The dynamics of bubbles in periodic vortex flowss

Tio, K.K. and Lasheras, Juan C. and Gañan Calvo, Alfonso Miguel and Liñán Martínez, Amable (1993). The dynamics of bubbles in periodic vortex flowss. "Applied Scientific Research", v. 51 ; pp. 285-290. ISSN 0003-6994.


Title: The dynamics of bubbles in periodic vortex flowss
  • Tio, K.K.
  • Lasheras, Juan C.
  • Gañan Calvo, Alfonso Miguel
  • Liñán Martínez, Amable
Item Type: Article
Título de Revista/Publicación: Applied Scientific Research
Date: 1993
Volume: 51
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Motopropulsión y Termofluidodinámica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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To analyze the dynamics of small, spherical, rigid bubbles in a certain class of turbulent shear flows dominated by large scale coherent vortical structures, we model the plane free shear layer with a periodic array of Stuart vortices. The equation of motion of the bubbles is then integrated numerically to obtain the Lagrangian description of the bubbles, the long-term dynamics of which depends on the free-stream Reynolds number, the Stokes number, the gravitational field, and the strength of the vortices. Depending on the values of these four parameters, it is found that either there exists a stable equilibrium point near the center of each vortex, where bubble accumulation occurs, or all bubbles escape from captivity by the vortices. In the limiting case of dominant viscous drag forces, an Eulerian description of the "bubble flow field" is derived. Furthermore, the divergence of this flow field is negative in the neighborhood of a vortex center, where it achieves its minimum. This indicates that bubbles accumulation may indeed exist, and thus qualitatively confirms the more general numerical results obtained without the assumption of dominant viscous drag forces.

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Item ID: 1428
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Deposited by: Biblioteca ETSI Aeronauticos
Deposited on: 10 Mar 2009
Last Modified: 20 Apr 2016 06:49
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