Kelvin-Helmholtz Instability in a Fluid Layer Bounded above by a Porous Layer and Below by a Rigid Surface in Presence of Magnetic Field

Chavaraddi, Krishna B and Katagi, N N and Awati, Vishwanath B (2012) Kelvin-Helmholtz Instability in a Fluid Layer Bounded above by a Porous Layer and Below by a Rigid Surface in Presence of Magnetic Field. Applied Mathematics,, 3 (6). pp. 564-570. ISSN 2152-7393

[img] PDF
nnk-paper-srp.pdf
Restricted to Registered users only

Download (166kB) | Request a copy
Official URL: http://www.scirp.org/journal/am/

Abstract

We study the stability of an interface between two fluids of different densities flowing parallel to each other in the presence of a transverse magnetic field. A simple theory based on fully developed flow approximations is used to derive the dispersion relation for the growth rate of KHI. We replace the effect of boundary layer with Beavers and Joseph slip condition. The dispersion relation is derived using suitable boundary and surface conditions and results are discussed graphically. The magnetic field is found to be stabilizing and the influence of the various parameters of the problem on the interface stability is thoroughly analyzed. These are favorable to control the surface instabilities in many practical applications discussed in this paper.

Item Type: Article
Uncontrolled Keywords: KHI; Magnetic Field; BJ-Slip Condition; Porous Layer; Dispersion Relation
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 19 Feb 2013 11:33
Last Modified: 19 Feb 2013 11:33
URI: http://eprints.manipal.edu/id/eprint/78605

Actions (login required)

View Item View Item