Abstract
We derive upper bounds for the Nusselt number in infinite Prandtl number rotating convection. The bounds decay alge-braically with Taylor number to the conductive heat transport value; the decay rate depends on boundary conditions. We show moreover that when the rotation is fast enough the purely conductive solution is the globally and nonlinearly attractive fixed point; the critical rotation rate also depends on boundary conditions. The influence of the boundary conditions is explained physically in terms of Ekman layers.
Original language | English (US) |
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Pages (from-to) | 275-284 |
Number of pages | 10 |
Journal | Physica D: Nonlinear Phenomena |
Volume | 125 |
Issue number | 3-4 |
DOIs | |
State | Published - 1999 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics
Keywords
- Convection
- Turbulence