球まわりの自由対流に関する数値解析 : 対流空間およびプラントル数の影響

概要

論文の詳細を見る
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=1〜10^3 and radius ratios of outer to inner spheres r_2/r_1=5~60. With decrease of r_2/r_1, 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 r_2/r_1≧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.
一般社団法人日本機械学会の論文
1987-04-25