Bubble collapse near a solid boundary: a numerical study of the influence of viscosity
Résumé
The effect of viscosity on jet formation for bubbles collapsing near
solid boundaries is studied numerically. A numerical technique is
presented which allows the
Navier-Stokes equations with free-surface boundary conditions
to be solved accurately and efficiently.
Good agreement is obtained between experimental data and numerical
simulations for the collapse of large bubbles. However, it is shown
that compressible and thermal effects must be taken into account in order to
describe the energy dissipation occurring during jet
impact correctly. A parametric study of the effect of viscosity on jet impact
velocity is undertaken. The jet impact velocity is found to decrease as
viscosity increases and above a certain threshold jet impact is
impossible. We study how this critical Reynolds number depends on
the initial radius and
the initial distance from the wall. A simple scaling law is found to link
this critical Reynolds number to the other non-dimensional parameters of the problem.
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