Abstract

The governing equations for transient natural convection in eccentric annular space are solved with two highorder accurate numerical algorithms. The equation set is transformed into bipolar coordinates and split into two one-dimensional equations: finite elements are used in the direction normal to the cylinder surfaces; the pseudospectral technique is used in the azimuthal direction. Transient solutions of the entire flowfield are obtained for 102 </?a<106, 0.70<Pr<102, with the inner cylinder near the top, bottom, and side of the outer cylinder. Results are similar to experimental and numerical values previously published for low Ra numbers. A B c D e g

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