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A new approach to the effect of sound on vortex dynamics
Two questions are asked, and answered, concerning the dynamics of vortex filaments in a three-dimensional slightly compressible fluid with constant sound speed: What is the flow (including the sound) ...

The convective nature of instability in plane Poiseuille flow

Phys. Fluids 30, 2303 (1987); doi:10.1063/1.866118

Issue Date: August 1987

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Robert J. Deissler
National Center for Atmospheric Research, Boulder, Colorado 80307-3000
By numerical solution of the Orr–Sommerfeld equation for complex frequency and complex wavenumber for a wide range of Reynolds numbers R and by asymptotic analysis for large R, it is shown that there is no absolute instability in a two-dimensional plane Poiseuille flow for any R and that the flow is convectively unstable for Rc <R<[infinity], where Rc is the critical Reynolds number. Physics of Fluids is copyrighted by The American Institute of Physics.
History: Received 6 April 1987; accepted 2 June 1987
Permalink: http://dx.doi.org/10.1063/1.866118
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KEYWORDS and PACS

Keywords
PACS
  • 47.20.-k
    Fluid dynamics Hydrodynamic stability
  • 47.25.Qv
    Fluid dynamics Turbulent flows, convection, and heat transfer Convection and heat transfer
  • 03.40.Gc
    Classical and quantum physics: mechanics and fields Classical mechanics of continuous media: general mathematical aspects Fluid dynamics: general mathematical aspects
  • 47.15.-x
    Fluid dynamics Laminar flows
  • YEAR: 1987

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PUBLICATION DATA

ISSN:
0031-9171 (print)   1089-7666 (online)
Publisher:
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REFERENCES (17)
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