The role of added mass in the theory of Hele-Shaw cell bubbles

  • Peder A. Tyvand
Brief Reports


Viscous bubbles in a Hele-Shaw cell are studied by two-dimensional theory. The motion is caused by buoyancy and/or a pressure gradient driving a uniform basic flow in the surrounding fluid. A formula for the velocity of a steady bubble is derived, involving the ratio between the added mass of the bubble and the displaced fluid mass.


Pressure Gradient Mathematical Method Basic Flow Surrounding Fluid Fluid Mass 
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Copyright information

© Birkhäuser Verlag Basel 1988

Authors and Affiliations

  • Peder A. Tyvand
    • 1
  1. 1.Dept. of Physics and MeteorologyAgricultural University of NorwayAas-NLHNorway

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