Natural convection in narrow-gap, spherical annuli (Q1077287)

The subject of this paper is natural convection of fluid contained within narrow-gap, spherical annuli. The flows are presumed to be steady and the fluid is assumed to follow the Oberbeck-Boussinesq model. With the gap being very small relative to the outer sphere's radius, the dependent variables are solved for by using a regular perturbation method in powers of the relative gap width, \(\epsilon\). Solutions were found for a heated outer sphere through terms of order \(\epsilon^{11}\).