We establish forward and backward relations between entropy satisfying BGK models such as those introduced previously by the author and the rst order ux vector splitting numerical methods for systems of conservation laws. Classically, to a kinetic BGK model that is compatible with some family of entropies we can associate an entropy ux vector splitting. We prove that the converse is true: any e...

Conventional ultrasound (US) methods for blood velocity estimation only provide one-dimensional and angle-dependent velocity estimates; thus, the complexity of cardiac flow has been difficult to measure. To circumvent these limitations, the Transverse Oscillation (TO) vector flow method has been proposed. The vector flow method implemented on a commercial scanner provided real-time, angle-indep...

This study of aortic root flow velocity profiles suggests that the flow velocity pattern is parabolic rather than flat as has been widely supposed. To analyze the distribution of flow velocity, a special ultrasound pulsed Doppler velocity flow meter, with a direct probe on the aortic wall, was designed. Sixteen patients, none with a diagnosis of aortic valve disease, were examined just before u...

The most general second order irrotational vector field evolution equation is constructed, that can be transformed to a single equation for the Cole–Hopf potential. The exact solution to the radial Burgers equation, with constant mass influx through a spherical supply surface, is constructed. The complex linear Schrödinger equation is equivalent to an integrable system of two coupled real vecto...

− The weight vector theory for Coriolis flow meters has been the subject of research presented by Hemp and co-workers in various articles. The underlying theory may not be easily understood. This paper explains the application of the weight vector theory for Coriolis flowmeters. The theory is applied to simple theoretical meter configurations consisting of a single straight pipe. The applicatio...

A data validation technique for 3-D particle tracking velocimetry is proposed. Rule based fuzzy logic system has been used. In the proposed scheme, the PTV pairing results will be provided as an input to the validating system. Then, velocity vectors of the particles in the neighborhood are measured, in terms of velocity gradient, direction and magnitude. The distance between vector midpoints, d...

Introduction Phase-contrast magnetic resonance imaging (PC-MRI) provides time-resolved 3D information of velocity fields of flowing blood in vessels. It has however been noted that system imperfections including eddy current related phase offsets, sample noise, displacement and partial volume effects can compromise the accuracy of velocity data derived from phase-contrast measurements [1]. If o...

Acoustic wave is a physical field that includes both scale field and vector field. Acoustic Vector Sensor (or called Combined Acoustic Vector Transducer) can pick up the information contained in both pressure and velocity fields, so it makes possible to use much more information. This paper from several sides: principle, structure and possibilities of its future applications, briefly discusses ...

The flow in the gap between an inner rotating cylinder concentric with an outer stationary cylinder with an imposed pressure-driven axial flow was studied experimentally using particle image velocimetry ~PIV! in a meridional plane of the annulus. The radius ratio was h50.83 and the aspect ratio was G547. Velocity vector fields for nonwavy toroidal and helical vortices show the axial flow windin...