a rotating, viscous, incompressible fluid confined between two parallel porous plates is studied, assuming that the temperature varies linearly along the plates and the pressure gradient maintained uniform over the planes parallel to the plates, the velocity, temperature and the stresses are calculated analytically.
Abstract: The paper studies the combined free and forced convection in a rotating, viscous, incompressible fluid confined between two parallel porous plates. Assuming that the temperature varies linearly along the plates and the pressure gradient maintained uniform over the planes parallel to the plates, the velocity, temperature and the stresses are calculated analytically. Their behaviours for different values of the parameters viz., the Hartmann number, the Grashoff number and the suction parameter etc., are discussed graphically giving out the interplay between the various forces.
30 citations
19 citations
TL;DR: An exact analysis of free convection flow of an electrically conducting incompressible and viscous fluid past a vertical infinite porous plate under the action of a transverse magnetic field in a rotating fluid is presented in this article.
Abstract: An exact analysis of free convection flow of an electrically conducting incompressible and viscous fluid past a vertical infinite porous plate under the action of a transverse magnetic field in a rotating fluid is presented. The plate and the fluid are assumed to rotate in a solid body rotation in a steady state. Exact solutions for the velocity and temperature field have been derived. The effects ofM (Hartmann number) on the flow characteristics are discussed.
7 citations
TL;DR: In this paper, the structure of the boundary layer at the wall of a nonconducting duct in fully-developed laminar flow of a conducting fluid when the wall is inclined at a small angle to the uniform transverse magnetic field and when the Hartmann numberM is high is calculated.
Abstract: This paper calculates the structure of the boundary layer which occurs at the wall of a nonconducting duct in fully-developed laminar flow of a conducting fluid when the wall is inclined at a small angleθ to the uniform transverse magnetic field and when the Hartmann numberM is high. Whenθ is large compared withM
−1/2 the layer splits into a Hartmann layer on the inclined wall and a weak shear layer emanating from the duct corner along field lines. These two layers cause equal reductions in the total flow rate.
2 citations