Bounds on heat flux for Rayleigh-Bénard convection between Navier-slip fixed-temperature boundaries

2021/09/27 by Theodore D. Drivas, Drivas, Theodore D., Huy Q. Nguyen +3
Engineering · Mathematics · #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Nanofluid Flow and Heat Transfer

paper · pdf · doi:10.48550/arxiv.2109.13205

Abstract

We study two-dimensional Rayleigh-Bénard convection with Navier-slip, fixed temperature boundary conditions and establish bounds on the Nusselt number. As the slip-length varies with Rayleigh number \rmRa, this estimate interpolates between the Whitehead-Doering bound by \rmRa^(5)/(12) for free-slip conditions [13] and the classical Doering-Constantin \rmRa^(1)/(2) bound [4].

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