A numerical study of an unsteady laminar flow in a doubly constricted 3D vessel

B. V. Rathish Kumar, Takami Yamaguchi, H. Liu, R. Himeno

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14 Citations (Scopus)


Unsteady flow dynamics in doubly constricted 3D vessels have been investigated under pulsatile flow conditions for a full cycle of period T. The coupled non-linear partial differential equations governing the mass and momentum of a viscous incompressible fluid has been numerically analyzed by a time accurate Finite Volume Scheme in an implicit Euler time marching setting. Roe's flux difference splitting of non-linear terms and the pseudo-compressibility technique employed in the current numerical scheme makes it robust both in space and time. Computational experiments are carried out to assess the influence of Reynolds' number and the spacing between two mild constrictions on the pressure drop across the constrictions. The study reveals that the pressure drop across a series of mild constrictions can get physiologically critical and is also found to be sensitive both to the spacing between the constrictions and the oscillatory nature of the inflow profile. The flow separation zone on the downstream constriction is seen to detach from the diverging wall of the constriction leading to vortex shedding with 3D features earlier than that on the wall in the spacing between the two constrictions.

Original languageEnglish
Pages (from-to)1159-1176
Number of pages18
JournalInternational Journal for Numerical Methods in Fluids
Issue number12
Publication statusPublished - 2002 Apr 30


  • Doubly constricted 3D vessels
  • Numerical analysis
  • Pulsatile flow
  • Unsteady flow dynamics

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics


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