Mathematical Modeling of the Wave Dynamics of an Encapsulated Perfluorocarbon Droplet in a Viscoelastic Liquid

A mathematical model has been developed and a numerical study of vapor bubble growth as result acoustic evaporation an encapsulated perfluorocarbon droplet in viscoelastic liquid is presented. The viscoelasticity the shell carrier taken into account according to Kelvin–Voigt rheological model. problem reduced solving system ordinary differential equations for radius temperature bubble, together with thermal conductivity equation internal liquid. Spatial discretization carried out using implicit finite difference scheme. ODEs are solved by fifth order Runge–Kutta method adaptive computational step. To check correctness calculation particular case, theory compared known experimental data. influence shear modulus liquid, thickness on radial dynamics inside external demonstrated.