Effects of thermal boundary condition on convection in rapidly rotating spherical shells

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

Research output: Contribution to journalConference article

3 Citations (Scopus)

Abstract

Two-dimensional thermal convection in a rotating cylindrical annulus under a fixed heat flux boundary condition is examined in order to consider the effects of thermal boundary condition on convection in rapidly rotating spherical shells. Nonlinear numerical calculations show the existence of a state where convection cells with a small horizontal scale are superimposed in cells with a large horizontal scale in the case of a constant coefficient of topographic β effect. However, when the effect of a spherical boundary is included, small scale cells in a large clockwise circulation disappear and they exists only in a large anti-clockwise circulation. Such asymmetric emergence of small scale cells is consistent with the expectation by Orr mechanism. The linear stability analyses of a three-dimensional system of rotating spherical shells also suggest the emergence of convection cells with a large horizontal scale under the fixed heat flux condition.

Original languageEnglish
Pages (from-to)415-421
Number of pages7
JournalTheoretical and Applied Mechanics
Volume48
Publication statusPublished - Dec 1 1999
EventProceedings of the 1999 48th Japan National Congress on Theoretical and Applied Mechanics (NCTAM) - Tokyo, Jpn
Duration: Jan 25 1999Jan 27 1999

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Spherical Shell
spherical shells
Convection
Rotating
convection
Boundary conditions
boundary conditions
Cell
convection cells
Horizontal
Heat flux
Heat Flux
heat flux
cells
Anticlockwise
Clockwise
Thermal Convection
annuli
Linear Stability
Ring or annulus

All Science Journal Classification (ASJC) codes

  • Mechanics of Materials

Cite this

Effects of thermal boundary condition on convection in rapidly rotating spherical shells. / Takehiro, Shin Ichi; Ishiwatari, Masaki; Nakajima, Kensuke; Hayashi, Yoshi Yuki.

In: Theoretical and Applied Mechanics, Vol. 48, 01.12.1999, p. 415-421.

Research output: Contribution to journalConference article

Takehiro, Shin Ichi ; Ishiwatari, Masaki ; Nakajima, Kensuke ; Hayashi, Yoshi Yuki. / Effects of thermal boundary condition on convection in rapidly rotating spherical shells. In: Theoretical and Applied Mechanics. 1999 ; Vol. 48. pp. 415-421.
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