
Смещение предела устойчивости течений при наличии случайных флуктуаций скорости вращения
Author(s) -
Д.Ю. Жиленко,
О.Э. Кривоносова
Publication year - 2022
Publication title -
žurnal tehničeskoj fiziki
Language(s) - English
Resource type - Journals
eISSN - 1726-748X
pISSN - 0044-4642
DOI - 10.21883/jtf.2022.06.52506.22-22
Subject(s) - reynolds number , noise (video) , mechanics , physics , flow (mathematics) , compressibility , amplitude , nonlinear system , mathematics , classical mechanics , mathematical analysis , turbulence , optics , computer science , quantum mechanics , artificial intelligence , image (mathematics)
Nonlinear stability of the isothermal three-dimensional flows of viscous incompressible fluid in the rotational spherical layer with the noise presence was studied numerically. Transition between stable non-stationary flow and unstable flow in the form of travelling azimuthal waves is under consideration. Small-amplitude noise inserted to the flow by random broadband disturbances of the inner sphere rotational rate about constant at time averaged value, outer sphere is fixed. An approach is proposed to simplify finding the critical Reynolds number, corresponding to the stability limit in the presence of noise. The results obtained by the proposed and well known methods are compared.