Linear oscillations of axisymmetric viscous liquid bridges

Nicolás, José A. and Vega de Prada, José Manuel (2000). Linear oscillations of axisymmetric viscous liquid bridges. "ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK (ZAMP)", v. 51 (n. 5); pp. 701-731. ISSN 0044-2275. https://doi.org/10.1007/PL00001516.

Description

Title: Linear oscillations of axisymmetric viscous liquid bridges
Author/s:
  • Nicolás, José A.
  • Vega de Prada, José Manuel
Item Type: Article
Título de Revista/Publicación: ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK (ZAMP)
Date: 2000
ISSN: 0044-2275
Volume: 51
Subjects:
Freetext Keywords: 76E99, 76D05, 76D45, 76M25. Surface-tension-driven instability, viscous damping, liquid bridges, linear oscillations.
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Small amplitude free oscillations of axisymmetric capillary bridges are considered for varying values of the capillary Reynolds number C-1 and the slenderness of the bridge Λ . A semi-analytical method is presented that provides cheap and accurate results for arbitrary values of C-1 and Λ ; several asymptotic limits (namely, C>> 1, C>>1, Λ >> 1 \ {and} \ |π -Λ |>> 1 ) are considered in some detail, and the associated approximate results are checked. A fairly complete picture of the (fairly complex) spectrum of the linear problem is obtained for varying values of C and Λ . Two kinds of normal modes, called capillary and hydrodynamic respectively, are almost always clearly identified, the former being associated with free surface deformation and the latter, only with the internal flow field; when C is small the damping rate associated with both kind of modes is comparable, and the hydrodynamic ones explain the appearance of secondary (steady or slowly-varying) streaming flows

More information

Item ID: 6010
DC Identifier: http://oa.upm.es/6010/
OAI Identifier: oai:oa.upm.es:6010
DOI: 10.1007/PL00001516
Official URL: http://www.springerlink.com/content/a21xdgmgmd890d2b/
Deposited by: Memoria de Investigacion 2
Deposited on: 15 Feb 2011 11:27
Last Modified: 20 Apr 2016 14:40
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