Stokes flow impinging on a spherical cap on a plane wall

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

Axisymmetric Stokes flow impinging upon a spherical cap on a solid plane wall is analysed. An analytical integral expression for the streamfunction is obtained from separation of variables in toroidal coordinates; Mehler-Fock transforms are used in applying the boundary conditions. Streamlines are shown for spherical caps ranging from very flat to very round. Regions of recirculation are found near the edges of caps fuller than a hemisphere. The pressure distribution on the cap, and the net force in the axial direction, are also determined for a range of shapes. The axial force is proportional to the volume of caps of fixed shape, but relatively insenstiive to the degree of flattening for caps of fixed volume. Implications of the results for the deformation of red blood cells and other deformable particles are examined.

Original languageEnglish (US)
Pages (from-to)179-193
Number of pages15
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume49
Issue number2
DOIs
StatePublished - May 1996

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Stokes flow impinging on a spherical cap on a plane wall'. Together they form a unique fingerprint.

Cite this