Experiments in Fluids

, Volume 37, Issue 2, pp 301–308 | Cite as

Velocity fields and streamline patterns of miscible displacements in cylindrical tubes

Original

Abstract

Displacements of a viscous fluid by a miscible fluid of a lesser viscosity and density in cylindrical tubes were investigated experimentally. Details of velocity and Stokes streamline fields in vertical tubes were measured using a DPIV (digital particle image velocimetry) technique. In a reference frame moving with the fingertip, the streamline patterns around the fingertip obtained from the present measurements confirm the hypothesis of Taylor (1961) for the external patterns, and that of Petitjeans and Maxworthy (1996) for the internal patterns. As discussed in these papers, the dependent variable, m, a measure of the volume of viscous fluid left on the tube wall after the passage of the displacing finger, is a parameter that determines the flow pattern. When m>0.5 there is one stagnation point at the tip of the finger; when m<0.5 there are two stagnation points on the centerline, one at the tip and the other inside the fingertip, and a stagnation ring on the finger surface with a toroidal recirculation in the fingertip between the two stagnation points. The finger profile is obtained from the zero streamline of the streamline pattern.

Keywords

Miscible fluids Finger Fingering displacement PIV/DPIV Velocity field Streamline Flow pattern Experiment 

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Copyright information

© Springer-Verlag 2004

Authors and Affiliations

  1. 1.Department of Aerospace and Mechanical EngineeringUniversity of Southern CaliforniaLos AngelesUSA
  2. 2.Laboratoire de Physique et Mecanique des Milieux HeterogenesEcole Superieure de Physique et de Chimie IndustriellesParis Cedex 05France

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