A note on the stability of slip channel flows
We consider the influence of slip boundary conditions on the modal and nonmodal stability of pressure-driven channel flows. In accordance with previous results by Gersting [“Hydrodynamic stability of plane porous slip flow,” Phys. Fluids 17, 2126 (1974)] but in contradiction with the recent investig...
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Published in | Physics of fluids (1994) Vol. 17; no. 8; pp. 088106 - 088106-4 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Melville, NY
American Institute of Physics
01.08.2005
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Subjects | |
Online Access | Get full text |
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Summary: | We consider the influence of slip boundary conditions on the modal and nonmodal stability of pressure-driven channel flows. In accordance with previous results by Gersting [“Hydrodynamic stability of plane porous slip flow,” Phys. Fluids
17, 2126 (1974)] but in contradiction with the recent investigation of Chu [“Instability of Navier slip flow of liquids,” C. R. Mec.
332, 895 (2004)], we show that the slip increases significantly the value of the critical Reynolds number for linear instability. The nonmodal stability analysis, however, reveals that slip has a very weak influence on the maximum transient energy growth of perturbations at subcritical Reynolds numbers. Slip boundary conditions are therefore not likely to have a significant effect on the transition to turbulence in channel flows. |
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ISSN: | 1070-6631 1089-7666 |
DOI: | 10.1063/1.2032267 |