On the asymptotic solution of the Maxey-Riley equation

E. Mograbi, E. Bar-Ziv

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


The Maxey-Riley [Phys. Fluids 26, 883 (1983)] particle equation of motion is considered without the history term and for an asymptotically small Stokes number. The equation admits a globally attractive invariant manifold identified as the Eulerian particle velocity field asymptotically close to the unperturbed fluid velocity field, thus suppressing the inconsequential initial transients. A recursive asymptotic scheme is obtained for the calculation of the invariant manifold in any order of accuracy. The dimension of the particle equation on the invariant manifold is reduced by half, which considerably facilitates the analysis of its motion in physical space. Structural stability theory provides comprehensive qualitative description of the particle motion.

Original languageEnglish
Article number051704
JournalPhysics of Fluids
Issue number5
StatePublished - 1 Jan 2006

ASJC Scopus subject areas

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


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