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- W1972657788 abstract "The study of a bubble encapsulated by a fluid or an elastic shell is a subject of interest for a wide variety of applications. In particular, ultrasound contrast agents are encapsulated bubbles 1–5 microns in radius developed for diagnostic imaging and, more recently, therapeutic purposes involving drug delivery. The previous formulations of the equations for encapsulated bubbles have originated from a generalized Rayleigh–Plesset equation, which follows from the Eulerian form of the fluid dynamics equations. Dynamic formulations of empty spherical shells in an inviscid medium have been also developed independently of these gas bubble studies. Little effort has gone into unifying the two approaches. The equations for a gas-filled incompressible, isotropic elastic spherical shell are derived from the Lagrangian frame using the first Piola–Kirchoff stress tensor. Some previous results are obtained and compared in different limiting cases. Instabilities of the shell are determined for sufficiently flexible shell materials or high internal gas pressures. Also highlighted are the nonspherical instabilities associated with acoustically driven bubbles with fluid shells of different density and viscosity than that of the surrounding fluid." @default.
- W1972657788 created "2016-06-24" @default.
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- W1972657788 date "2002-10-25" @default.
- W1972657788 modified "2023-09-25" @default.
- W1972657788 title "Encapsulated bubble dynamics" @default.
- W1972657788 doi "https://doi.org/10.1121/1.4779065" @default.
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