Exploring the severely con fined regime in Rayleigh-Benard convection
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AbstractWe study the effect of severe geometrical confinement in Rayleigh-Benard convection with a wide range of width-to-height aspect ratio, 1 <= 128 <= Gamma 1, and Rayleigh number Ra, 3 x 10(4) <= Ra <= 1 x 10(11), at a fixed Prandtl number of Pr = 4 : 38 by means of direct numerical simulations in Cartesian geometry with no-slip walls. For convection under geometrical confinement (decreasing Gamma from 1), three regimes can be recognized (Chong et al., Phys. Rev. Lett., vol. 115, 2015, 264503) based on the global and local properties in terms of heat transport, plume morphology and flow structures. These are Regime I: classical boundary-layer-controlled regime; Regime II: plume-controlled regime; and Regime III: severely confined regime. The study reveals that the transition into Regime III leads to totally different heat and momentum transport scalings and flow topology from the classical regime. The convective heat transfer scaling, in terms of the Nusselt number Nu, exhibits the scaling Nu - 1 similar to Ra-0.61 over three decades of Ra at Gamma = 1/128, which contrasts sharply with the classical scaling Nu - 1 similar to Ra-0.31 found at Gamma = 1. The flow in Regime III is found to be dominated by finger-like, long-lived plume columns, again in sharp contrast with the mushroom-like, fragmented thermal plumes typically observed in the classical regime. Moreover, we identify a Rayleigh number for regime transition, Ra* = (29.37/Gamma)(3.23), such that the scaling transition in Nu and Re can be clearly demonstrated when plotted against Ra/Ra*.
All Author(s) ListChong KL, Xia KQ
Journal nameJournal of Fluid Mechanics
Year2016
Month10
Volume Number805
PublisherCAMBRIDGE UNIV PRESS
PagesR4
ISSN0022-1120
eISSN1469-7645
LanguagesEnglish-United Kingdom
KeywordsBenard convection, Hele-Shaw flows, low-Reynolds-number flows
Web of Science Subject CategoriesMechanics;Physics, Fluids & Plasmas;Mechanics;Physics

Last updated on 2020-29-10 at 01:08