Force and torque on a cylinder rotating in a narrow gap at low Reynolds number: Scaling and lubrication analyses

J. Yang, C. W. Wolgemuth, G. Huber

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

The hydrodynamic forces and torques on a rotating cylinder in a narrow channel are investigated in this paper using lubrication analysis and scaling analysis. To explore the effect of the shape of the gap, three different geometries are considered. The force and torque expressions from lubrication analysis agree well with numerical solutions when the gap between cylinder and wall is small. The solutions from scaling analysis can be applied over a broader range, but only if the scaling coefficients are properly deduced from numerical solution or lubrication analysis. Self-similarity in the solutions is discussed as well.

Original languageEnglish (US)
Article number051901
JournalPhysics of Fluids
Volume25
Issue number5
DOIs
StatePublished - May 20 2013
Externally publishedYes

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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