WIAS Preprint No. 761, (2002)

Uniaxial, extensional flows in liquid bridges


  • Bänsch, Eberhard
  • Berg, Christian P.
  • Ohlhoff, Antje

2010 Mathematics Subject Classification

  • 76D 76E


  • Uniaxial extensional flow, bridge stretching, microgravity, capillary forces, Navier-Stokes equations, free surface flow, finite elements, flow simulation


In this paper, we discuss the possibility to generate homogeneous flows with a nearly constant strain rate. This is achieved by stretching an almost cylindrical liquid bridge under microgravity. One key issue is the adaptation of the disk diameters in order to have always ideal boundary conditions. We first study the stretching of two different fluids both, by numerical and experimental means. The numerical results are compared with these experimental data resulting in a very good agreement. The numerical method is then used to study the behavior of liquid bridges for quite a large range of the flow parameters Capillary number Ca and Weber number We and detect those regimes with most suitable flow conditions.

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