Motion of a gas bubble inside a spherical liquid container with a vertical temperature gradient

Lawrence S. Mok, Kyekyoon Kim

Research output: Contribution to journalArticlepeer-review

Abstract

The steady-state motion of a gas bubble inside a non-isothermal, spherical, liquid-filled container is described by taking into account the effects of gravity, the thermally induced gradient of the gas-liquid interfacial tension, and the finite size of the liquid container. The flow fields inside and outside the bubble located at the center of the container are calculated using a low-Reynolds-number approximation of the fluid equations. The temperature fields are determined by using a low-Prandtl-number approximation of the heat equations. A general expression is obtained for the steady-state migration velocity of the bubble which, under certain conditions, reduces to expressions previously derived by a number of investigators. Finally, an expression for the vertical temperature gradient that will maintain a stationary gas bubble at the center of the container is formulated.

Original languageEnglish (US)
Pages (from-to)521-531
Number of pages11
JournalJournal of Fluid Mechanics
Volume176
DOIs
StatePublished - Mar 1987

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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