A numerical analysis of free convection around an isothermal sphere. Effects of space and prandtl number

Hiroshi Takamatsu, Motoo Fujii, Tetsu Fujii

研究成果: Contribution to journalArticle査読

1 被引用数 (Scopus)

抄録

Numerical solutions of full Navier-Stokes and energy equations for two dimensional laminar free convection between two concentric spheres are obtained for Pr=0.7~120, Ra=1~103 and radius ratios of outer to inner spheres r2/r1=560. With decrease of r2/r1, the heat transfer coefficient for the inner sp. here decreases first due to suppression of convective flow and then increases as the conduction heat transfer becomes predominant. For Pr=0.7 and Ra=1, the heat transfer coefficient at r2/r1≥60 can be regarded as that for a single sphere immersed in an infinite medium. The higher the Rayleigh number, the smaller the radius ratio at which the Nusselt number can be regarded as that for a single sp. here. An accurate expression of the Nusselt number is proposed. An expression for the relation among drag force induced by free convection flow, Rayleigh number and Prandtl number is also presented.

本文言語英語
ページ(範囲)1314-1319
ページ数6
ジャーナルTransactions of the Japan Society of Mechanical Engineers Series B
53
488
DOI
出版ステータス出版済み - 1987

All Science Journal Classification (ASJC) codes

  • 凝縮系物理学
  • 機械工学

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