Steady thermal convection in a rotating horizontal annulus

Abstract eng:
We study theoretically and experimentally the thermal convection of liquid in a quickly rotating horizontal annulus with isothermal boundaries of different temperatures. Experiments show that the convection manifests itself in a threshold excitation of two-dimensional vortexes parallel to the cavity axis in both cases, when heating from inside and outside. It is demonstrated that the convection is determined by two mechanisms, centrifugal and “thermovrbrational”. The last one appears due to a mean effect of oscillations of nonisothermal liquid in the cavity frame caused by gravity. We present the results of the linear stability analysis and nonlinear numerical simulation based on the equations of a thermovibrational convection obtained by the method of averaging. Experimental and theoretical results match up on a plane of the governing dimensionless parameters, centrifugal Rayleigh number and vibrational parameter.

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