球状キャビティにおける過渡自然対流

概要

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A fast numerical simulation procedure is proposed to simulate transient natural convection heat transfer in a spherical cavity, where the fluid is initially at rest and then the wall is subject to a step change of temperature. By decomposing temperature, vorticity multiplied by a radius, and a function related to an axisymmetric stream function into Fourier series of latitude, the equation of vorticity transportation, the equation of energy, and the equation of continuity can be separated into Fourier components of the same kind, so that the system of equations constructed can numerically be integrated independently of each other for different components, using implicit schemes. As a result, this procedure can predict not only the time required to reduce the temperature difference at the center to one half of the initial temperature difference but also the oscillation of the temperature at the center in the case of a high Grashof number flow.
一般社団法人日本機械学会の論文
1987-10-25