Heat transport measurements in turbulent rotating Rayleigh-Benard convection

Abstract

We present experimental heat transport measurements of turbulent Rayleigh-Bénard convection with rotation about a vertical axis. The fluid, water with Prandtl number ($\sigma$) about 6, was confined in a cell which had a square cross section of 7.3 cm$\times$7.3 cm and a height of 9.4 cm. Heat transport was measured for Rayleigh numbers $2\times 10^5<$ Ra $<5\times 10^8$ and Taylor numbers $0<$ Ta $<5\times 10^9$. We show the variation of normalized heat transport, the Nusselt number, at fixed dimensional rotation rate ${\Omega }_D$, at fixed Ra varying Ta, at fixed Ta varying Ra, and at fixed Rossby number Ro. The scaling of heat transport in the range $10^7$ to about $10^9$ is roughly 0.29 with a Ro dependent coefficient or equivalently is also well fit by a combination of power laws of the form $aR{a}^{1/5}+bR{a}^{1/3}$. The range of Ra is not sufficient to differentiate single power law or combined power law scaling. The overall impact of rotation on heat transport in turbulent convection is assessed.

16 pages, 12 figures

References in corpus (3)

• Large scale dynamics in turbulent Rayleigh-Benard convection
• Structure and Evolution of Giant Cells in Global Models of Solar Convection
• Prandtl-, Rayleigh-, and Rossby-number dependence of heat transport in turbulent rotating Rayleigh-Benard convection

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