Travelling wave convection in a rotating layer

Edgar Knobloch, Mary Silber

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

Abstract

Small amplitude twodimensional Boussinesq convection in a plane layer with stress-free boundaries rotating uniformly about the vertical is studied. A horizontally unbounded layer is modelled by periodic boundary conditions. When the centrifugal force is balanced by an appropriate pressure gradient the resulting equations are translation invariant, and overstable convection can take the form of travelling waves. In the Prandtl number regime 0.53 < σ < 0.68 such solutions are preferred over the more usual standing waves. For σ<0.53, travelling waves are stable provided the Taylor number is sufficiently large.

Original languageEnglish (US)
Pages (from-to)195-209
Number of pages15
JournalGeophysical & Astrophysical Fluid Dynamics
Volume51
Issue number1-4
DOIs
StatePublished - Mar 1990

Keywords

  • Convection
  • Takens-Bogdanov bifurcation
  • codimension-two bifurcation
  • rotating fluids

ASJC Scopus subject areas

  • Computational Mechanics
  • Astronomy and Astrophysics
  • Geophysics
  • Mechanics of Materials
  • Geochemistry and Petrology

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