An optimal principle in fluid-structure interaction

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Abstract

We study the steady terminal orientation of a fore-aft symmetric body as it settles in a viscous fluid. An optimal principle for the settling behavior is discussed based upon entropy production in the system, both in the Stokes limit and the case of near equilibrium states when inertial effects emerge. We show that in the Stokes limit, the entropy production in the system is zero allowing any possible terminal orientation while in the presence of inertia, the particle assumes a horizontal position which coincides with the state of maximum entropy production. Our results are seen to agree well with experimental observations.

Original languageEnglish
Pages (from-to)2945-2951
Number of pages7
JournalPhysica D: Nonlinear Phenomena
Volume237
Issue number22
DOIs
StatePublished - 15 Nov 2008

Keywords

  • Entropy production
  • Fluid-structure interaction
  • Orientation

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