Numerical investigation of acoustically-triggered droplet vaporization in a tube

Numerical investigation of acoustic vaporization threshold of microdroplets

“…The vapor and liquid velocity profiles are solved from Eqs. (3) , (4) with the boundary conditions as Assuming , integration of the momentum equations over the droplet and ambient water regions with the boundary conditions result in the Rayleigh-Plesset equation [21] , [26] , where A fourth-order Runge–Kutta (RK) method with an adaptive computational time step is used to solve from Eq. (19) , which includes G , whose calculation procedure will be described later, to be determined from Eq.…”

“…The RP based numerical model has the advantage over the multidimensional numerical models for ADV developed in Refs. [24] , [25] , [26] that it can use a very fine mesh needed for the calculation of the initial bubble nucleus. Recently, Lacour et al [27] applied the RP based numerical model to investigate the ultimate fate of a DDFP bubble nucleus forming in a DDFP droplet and determine the ADV threshold in various acoustic frequencies.…”

Numerical investigation of acoustic cavitation and viscoelastic tissue deformation

“…The LS method described in our previous studies for various two-phase flow applications [35] , [36] , [37] is extended to investigate acoustic cavitation and resulting tissue deformation. The unified governing equations for bubble, water and tissue regions are expressed as where Here, are left Cauchy-Green deformation tensor, an elastic stress tensor for neo-Hookean materials, shear elastic modulus, respectively, and is a smoothed Heaviside function that varies linearly along the interface thickness of where h is a grid size.…”

Passive Ultrasound Localization Microscopy of Nanodroplet Vaporizations During Proton Irradiation

“…The behavior of NDs (extravasation) and resulting MBs (persistence, flow) within the tumor microenvironment and its impact on the localization precision of ULM and P-ULM should be investigated. ND confinement in vessels might affect the amplitude and shape of the vaporization signals [54], while the attenuation and speed of sound variations introduced by different tissue compositions might impact the localization performances of both techniques [55]. Lastly, this study was conducted above physiological temperature, at 50°C.…”