Numerical Study of Bidimensional Steady Natural Convection in a Space Annulus Between Two Elliptic Confocal Ducts Influence of the InternaI Eccentricity

The authors express the Boussinesq equations of the laminar thermal and natural
convection, in the case of permanent and bidimensional jlow, in an annular space between two
confocal elliptic cylinders. A new calculation code using the finite volumes with the primitive
functions (velocity-pressure formulation) and the elliptic coordinates system is proposed. The
Prandtl number isfixed at 0.7 (case of the air) with varying the Rayleigh number. The efJect of the
geometry of the interior elliptic cylinder on the results is examined.

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