Acta Mechanica

, Volume 225, Issue 11, pp 3115–3121 | Cite as

Stokes flow driven by a Stokeslet in a cone

  • Irina V. Blinova
  • Ksenia N. Kyz’yurova
  • Igor Yu. PopovEmail author


We consider an axisymmetric Stokes flow in an infinite right circular cone, which has a source of momentum (a Stokeslet) on its axis. It produces an infinite sequence of eddies in the conical flow region. A boundary problem for a stream function is solved. The picture of the streamlines is obtained. We investigate an eddy structure of the flow. The results can be used for constructing nanoreactors while carrying out chemical reactions in strictly localized nanosized spatial regions.


Stokes flow Stokeslet Cone Eddy 


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Copyright information

© Springer-Verlag Wien 2014

Authors and Affiliations

  • Irina V. Blinova
    • 1
  • Ksenia N. Kyz’yurova
    • 2
  • Igor Yu. Popov
    • 1
    Email author
  1. 1.St. Petersburg National Research University of Information Technologies, Mechanics and OpticsSt. PetersburgRussia
  2. 2.Department of Statistical ScienceDuke UniversityDurhamUSA

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