The Dynamics of Unsteady Bifurcation Flows

  • R. J. Liou
  • M. E. Clark
  • J. M. Robertson
  • L. C. Cheng


Since arterial bifurcations are susceptible to disease, it is important to understand the hemodynamics associated with this common cardiovascular non-uniformity. This paper seeks to extend our understanding of bifurcation flows by using a symmetrical geometry and comparing balanced and unbalanced flows in the branches. Finite difference methods are employed in the vorticity transport-stream function formulation and are aided by a coordinate transform. The basic characteristics of unsteady flow are amply portrayed using the simple oscillatory forcing function. The particular flow division ratios used in this study were QR = 1/2 and 2/3; these values were held constant throughout the period of oscillation. The Karman number and Stokes number of the trunk flow, the basic flow similarity parameters, were taken as 1000 and 10π, respectively. Kinematic results are presented and compared in terms of stream function and vorticity contour plots. Kinetic results are summarized in the form of shear distributions over the regions of interest both in time and space.


Unsteady Flow Pulsatile Flow Stokes Number Balance Flow Flow Division 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • R. J. Liou
    • 1
  • M. E. Clark
    • 1
  • J. M. Robertson
    • 1
  • L. C. Cheng
    • 2
  1. 1.Dept.T.A.M.Univ. of IllinoisUrbanaUSA
  2. 2.Dept.M.E.Wichita State Univ.WichitaUSA

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