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Buoyant-thermocapillary convection of moderate prandtl number fluid[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(3): 266-271. DOI: 10.6052/0459-1879-2005-3-2004-312
Citation: Buoyant-thermocapillary convection of moderate prandtl number fluid[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(3): 266-271. DOI: 10.6052/0459-1879-2005-3-2004-312
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Buoyant-thermocapillary convection of moderate prandtl number fluid

  • 重庆大学动力工程学院,重庆 400044

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  • In order to understand the nature ofbuoyant-thermocapillary convection in an annular pool with the outer heatedcontainer of radius ro=40 mm and the inner cooled cylinder ofri=20 mm, and an adjustable depth d=3~17 mm, we conducted a series ofunsteady three-dimensional numerical simulations with the finite differencemethod. The pool was filled with the 0.65cSt silicone oil (Prandtl numberPr=6.7). Results show that a small temperature difference in the radialdirection generates steady roll-cell buoyant-thermocapillary flow. Withlarge temperature difference, the simulations can predict two types of flowinstability. In a shallow pool (d=3 mm), the hydrothermal wave characterizedby curved spokes traveling in the azimuthal direction is dominant while indeep pools (d≥6 mm), the three-dimensional stationary instabilityappears. The critical conditions for the onset of the instability flows andthe free surface temperature fluctuation are determined and compared withthe experimental results.
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