Slow, steady ascent in a power-law fluid with temperature-dependent viscosity

M. Vynnycky, M. A. O'Brien

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we consider the problem of a hot buoyant spherical body with a zero-traction surface ascending through a power-law fluid that has temperature-dependent viscosity. Significant analytical progress is possible for four asymptotic regimes in terms of two dimensionless parameters: the Péclet number, Pe, and a viscosity variation parameter, ε{lunate}. For mild viscosity variations, Levich's classical result for an isoviscous Newtonian fluid is generalized; more severe viscosity variations lead to an involved four-regime asymptotic structure that has similarities with that found for a Newtonian fluid with temperature-dependent viscosity.

Original languageEnglish
Pages (from-to)9-18
Number of pages10
JournalJournal of Non-Newtonian Fluid Mechanics
Volume195
DOIs
Publication statusPublished - May 2013

Keywords

  • Asymptotics
  • Slow flow
  • Temperature-dependent viscosity

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