Inertial Modes in a Rotating Horizontal Annulus with Boundaries of Different Temperatures and Their Effect on the Averaged Convection  

作　　者：Alexey Vjatkin Svyatoslav Petukhov Victor Kozlov 

机构地区：[1]Laboratory of Vibrational Hydromechanics,Perm State Humanitarian Pedagogical University,Perm,614990,Russia

出　　处：《Fluid Dynamics & Materials Processing》2025年第4期783-798,共16页流体力学与材料加工(英文)

基　　金：funded by the Ministry of Education of the Russian Federation within the framework of a state assignment,number 1023032300071-6-2.3.1.

摘　　要：Time-averaged thermal convection in a rotating horizontal annulus with a higher temperature at its inner boundary is studied.The centrifugal force plays a stabilizing role,while thermal convection is determined by the“thermovibrational mechanism”.Convective flow is excited due to oscillations of a non-isothermal rotating fluid.Thermal vibrational convectionmanifests in the form of two-dimensional vortices elongated along the axis of rotation,which develop in a threshold manner with an increase in the amplitude of fluid oscillations.The objective of the present study is to clarify the nature of another phenomenon,i.e.,three-dimensional convective vortices observed in the experiments both before the excitation of the convection described above and in the supercritical region.The experimental study of the oscillatory and the time-averaged flow fields by particle image velocimetry is accompanied by the theoretical research of inertial waves.It is found that three-dimensional fluid flows owe their origin to inertial waves.This is confirmed by a high degree of agreement between the experimental and theoretical results.Experiments with cavities of different lengths indicate that the vortices are clearly seen in cavities thatmeet the conditions of resonant excitation of inertial modes.Furthermore,the length of the cavity has no effect on heat transfer,which is explained by the comparatively low intensity of the wave-induced flows.The main contribution to heat transfer is due to vortices elongated along the axis of rotation.The novel results are of significant practical importance in various fields.

关 键 词：Thermal convection horizontal annulus ROTATION time-averaged convection inertial modes steady flows 

分 类 号：O357[理学—流体力学]