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Patterns of a creeping water-spout flow

Published online by Cambridge University Press:  10 March 2014

Miguel Herrada  and
Vladimir Shtern
Miguel Herrada*
Affiliation:
E. S. I., Universidad de Sevilla, Camino de los Descubrimientos s/n 41092, Spain
Vladimir Shtern
Affiliation:
Shtern Research and Consulting, Houston, TX 77096, USA
*
†Email address for correspondence: [email protected]
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Abstract

This paper explains a mechanism of eddy formation in a slow air–water motion, driven by the rotating top disk, in a vertical sealed cylinder. The numerical simulations reveal nine changes in the flow topology as water volume fraction $H_{w}$ varies from 0 to 1. At $H_{w}$ around 0.8, there are two large regions of the clockwise meridional circulation, one in air and one in water. These regions are separated by two small cells of the anticlockwise circulation adjacent to the interface near the sidewall in water and near the axis in air. The air cell is a thin layer and topologically is a bubble–ring for $0.745 < H_{w} < 0.785$. Alterations of this flow pattern are explored as (i) pressure increases, (ii) the bottom disk co-rotates and (iii) the top-disk rotation speeds up. This paper provides the physical reasoning behind the flow transformations; the results are of fundamental interest and can be utilized in bioreactors.

JFM classification

Multiphase and Particle-laden Flows: Multiphase flow Vortex Flows: Vortex dynamics Vortex Flows: Vortex Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 744 , 10 April 2014 , pp. 65 - 88
Copyright
© 2014 Cambridge University Press 

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