On the dynamics of buoyant and heavy partióles in a periodic Stuart vortex flow

Tio, K.K.; Liñán Martínez, Amable; Lasheras, Juan C. y Gañan Calvo, Alfonso Miguel (1993). On the dynamics of buoyant and heavy partióles in a periodic Stuart vortex flow. "Journal of Fluid Mechanics", v. 254 ; pp. 671-699. ISSN 0022-1120.

Descripción

Título: On the dynamics of buoyant and heavy partióles in a periodic Stuart vortex flow
Autor/es:
  • Tio, K.K.
  • Liñán Martínez, Amable
  • Lasheras, Juan C.
  • Gañan Calvo, Alfonso Miguel
Tipo de Documento: Artículo
Título de Revista/Publicación: Journal of Fluid Mechanics
Fecha: 1993
Volumen: 254
Materias:
Escuela: E.T.S.I. Aeronáuticos (UPM) [antigua denominación]
Departamento: Motopropulsión y Termofluidodinámica [hasta 2014]
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

In this paper, we study the dynamics of small, spherical, rigid particles in a spatially periodic array of Stuart vórtices given by a steady-state solution to the two-dimensional incompressible Euler equation. In the limiting case of dominant viscous drag forces, the motion of the particles is studied analytically by using a perturbation scheme. This approach consists of the analysis of the leading-order term in the expansión of the 'particle path function' <P, which is equal to the stream function evaluated at the instantaneous particle position. It is shown that heavy particles which re-main suspended against gravity all move in a periodic asymptotic trajectory located above the vórtices, while buoyant particles may be trapped by the stable equilibrium points located within the vórtices. In addition, a linear map for <P is derived to describe the short-term evolution of particles moving near the boundary of a vortex. Next, the assumption of dominant viscous drag forces is relaxed, and linear stability analyses are carried out to investígate the equilibrium points of the five-parameter dynamical system governing the motion of the particles. The five parameters are the free-stream Reynolds number, the Stokes number, the fluid-to-particle mass density ratio, the distribution of vorticity in the flow, and a gravitational parameter. For heavy particles, the equilibrium points, when they exist, are found to be unstable. In the case of buoyant particles, a pair of stable and unstable equilibrium points exist simultaneously, and undergo a saddle-node bifurcation when a certain parameter of the dynamical system is varied. Finally, a computational study is also carried out by integrating the dynamical system numerically. It is found that the analytical and computational results are in agreement, provided the viscous drag forces are large. The computational study covers a more general regime in which the viscous drag forces are not necessarily dominant, and the effects of the various parametric inputs on the dynamics of buoyant particles are investigated.

Más información

ID de Registro: 1636
Identificador DC: http://oa.upm.es/1636/
Identificador OAI: oai:oa.upm.es:1636
Depositado por: Biblioteca ETSI Aeronauticos
Depositado el: 30 May 2009
Ultima Modificación: 20 Abr 2016 06:54
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