Effect of External Constraints of Magnetic Field and Velocity Shear on the Propagation of Internal Waves in a Chiral Fluid

Authors

1 UGC – Center for Advanced Studies in Fluid Dynamics, Department of Mathematics ,Bangalore University, Bangaolre – 560001

2 Department of Electronics Engineering., University Visvesvaraya College of Engineering, Bangalore University, Bangalore – 560001

3 Department of Telecommunication Engineering., Siddaganga Institute of Technology, Tumkur-572103.

Abstract

The propagation of internal electromagnetic waves in an inviscid chiral fluid in the presence of the external constraint of transverse magnetic field is investigated. These waves are shown to be generated due to the stabilizing nature of the distribution of charge density. It is shown that the effect of the external constraint of magnetic field in a chiral fluid is analogous to the effect of viscosity in ordinary fluids. The wave equation, derived from the conservation of mass and momentum together with Maxwell’s equations and suitable auxiliary equations for chiral materials, reveals the existence of a critical level (i.e., resonance level) at which the Doppler shifted frequency d = 0, i.e., at the point where the basic fluid velocity matches with the phase velocity of the wave. The solution of this wave equation is obtained near and away from the critical levels from which the attenuation of waves is predicted using momentum flux. This is verified using group velocity approach.

Keywords

Journal of Applied Fluid Mechanics
Volume 4, Issue 1
February 2012
Pages 115-120

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