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A study of over-reflection in Hartmann flow

Parhi, S and Nath, G (1995) A study of over-reflection in Hartmann flow. In: Nuovo Cimento della Società Italiana di Fisica - D: Condensed Matter, Atomic, Molecular and Chemical Physics, Biophysics, 17 (5). pp. 473-487.

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Abstract

It is observed that Hartmann flow sustains wave propagation in its centre region for waves whose phase speed is less than the maximum flow speed. Similar to the previous observations it is found that viscous boundary layers around the critical level and at the wall replace the exponential regions and wave sinks required for over-reflection in the inviscid flow. The uniform magnetic field stabilizes the flow for small-wave-number disturbances along thez-direction. Over-reflection is confined to a few ranges of phase speeds for which the two boundary layers are close together rather than widely separated. These ranges correspond exactly to those for which unstable eigenmodes exist. Over-reflection is associated with a wave phase tilt opposite in direction to the shear.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Italian Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 26 Apr 2011 06:01
Last Modified: 26 Apr 2011 06:01
URI: http://eprints.iisc.ernet.in/id/eprint/36933

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