Bounds on heat flux for Rayleigh-Benard convection between Navier-slip fixed-temperature boundaries
Bounds on heat flux for Rayleigh-Benard convection between Navier-slip fixed-temperature boundaries
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DOI：
10.1098/rsta.2021.0025
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发表时间：
2022-06-13
期刊：
影响因子：
5
通讯作者：
Nobili, Camilla
中科院分区：
文献类型：
--
作者：
Drivas, Theodore D.;Nguyen, Huy Q.;Nobili, Camilla
我们研究了二维Rayleigh-Benard对流与Navier滑移，固定温度边界条件，并建立边界上的Nusselt数。由于滑移长度随瑞利数Ra而变化，因此该估计值在自由滑移条件下由Ra 5/12限定的Whitehead-Doering边界之间插值（Whitehead & Doering. 2011年自由滑动固定温度边界之间二维瑞利-贝纳德对流的极限状态。物理修订信函106，244501）和经典Doering-Constantin Ra-1/2界（Doering & Constantin. 1996不可压缩流中能量耗散的变分边界。三.对流。E53，5957-5981）。
We study two-dimensional Rayleigh-Benard convection with Navier-slip, fixed temperature boundary conditions and establish bounds on the Nusselt number. As the slip-length varies with Rayleigh number Ra, this estimate interpolates between the Whitehead-Doering bound by Ra5/12 for free-slip conditions (Whitehead & Doering. 2011 Ultimate state of two-dimensional Rayleigh-Benard convection between free-slip fixed-temperature boundaries. Phys. Rev. Lett. 106, 244501) and the classical Doering-Constantin Ra-1/2 bound (Doering & Constantin. 1996 Variational bounds on energy dissipation in incompressible flows. III. Convection. Phys. Rev. E 53, 5957-5981).