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Showing 1 to 10 of 10 for “"Bernoulli equation"”.
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In silico and in vitro analysis of calcific and rheumatic aortic stenosis
… and the TPG estimated using the simplified Bernoulli equation. The simplified Bernoulli equation is derived from the Bernoulli equation and relates the pressure gradient across the valve to the velocity of the blood flowing through the valve. As the simplified Bernoulli equation is …
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Propagation of acceleration waves in random media
… and has led to the derivation of the following Bernoulli equation [13], which models the time evolution of the wave amplitude: The analysis also reveals that there exists a critical amplitude that determines whether the wave amplitude decays, or blows-up rapidly to infinity. In the latter case, …
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Hydraulic Performance of Porous Sediment Control Structures
… fabric has been developed by first applying the Bernoulli equation to a single opening and then extending the principle to the entire cross-sectional area. An opening coefficient, which varies with hydraulic head, is introduced in the head-discharge equation. The derived filter fabric formula is …
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A model of the formation of a porous fibrous cake
… model is based on solving Darcy’s law, the Bernoulli equation, and two-material related experimental correlations at discrete points along the screen. A permeability measurement test apparatus was designed and built, and experiments were run to determine the experimental relations for two …
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Physically modeling and mathematically simulating pressure transients in transfer lines
… the flow reasonably well. The unsteady Bernoulli equation was implemented with major and minor losses. The model revealed several aspects of the physical system that were not immediately obvious from the data. The unpredicted aspects of the physical system were the fluctuation in tank …
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Computation of nonlinear hydrodynamic loads on floating wind turbines using fluid-impulse theory
… gradients of the velocity potential in the Bernoulli equation and the discretization of the nonlinear free surface. The module computes linear and nonlinear loads - including hydrostatic, Froude-Krylov, radiation and diffraction, as well as nonlinear effects known to cause ringing, springing …
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Accuracy of Noninvasively Determined Pulmonary Artery Pressure in Dogs With Myxomatous Mitral Valve Disease
… Doppler echocardiography applying the simplified Bernoulli equation to the velocity of tricuspid regurgitation (sPAP_D). The accuracy of this estimation is unknown in dogs with MMVD, but experimental studies suggest that the method is imperfect. In order to fill this knowledge gap we prospectively …
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Dynamic response and optimal design of a lathe spindle under experimentally measured random cutting force excitations
… forces. The stochastic partial differential equation of motion characterizing the behavior of a lathe spindle-workpiece system is formulated based on the Euler-Bernoulli equation. A finite element method using beam elements is used for free vibration analysis to compute the undamped mode …
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An investigation to predict the sub-atmospheric pressure on high spillways
… numerical model was based on Navier-Stokes equations and the Bernoulli equation for Boundary-Fitted Curvilinear Coordinates (BFCC). The discretizations and computations were executed on a fixed, square grid regardless of the shape of the physical boundary. Equations were discretized using …
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An experimental test for the existence of the Euler wake velocity, validating Eulerlet theory by using a bluff body in a low-speed wind tunnel
… mainly works for Reynolds average Navier-Stokes equations particularly for a uniform, steady flow past a fixed body. Further, consider large Reynolds number such that the flow is not turbulent, and the boundary layer is negligibly small and the impermeability boundary condition holds. Instead of …