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Effect of vortex line distribution in superfluid plane Poiseuille flow instability

Published online by Cambridge University Press:  27 February 2013

R. Sooraj  and
A. Sameen
R. Sooraj
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology Madras, Chennai 600036, India
A. Sameen*
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology Madras, Chennai 600036, India
*
†Email address for correspondence: sameen@ae.iitm.ac.in
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Abstract

The hydrodynamic stability of plane Poiseuille flow of superfluid is studied using modal and non-modal analysis. Two modes of instability are predicted, in normal mode stability analysis of the normal fluid, one caused by viscosity similar to the classical mode and another due to mutual friction between superfluid and normal fluid. The mutual friction mode occurs at high wavenumbers, which are stable wavenumbers in classical plane Poiseuille flow. A high superfluid vortex line density alone is not enough to induce instability in normal fluid; a localization of vortex lines is shown to play a major role. The extent of vortex line concentration required to cause instability depends on the density itself. Non-modal instability analysis shows that oblique waves are stronger than streamwise waves, unlike the scenario in classical plane Poiseuille flow.

JFM classification

Complex Fluids: Complex Fluids Instability: Instability Complex Fluids: Quantum fluids
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 720 , 10 April 2013 , R1
Copyright
©2013 Cambridge University Press

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