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Boussinesq approximation in the Rayleigh-Bénard problem

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Publication:1925271
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DOI10.1007/BF02079380zbMath0860.76033MaRDI QIDQ1925271

K. A. Nadolin

Publication date: 23 April 1997

Published in: Fluid Dynamics (Search for Journal in Brave)


zbMATH Keywords

linearizationsubcritical instabilityLyapunov-Schmidt methodOberbeck-Boussinesq approximationinfinite horizontal fluid layerthermal expansion parameter


Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15)


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Penetrative convection in the isothermally incompressible fluid approximation ⋮ Convection and heat/mass transfer processes under space flight conditions ⋮ Rigorous derivation of the Oberbeck-Boussinesq approximation revealing unexpected term



Cites Work

  • Accuracy of the Boussinesq approximation for an incompressible fluid
  • On oscillatory instability of plane-parallel convective motion in a vertical channel
  • The stability of finite amplitude cellular convection and its relation to an extremum principle
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