Isothermal quantum hydrodynamic equations of order O(~) using the quantum entropy minimization method recently developed by Degond and Ringhofer are derived. The equations have the form of the usual quantum hydrodynamic model including a correction term of order O(~) which involves the vorticity. If the initial vorticity is of order O(~), the standard model is obtained up to order O(~). The der...

in order to improve the performance of irrigation networks, provide higher flexibility levels and improve water delivery methods, application of automatic control systems is suggested. in the coarse of the present study, a mathematical model of automatic pivot weir as based on pid control logic in combination with icss hydrodynamic model is developed. the developed model was tested under high f...

In this paper, we present the results of a study on the influence of hydrodynamic effects on the surface potentials of the erythrocyte membrane, comparing two different models formulated to simulate the electrophoretic movement of a biological cell: the classical Helmholtz-Smoluchowski model and a model presented by Hsu et al. (1996). This model considers hydrodynamic effects to describe the di...

Ria de Aveiro is a shallow coastal lagoon located in the Northwest coast of Portugal. The implementation and the assessment (calibration and validation) of the hydrodynamic, salt and heat transport models for Ria de Aveiro lagoon is presented. During the calibration the models parameters were adjusted to give the best fit of the model results to the field data. The hydrodynamic model calibratio...

Abstract Usually, evanescent modes or non-propagating waves are produced when a propagating incident wave impinges on an interface between two media or materials such as curtainwall-pile breakwater (CPB) at a subcritical angle and decay with distance from interface. To achieve an effective prediction of hydrodynamic performance of CPB and overcome the problem of underestimation of energy loss, ...

A mesoscopic hydrodynamic model to simulate synthetic self-propelled Janus particles which is thermophoretically or diffusiophoretically driven is here developed. We first propose a model for a passive colloidal sphere which reproduces the correct rotational dynamics together with strong phoretic effect. This colloid solution model employs a multiparticle collision dynamics description of the s...

A modified model has been analytically developed to describe the induction time of an elliptic air bubble in contact with an elliptic hydrophobic oil droplet. The role of hydrophobicity was revealed in the slippage of liquid over the surfaces of bubble and droplet. In this condition, the analytical relationships for pressure distribution and consequently hydrodynamic resistance force through th...

An extension of the classical hydrodynamic model for semiconductor devices to include quantum transport e€ects is reviewed. This ``smooth'' quantum hydrodynamic (QHD) model is derived speci®cally to handle in a mathematically rigorous way the discontinuities in the classical potential energy which occur at heterojunction barriers in quantum semiconductor devices. A conservative upwind discretiz...