Deformation of a slender bubble in a non-Newtonian liquid in an extensional flow

Authors
Favelukis, M Nir, A
Citation
M. Favelukis et A. Nir, Deformation of a slender bubble in a non-Newtonian liquid in an extensional flow, CHEM ENG SC, 56(15), 2001, pp. 4643-4648
Citations number
11
Categorie Soggetti
Chemical Engineering
Journal title
CHEMICAL ENGINEERING SCIENCE
ISSN journal
00092509 → ACNP
Volume
56
Issue
15
Year of publication
2001
Pages
4643 - 4648
Database
ISI
SICI code
0009-2509(200108)56:15<4643:DOASBI>2.0.ZU;2-6
Abstract
The deformation of a slender bubble in a non-Newtonian liquid in a simple e xtensional and creeping flow has been theoretically studied. Assuming a con stant pressure in the liquid, the deformation of the bubble is described by a single ordinary differential equation, which was solved numerically. Ana lytical expressions for the local radius were obtained near the center and close to the end of the bubble. The results for the shape of the bubble are presented as a function of the capillary number and type of liquid. (C) 20 01 Elsevier Science Ltd. All rights reserved.