, Volume 20, Issue 1, pp 1-12
Date: 16 Feb 2011

Numerical analysis of nonsteady-state conjugate natural convection between two concentric spheres

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Abstract

Mathematical modeling of the regimes of free convection heat transfer between two concentric spheres is performed. The temperature of the internal sphere is constant during the whole process; the external sphere with a heat-conducting enclosure of finite thickness is affected by the surrounding medium. The boundary-value problem is formulated based on the mass, momentum, and energy conservation laws in dimensionless stream function-velocity vorticity vector-temperature variables in spherical coordinates. The obtained distributions of temperature and streamlines represent the effect of both energy source and environment on the flow regimes and the heat transfer.