List of Figures

1. Cuboid domain geometry
2. Vapour transfer in a plane vertical square cavity
3. Energy transfer in a plane vertical square cavity
4. Profiles of $m$ and $T$ in the narrow cavity limit
5. Profiles of $v$ in the narrow cavity limit
6. Variation of $v$ with $N$ in the narrow cavity limit
7. Variation of $v$ with $c$ in the narrow cavity limit
8. Geometry and boundary conditions for Fastflo solutions
9. Vinokur's (1983) symmetric stretching function
10. A typical mesh for the Fastflo solutions
11. A sample Fastflo solution
12. Processed solution variables in Fastflo
13. Energy flux components
14. Energy transfer in the cavity: vectors and `heat-lines'
15. Contour plots from two Fastflo runs
16. Discrepancies between the Fastflo and analytic solutions
17. The effect of $\mathcal A$ on the conduction-diffusion regime
18. Penetration of convective effects into the core
19. Geometry for cavities of rectangular section
20. Fully developed buoyancy-induced flow
21. Stretched coordinates for regions near walls
22. The effect of the end-walls
23. Geometry for elliptic sections.
24. Fully developed buoyancy-induced flow in elliptic sections
25. Vorticity due to buoyancy at the section centre
26. Buoyancy-induced flow in the spanwise symmetry plane
27. Velocity maximum in rectangular sections
28. Cartesian axes for the spherical cavity
29. Temperature in the surrounding solid
30. Decomposition of a vector field
31. Zeroth order pressure
32. First order vapour mass fraction or temperature
33. Mass fraction or temperature to first order
34. First order stream-lines due to inertia
35. First order pressure due to inertia
36. First order stream-lines due to buoyancy
37. First order pressure due to buoyancy
38. Three-dimensional stream-lines in a spherical cavity
39. Three-dimensional stream-lines in a spherical cavity (cont.)