Linear stability of thermal convection in rotating systems with fixed heat flux boundaries

Shin Ichi Takehiro, Masaki Ishiwatari, Kensuke Nakajima, Yoshi Yuki Hayashi

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Linear stability of rotating thermal convection in a horizontal layer of Boussinesq fluid under the fixed heat flux boundary condition is examined by the use of a vertically truncated system up to wavenumber one. When the rotation axis is in the vertical direction, the asymptotic behavior of the critical convection for large rotation rates is almost the same as that under the fixed temperature boundary condition. However, when the rotation axis is horizontal and the lateral boundaries are inclined, the mode with zero horizontal wavenumber remains as the critical mode regardless of the rotation rate. The neutral curve has another local minimum at a nonzero horizontal wavenumber, whose asymptotic behavior coincides with the critical mode under the fixed temperature condition. The difference of the critical horizontal wavenumber between those two geometries is qualitatively understood by the difference of wave characteristics; inertial waves and Rossby waves, respectively.

Original languageEnglish
Pages (from-to)439-459
Number of pages21
JournalGeophysical and Astrophysical Fluid Dynamics
Volume96
Issue number6
DOIs
Publication statusPublished - Dec 1 2002

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thermal convection
free convection
heat flux
Heat flux
boundary condition
Boundary conditions
boundary conditions
Rossby wave
planetary waves
temperature
convection
geometry
Temperature
Fluids
Geometry
fluid
Hot Temperature
Convection
fluids
curves

All Science Journal Classification (ASJC) codes

  • Geochemistry and Petrology
  • Geophysics
  • Mechanics of Materials
  • Computational Mechanics
  • Astronomy and Astrophysics
  • Space and Planetary Science

Cite this

Linear stability of thermal convection in rotating systems with fixed heat flux boundaries. / Takehiro, Shin Ichi; Ishiwatari, Masaki; Nakajima, Kensuke; Hayashi, Yoshi Yuki.

In: Geophysical and Astrophysical Fluid Dynamics, Vol. 96, No. 6, 01.12.2002, p. 439-459.

Research output: Contribution to journalArticle

Takehiro, Shin Ichi ; Ishiwatari, Masaki ; Nakajima, Kensuke ; Hayashi, Yoshi Yuki. / Linear stability of thermal convection in rotating systems with fixed heat flux boundaries. In: Geophysical and Astrophysical Fluid Dynamics. 2002 ; Vol. 96, No. 6. pp. 439-459.
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