Hostname: page-component-745bb68f8f-5r2nc Total loading time: 0 Render date: 2025-01-08T05:24:18.589Z Has data issue: false hasContentIssue false
  • English
  • Français

Droplet deformation in dispersions with unequal viscosities and zero interfacial tension

Published online by Cambridge University Press:  12 January 2001

ERIC D. WETZEL  and
CHARLES L. TUCKER
ERIC D. WETZEL
Affiliation:
Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
CHARLES L. TUCKER
Affiliation:
Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

An analytical model is presented for the deformation of an ellipsoidal Newtonian droplet, suspended in another Newtonian fluid with different viscosity and zero interfacial tension. The theory is exact for any linear velocity field, and is not limited to small deformations. It encompasses some well-known special cases, such as Jeffery's equation for solid axisymmetric particles and Taylor's small-deformation theory for droplets. Example calculations exhibit droplet stretching, reorientation, and tumbling, and provide a reasonable match to available experimental data on transient and steady droplet shapes. The corresponding rheological theory for dilute dispersions is also derived, in a form that explicitly includes the effects of microstructure on dispersion rheology.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 426 , 10 January 2001 , pp. 199 - 228
Copyright
© 2001 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)