Bulletin of the American Physical Society
APS March Meeting 2023
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session N00: Poster Session II (11am-2pm PST)
Wednesday, March 8, 2023
Room: Exhibit Hall (Forum Ballroom)
Sponsoring Unit: APS
Abstract: N00.00254 : Dynamics and Transportation Mechanism in Two-Coupled Large-Scale Circulations ---A Novel Theoretical Approach*
Based on single-roll LSC model BA07 , taking volume average of physically important terms rooted in Navier-Stocks (NS) equations, we formulate a modified one to account for double-layer LSC dynamics and coupling mechanism, i.e., thermal coupling and viscous coupling, in two-layer fluid system. The updated model  contains four stochastic ordinary differential equations to describe two degrees of freedom of each roll. We numerically calculate these equations and obtain the probability distribution function (P.D.F) of relatively azimuthal orientation. The results of numerical calculation on the stochastic model are in good accordance with previous experiment results in two-layer RBC , which shows a peak around zero degrees and a small one close to Pi. It can be concluded that, in a two-layered system consisting of heavy fluid in the lower layer and a light fluid as the upper layer, the rolls prefer to stay in the thermal coupled mode, which may have broad implications in a wide-spread of physics problems.
*This work was supported by NSFC grants No.12174287.
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