Bulletin of the American Physical Society
76th Annual Meeting of the Division of Fluid Dynamics
Sunday–Tuesday, November 19–21, 2023; Washington, DC
Session A23: Turbulent Convection
8:00 AM–9:57 AM,
Sunday, November 19, 2023
Room: 149AB
Chair: Peter Hamlington, University of Colorado Boulder
Abstract: A23.00002 : Turbulent natural convection in a differentially heated vertical channel: A theoretical study*
8:13 AM–8:26 AM
Presenter:
Emily S.C. Ching
(Chinese University of Hong Kong)
Author:
Emily S.C. Ching
(Chinese University of Hong Kong)
Nu≈[C2f(Pr)]1/3Pr-(1-2ε)/3Ra1/3 and Reτ≈[f(Pr)/C]1/3Pr-(1+ε)/3Ra1/3 in the high-Ra limit. Here, C is a constant, f(Pr) is a function of Pr that is not in the form of a power law and ε = 1/3 and 1, respectively for Pr ≫ 1 and Pr ≪ 1. We have tested our theoretical results using available direct numerical simulation (DNS) data for Pr≥1 and an excellent agreement is found. In contrast, the DNS data do not support the asymptotic laws of heat transfer and the mean maximum velocity obtained by a scaling approach in previous theoretical studies.
*The author acknowledges support from the Hong Kong Research Grants Council (Grants No. CUHK 14302419 and 14303623).
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