Influence of container shape on scaling of turbulent fluctuations in convection

N. Foroozani, J. J. Niemela, V. Armenio, K. R. Sreenivasan

Research output: Contribution to journalArticle

Abstract

We perform large-eddy simulations of turbulent convection in a cubic cell for Rayleigh numbers, Ra, between 106 and 1010 and the molecular Prandtl number, Pr=0.7. The simulations were carried out using a second-order-accurate finite-difference method in which subgrid-scale fluxes of momentum and heat were both parametrized using a Lagrangian and dynamic Smagorinsky model. The scaling of the root-mean-square fluctuations of density (temperature) and velocity measured in the cell center are in excellent agreement with the scaling measured in the laboratory experiments of Daya and Ecke [Phys. Rev. Lett. 87, 184501 (2001)PRLTAO0031-900710.1103/PhysRevLett.87.184501] and differ substantially from that observed in cylindrical cells. We also observe the time-averaged spatial distributions of the local heat flux and density fluctuations, and find that they are strongly inhomogeneous in the horizontal midplane, with the largest density gradients occurring at the corners at the midheight, where hot and cold plumes mix in the form of strong counter-rotating eddies.

Original languageEnglish (US)
Article number063003
JournalPhysical Review E
Volume90
Issue number6
DOIs
StatePublished - Dec 8 2014

Fingerprint

Container
containers
Convection
convection
Scaling
Fluctuations
scaling
Cell
cells
Large Eddy Simulation
Rayleigh number
Prandtl number
large eddy simulation
Heat Flux
Spatial Distribution
dynamic models
Mean Square
Difference Method
plumes
heat flux

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Influence of container shape on scaling of turbulent fluctuations in convection. / Foroozani, N.; Niemela, J. J.; Armenio, V.; Sreenivasan, K. R.

In: Physical Review E, Vol. 90, No. 6, 063003, 08.12.2014.

Research output: Contribution to journalArticle

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