Abstract

We consider a time discretization of incompressible Navier-Stokes equations with spatial periodic boundary conditions in the vorticity-velocity formulation. The approximation is based on freezing velocity subintervals resulting linear parabolic for vorticity. Probabilistic representations solutions these are given. At each step, expressed via vorticity using formula corresponding to Biot--Savar...

background: the evaluation of prosthetic valves is very difficult with two-dimensional transthoracic echocardiography alone. doppler and color flow imaging as well as transesophageal echocardiography are more reliable to detect prosthetic valve dysfunction. however, doppler study sometimes tends to be misleading due to the load-depending characteristics of peak and mean pressure gradients. the ...

Solving the Boltzmann collisionless equation under the axisymmetric hypothesis introduces serious limitations on describing the kinematics of a single stellar system according to the local Galactic observables. Instead of relaxing the hypothesis of axisymmetry, one alternative is to assume a mixture model. For a finite mixture of ellipsoidal velocity distributions, the coexistence of several st...

in order to simulate the rotating disk contactor all hydrodynamic parameters, dispersed phase hold-up, characteristic velocity, mean drop size, drop size distribution, axial mixing and mass transfer have been taken into account. mechanisms of mass transfer (stagnant, circulating, oscillating drops) were used in this study. column height found from effect of mean drop size and drop size distribu...

background: the goal of this study was to determine the reliability of tcd in evaluation of vertebrobasilar arteries in comparison with brain mra in patients suffering from acute vertebrobasilar stroke. methods: samples were patients with definite clinical diagnosis of vertebrobasilar stroke. for all patients brain mri, mra and tcd were performed during the first 48 hours of admission. basilar ...