Cavitation in a soft porous material

Author:

Leng Yu1,Vlachos Pavlos P1,Juanes Ruben2ORCID,Gomez Hector1ORCID

Affiliation:

1. School of Mechanical Engineering, Purdue University , 585 Purdue Mall, West Lafayette, IN 47907, USA

2. Department of Civil and Environmental Engineering, Massachusetts Institute of Technology , 77 Massachusetts Avenue, Cambridge, MA 02139, USA

Abstract

Abstract We study the collapse and expansion of a cavitation bubble in a deformable porous medium. We develop a continuum-scale model that couples compressible fluid flow in the pore network with the elastic response of a solid skeleton. Under the assumption of spherical symmetry, our model can be reduced to an ordinary differential equation that extends the Rayleigh–Plesset equation to bubbles in soft porous media. The extended Rayleigh–Plesset equation reveals that finite-size effects lead to the breakdown of the universal scaling relation between bubble radius and time that holds in the infinite-size limit. Our data indicate that the deformability of the porous medium slows down the collapse and expansion processes, a result with important consequences for wide-ranging phenomena, from drug delivery to spore dispersion.

Funder

National Science Foundation

U.S. Department of Energy

Publisher

Oxford University Press (OUP)

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