Prandtl-, Rayleigh-, and Rossby-number dependence of heat transport in turbulent rotating Rayleigh-Benard convection

摘要

For given aspect ratio and given geometry, the nature of Rayleigh Benard convection (RBC) is determined by the Rayleigh number Ra = βgΔL~3/(κv) and by the Prandtl number Pr = v/κ. Here, β is the thermal expansion coefficient, g the gravitational acceleration, Δ = T-b-T_t the difference between the imposed temperatures T_b and T_t at the bottom and the top of the sample, respectively, and v and κ the kinematic viscosity and the thermal diffusivity, respectively. The rotation rate Ω (given in rad/s) is used in the form of the Rossby number Ro= βgΔ/L~(1/2)/(2Ω).