Natural convection between concentric cylinders

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Introduction

Another classical fluid flow benchmark is that of natural convection heat transfer in the annular space between concentric cylinders. This problem was first studied numerically by Kuehn and Goldstein (1975) using a stream function-vorticity formulation of the Navier-Stokes equations.

Figure 1: Schematic diagram for the concentric cylinder geometry.

Sources

Kuehn, T. H., and R. J. Goldstein. "An experimental and theoretical study of natural convection in the annulus between horizontal concentric cylinders." Journal of Fluid mechanics 74, no. 4 (1976): 695-719.