An empty spherical cavity of radius forms in water ( ) where the ambient pressure…

PHYSICS · Subjective · Fermi University Physics · Fluids & Continuum Physics · Solid continuum mechanics and complex fluids · Solid continuum mechanics and complex fluids

Bending, Ringing, Breaking and Flowing, Ch Bubbles, drops and cavitation

Problem

An empty spherical cavity of radius R0=0.50 mmR_0 = 0.50\,\mathrm{mm} forms in water (ρ=1000 kg m−3\rho = 1000\,\mathrm{kg\,m^{-3}}) where the ambient pressure exceeds the (negligible) pressure inside by Δp=200 kPa\Delta p = 200\,\mathrm{kPa}. Treat the collapse as spherical and inviscid, with surface tension neglected, in the incompressible model. Find the Rayleigh collapse time of the cavity.

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