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Paper   IPM / Physic / 7218
School of Physics
  Title:   Viscosity Considerations in the Dynamics of A Large Amplitude Oscillating Bubble
1.  A. Moshaii
2.  H.R. Massah
3.  R. Sadighi-Bonabi
4.  M. Taeibi-Rahni
  Status:   Preprint
  No.:  0
  Year:  2002
  Supported by:  IPM
A new set of equations have been derived from the full Navier-Stokes equation to describe the radial motion of a gas bubble in a compressible viscous liquid. These equations include new terms resulting from considerations of the two coefficients of viscosity and that of the compressibility of both the liquid and the gas. Also, the new equations can not be merged into one unlike all previously derived equations. Numerical calculations have been performed neglecting the gas viscosity and utilizing the Stockes' hypothesis (λ = −2μ/3) for the liquid. The results indicate that the influence of new terms, which are related to the liquid viscosity, is only remarkable at the end of the collapse, where the bubble motion is significantly compressible. Also, the more intense the collapse is, the more prominent are the roles of these new terms.

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