How wide must Rayleigh–Bénard cells be to prevent finite aspect ratio effects in turbulent flow?

Richard J.A.M. Stevens*, Robert Hartmann, Roberto Verzicco, Detlef Lohse

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

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Abstract

We employ direct numerical simulations to investigate the heat transfer and flow structures in turbulent Rayleigh–Bénard convection in both cylindrical cells and laterally periodic domains, spanning an unprecedentedly wide range of aspect ratios 0.075⩽Γ⩽32. We focus on Prandtl number Pr=1 and Rayleigh numbers Ra=2×107 and Ra=108. In both cases, with increasing aspect ratio, the heat transfer first increases, then reaches a maximum (which is more pronounced for the cylindrical case due to confinement effects), and then slightly goes down again before it finally saturates at the large aspect ratio limit, which is achieved already at Γ≈4. Already for Γ≳0.75, the heat transfers in both cylindrical and laterally periodic domains become identical. The large-Γ limit for the volume-integrated Reynolds number and the boundary layer thicknesses are also reached at Γ≈4. However, while the integral flow properties converge at Γ≈4, the confinement of a cylindrical domain impacts the temperature and velocity variance distributions up to Γ≈16, as thermal superstructures cannot form close to the sidewall.
Original languageEnglish
Article numberA58
JournalJournal of fluid mechanics
Volume1000
Early online date27 Nov 2024
DOIs
Publication statusPublished - 10 Dec 2024

Keywords

  • UT-Hybrid-D
  • Computational fluid dynamics (CFD)
  • High performance computing (HPC)
  • Heat transfer
  • Thermal convection
  • Boundary layer
  • Turbulence
  • Rayleigh-Benard convection
  • Direct numerical simulations (DNS)

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