Confined rotating convection with large Prandtl number

Centrifugal effects on wall modes

Jezabel Curbelo, Juan Lopez, Ana M. Mancho, Francisco Marques

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Thermal convection in a rotating cylinder with a radius-to-height aspect ratio of Γ=4 for fluids with large Prandtl number is studied numerically. Centrifugal buoyancy effects are investigated in a regime where the Coriolis force is relatively large and the onset of thermal convection is in the so-called wall modes regime, where pairs of hot and cold thermal plumes ascend and descend in the cylinder sidewall boundary layer, forming an essentially one-dimensional pattern characterized by the number of hot and cold plume pairs. In our numerical study, we use the physical parameters corresponding to aqueous mixtures of glycerine with mass concentration in the range of 60%-90% glycerine and a Rayleigh number range that extends from the threshold for wall modes up to values where the bulk fluid region is also convecting. The study shows that for the range of Rayleigh numbers considered, the local variations in viscosity due to temperature variation in the flow are negligible. However, the mean viscosity, which varies faster than exponentially with variations in the percentage of glycerine, leads to a faster than exponential increase in the Froude number for a fixed Coriolis force, and hence an enhancement of the centrifugal buoyancy effects with significant dynamical consequences, which are detailed.

Original languageEnglish (US)
Article number013019
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume89
Issue number1
DOIs
StatePublished - Jan 23 2014

Fingerprint

Prandtl number
Convection
Coriolis Force
Thermal Convection
Rotating
convection
Rayleigh number
Buoyancy
buoyancy
free convection
plumes
Viscosity
Range of data
viscosity
Fluid
rotating cylinders
Froude number
fluids
Aspect Ratio
Percentage

ASJC Scopus subject areas

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

Cite this

Confined rotating convection with large Prandtl number : Centrifugal effects on wall modes. / Curbelo, Jezabel; Lopez, Juan; Mancho, Ana M.; Marques, Francisco.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 89, No. 1, 013019, 23.01.2014.

Research output: Contribution to journalArticle

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