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Linear stability and energy growth of viscosity stratified flows

Hooper, Alison P.; Malik, Satish V.


Alison P. Hooper

Satish V. Malik


The non-normality of the Orr-Sommerfeld equation leads to the possibility of disturbance growth even though all eigenvalues are stable. In single-fluid flow the disturbance growth converges to a limit once the number of modes exceeds a minimum number. In the case of a two-fluid flow, however, convergence is not found. The problem of nonconvergence is due to the presence of the interface and the corresponding interfacial mode. The interface is replaced with a miscible layer of variable viscosity. When the thickness of the miscible layer is approximately equal to the thickness of the critical layer, the flow resembles two-fluid flow and one of the modes starts behaving like the interfacial mode. © 2005 American Institute of Physics.


Hooper, A. P., & Malik, S. V. (2005). Linear stability and energy growth of viscosity stratified flows. Physics of Fluids, 17(2), 1-8.

Journal Article Type Article
Publication Date Jan 1, 2005
Journal Physics of Fluids
Print ISSN 1070-6631
Publisher AIP Publishing
Peer Reviewed Not Peer Reviewed
Volume 17
Issue 2
Pages 1-8
Keywords linear stability, energy growth, viscosity stratified flow
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