Cavitation in an aperture flow in a flat plate is studied using viscous potential flow. The maximum tension criterion for cavitation used here was proposed by Joseph [Phy. Rev. E, vol. 51, pp. 1649–1650, 1995; J. Fluid Mech., vol. 366, 367–378, 1998]: “Liquids at atmospheric pressure which cannot withstand tension will cavitate when and where tensile stresses due to motion exceed one atmosphere...

We present a simple and linear 3D cellular automata approach for animating the behaviors of viscous flow volumes in virtual environments. An accurate modeling of fluid flow usually requires complicated physical simulations. In this paper, we concentrate on the behaviors of highly viscous fluids, such as wax, lava, plastic, metal, chocolate, etc. We animate the smooth behaviors of viscous fluid ...

Critical threshold phenomena in a one dimensional quasi-linear hyperbolic model of blood flow with viscous damping are investigated. We prove global in time regularity and finite time singularity formation of solutions simultaneously by showing the critical threshold phenomena associated with the blood flow model. New results are obtained showing that the class of data that leads to global smoo...

A. Preface and introductory remarks B. The equation of motion I. Kinematics and dynamics of fluid motion II. Energy and momentum transfer III. Transformation of coordinates IV. Variational principles C. Incompressible and barotropic perfect fluids I.Genera1 princip1es II.Irrotationa1 motion III.Rotationa1 motion D. Thermodynamics and the energy equation I. Thermodynamics of simple media II. The...