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Cited by 72Fluid Dynamics and Turbulent FlowsFluid dynamics and aerodynamics studiesRheology and Fluid Dynamics Studies

The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.

Convective Instabilities in Plane Couette Flow

Ingersoll, Andrew P.·1966·The Physics of Fluids
DOI 10.1063/1.1761733
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Abstract

The stability to infinitesimal disturbances of plane Couette flow is considered in the presence of a negative vertical temperature gradient. The fluid is contained between horizontal planes which are maintained at different temperatures. The flow becomes unstable at the critical Rayleigh number for convection without shear. Below this critical Rayleigh number, the flow is stable in the limit of large and small Reynolds numbers. Numerical solutions at finite Reynolds numbers are given for stationary and traveling disturbances at Prandtl numbers equal to ten and infinity. For these cases, the flow appears stable at subcritical Rayleigh numbers, for all Reynolds numbers.

Overview

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Registry

Crossref · 10.1063/1.1761733

Cites

10 of 10 references verified0 citation errors · 0 not checkable

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Claims other papers make about this one

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  • The stability of longitudinal rolls is unaffected by shear, whereas the critical Rayleigh number for transverse rolls is increased by shear.

    “This work has shown that the stability of longitudinal rolls, whose axes lie in the direction of the shearing flow, is unaffected by the shear, whereas the critical Rayleigh number for the onset of convection as transverse rolls is increased by the shear flow.”

    From Speculations on the Thermal and Tectonic History of the Earth (2007) · cites this paper as Ingersoll 1966

Citations

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Research works printed but not linked: 4

  1. 1938, Proc. Roy. Soc. (London), A164, 231
  2. 1965, Proc. Roy. Soc. (London), A286, 117
  3. 1940, Proc. Roy. Soc. (London), A176, 312
  4. 1914, Ann. Physik, 44, 1

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Metadata

Authors
Ingersoll, A. P.
Affiliations
Harvard University (US)
Corresponding author
Ingersoll, Andrew P.
ORCID
Ingersoll, Andrew P.
Venue
The Physics of Fluids
Publisher
AIP Publishing
Published
1966-04-01
Volume
9
Issue
4
Pages
682-689
ISSN
0031-9171 (ISSN-L)
DOI
10.1063/1.1761733
OpenAlex
W2054790021
Cited by
72
References
10
Citations by year
2025: 2 · 2024: 1 · 2023: 4 · 2022: 3 · 2021: 2 · 2020: 2 · 2016: 1 · 2014: 1 · 2013: 1 · 2012: 1
FWCI
3.32
Type
journal article
Language
en
Open access
closed
Locations
  • The Physics of Fluids (publishedVersion)
  • CaltechAUTHORS (California Institute of Technology) (submittedVersion)
Topics
  • Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
  • Physical Sciences › Engineering › Computational Mechanics › Fluid dynamics and aerodynamics studies
  • Physical Sciences › Chemical Engineering › Fluid Flow and Transfer Processes › Rheology and Fluid Dynamics Studies
Keywords
plane Couette flow, convective instability, Rayleigh-Bénard convection, critical Rayleigh number, stationary disturbances, finite Reynolds number, Prandtl number effects, hydrodynamic stability

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