作者: Tomoo Kamakura , Kazuhisa Matsuda , Yoshiro Kumamoto , Mack A. Breazeale
DOI: 10.1121/1.411904
关键词: Boundary value problem 、 Flow (mathematics) 、 Finite difference method 、 Gaussian function 、 Acoustic streaming 、 Acoustics 、 Nonlinear system 、 Vorticity 、 Nonlinear acoustics 、 Mechanics 、 Physics
摘要: Axisymmetric flow equations for a viscous incompressible fluid are transformed into the vorticity transport and Poisson’s equations. They numerically solved via finite difference method imposing appropriate initial boundary conditions. A model source of 1‐cm radius 5‐cm focal length with Gaussian amplitude distribution radiates 5‐MHz ultrasound beams in water. Numerical examples shown buildup acoustic streaming along across axis. Evidently, hydrodynamic nonlinearity has an essential effect on generation comparison linear case; reduces velocity prefocal region, whereas it tends to accelerate postfocal region.