Hydromagnetic transverse instability of two highly viscous fluid-particle flows with finite ion Larmor radius corrections |
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Authors: | MF El-Sayed |
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Institution: | (1) Department of Mathematics and Computer Science, Faculty of Science, United Arab Emirates University, P.O. Box 17551, Al Ain, Unied Arab Emirates, AE |
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Abstract: | A linear analysis of the combined effect of viscosity, finite ion Larmor radius and suspended particles on Kelvin-Helmholtz
instability of two superposed incompressible fluids in the presence of a uniform magnetic field is carried out. The magnetic
field is assumed to be transverse to the direction of streaming. A general dispersion relation for such a configuration has
been obtained using appropriate boundary conditions. The stability analysis is discussed analytically, and the obtained results
are numerically confirmed. Some special cases are recovered and corrected. The limiting cases of absence of suspended particles
(or fluid velocities) and finite Larmor radius, absence of suspended particles are discussed in detail. In both cases, all
other physical parameters are found to have stabilizing as well as destabilizing effects on the considered system. In the
former case, the kinematic viscosity is found to has a stabilizing effect, while in the later case, the finite Larmor radius
is found to has a stabilizing influence for a vortex sheet. It is shown also that both finite Larmor radius and kinematic
viscosity stabilizations for interchange perturbations are similar to the stabilization effect due to a magnetic field for
non-interchange perturbations.
Received 13 January 2003 Published online 24 April 2003
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ID="a"Also at: Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt. e-mail: m.elsayed@uaeu.ac.ae |
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Keywords: | PACS 47 20 -k Hydrodynamic stability – 47 20 Gv Viscous instability – 47 15 Pn Laminar suspensions |
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