We present parametric finite element approximations of curvature flows for curves in R, d ≥ 2, as well as for curves on two-dimensional manifolds in R3. Here we consider the curve shortening flow, curve diffusion and the elastic flow. It is demonstrated that the curve shortening and the elastic flows on manifolds can be used to compute nontrivial geodesics, and that the corresponding geodesic c...

Accurate measurement of the flow curves magnetic fluid under a uniform field has always been challenge. In this article, novel method is proposed to measure curve fluids based on plane Poiseuille flow. The measuring system was built and its performance compared with that commercial rheometer. Flow different zero-field viscosity were tested various strengths. This facilitates direct observation ...

in order to present a new and high performance structure of pem fuel cell and study the influence of the flow direction and distribution on the rate of reactants diffusion, three novel models of vertical reactant flow injection into the anode and cathode reaction area field have been introduced. they consist of one inlet and two inlets and also a continuous channel. the governing equations on t...

This prospective study assessed whether respiratory variations in velocity time integral, peak blood flow velocity and non-invasive pleth variability index are useful measurements in infants undergoing congenital heart surgery and determined threshold values that may help guide fluid administration. In 27 infants receiving mechanical ventilation, of mean (SD) weight 10.4 (6.3) kg, 13 increased ...

With few exceptions, known explicit solutions of the curve shortening flow (CSE) of a plane curve, can be constructed by classical Lie point symmetry reductions or by functional separation of variables. One of the functionally separated solutions is the exact curve shortening flow of a closed, convex “oval”-shaped curve and another is the smoothing of an initial periodic curve that is close to ...

ions: Forms of precipitation, data analysis, rain gauge networks; Infiltration process, infiltration indices and Horton's equation; Evaporation and Evapo-transpiration Pan evaporation, empirical equations for estimating evaporation and evapo-transpiration; Transpiration, Runoff and Hydrographs: Rainfall runoff relations, time area concept, flow duration curve, mass curve, flow hydrograph, Unit ...

To clarify the determinants of pulmonary valve (PV) motion in pulmonary hypertension, we examined the correlations among PV echo patterns, the pulmonary artery (PA) flow curve just above the PA orifice and the pulmonary artery-right ventricle (PA-RV) pressure gradient. By constricting the PA, we could produce a variety of PV echo patterns, including midsystolic semiclosure in open-chest dogs. T...

Abstract—This paper evaluates oil displacement by water in Hauterivian sandstone reservoir of Kashkari oil field in North of Afghanistan. The core samples of this oil field were taken out from well No-21st, and the relative permeability and fractional flow are analyzed. Steady state flow laboratory experiments are performed to empirically obtain the fractional flow curves and relative permeabil...

In the past several years, there has been much research devoted to the study of evolutions of plane curves where the velocity of the evolving curve is given by the Euclidean curvature vector. This evolution appears in a number of different pure and applied areas such as differential geometry, crystal growth, and computer vision. See for example [4, 5, 6, 15, 16, 17, 19, 20, 35] and the referenc...