Application of clarke's transformation to the modal analysis of asymmetrical single-circuit three-phase line configurations

2007 ◽  
Vol 10 (4) ◽  
pp. 225-231 ◽  
Author(s):  
J. A. Brandāo Faria
Keyword(s):  
Modal Analysis ◽  
Phase Line ◽  
Three Phase

Dependence of the Contact Angle on Adsorption at the Solid-Liquid Interface

2010 ◽  
Author(s):  
C. A. Ward
Keyword(s):  
Surface Tension ◽  
Contact Angle ◽  
Pressure Range ◽  
Line Tension ◽  
Liquid Interface ◽  
Fluid Interfaces ◽  
Phase Line ◽  
Three Phase ◽  
Solid Liquid Interface ◽  
Solid Liquid

A method for determining the surface tension of solid-fluid interfaces has been proposed. For a given temperature and fluid-solid combination, these surface tensions are expressed in terms of material properties that can be determined by measuring the amount of vapor adsorbed on the solid surface as a function of xV, the ratio of the vapor-phase pressure to the saturation-vapor pressure. The thermodynamic concept of pressure is shown to be in conflict with that of continuum mechanics, but is supported experimentally. This approach leads to the prediction that the contact angle, θ, can only exist in a narrow pressure range and that in this pressure range, the solid-vapor surface tension is constant and equal to the surface tension of the liquid-vapor interface, γLV. The surface tension of the solid-liquid interface, γSL, may be expressed in terms of measurable properties, γLV and θ: γSL = γLV(1 − cosθ). The value of θ is predicted to depend on both the pressure in the liquid at the three-phase, line x3L, and the three-phase line curvature, Ccl. We examine these predictions using sessile water droplets on a polished Cu surface, maintained in a closed, constant volume, isothermal container. The value of θ is found to depend on the adsorption at the solid-liquid interface, nSL = nSL(x3L,Ccl). The predicted value of θ is compared with that measured, and found to be in close agreement, but no effect of line tension is found.

Utilization of PMU Measurements for Three-Phase Line Parameter Estimation in Power Systems

2018 ◽  
Vol 67 (10) ◽  
pp. 2453-2462 ◽  
Author(s):  
Vladimir Milojevic ◽  
Srdan Calija ◽  
Gert Rietveld ◽  
Milos V. Acanski ◽  
Daniele Colangelo
Keyword(s):  
Parameter Estimation ◽  
Power Systems ◽  
Phase Line ◽  
Line Parameter ◽  
Three Phase

Status of the three-phase line tension: a review

2004 ◽  
Vol 110 (3) ◽  
pp. 121-141 ◽  
Author(s):  
A. Amirfazli ◽  
A.W. Neumann
Keyword(s):  
Line Tension ◽  
Phase Line ◽  
Three Phase

scholarly journals Collembola cuticles and the three-phase line tension

2017 ◽  
Vol 8 ◽  
pp. 1714-1722 ◽  
Author(s):  
Håkon Gundersen ◽  
Hans Petter Leinaas ◽  
Christian Thaulow
Keyword(s):  
Contact Angle ◽  
Surface Structure ◽  
Large Change ◽  
Line Tension ◽  
Contact Angles ◽  
Surface Structures ◽  
Exposed Surface ◽  
Phase Line ◽  
Three Phase ◽  
Cuticular Surface

The cuticles of most springtails (Collembola) are superhydrophobic, but the mechanism has not been described in detail. Previous studies have suggested that overhanging surface structures play an important role, but such structures are not a universal trait among springtails with superhydrophobic cuticles. A novel wetting experiment with a fluorescent dye revealed the extent of wetting on exposed surface structures. Using simple wetting models to describe the composite wetting of the cuticular surface structures results in underestimating the contact angles of water. Including the three-phase line tension allows for a prediction of contact angles in the observed range. The discrepancy between the contact angle predicted by simple models and those observed is especially large in the springtail Cryptopygus clavatus which changes, seasonally, from superhydrophobic to wetting without a large change in surface structure; C. clavatus does not have overhanging surface structures. This large change in observed contact angles can be explained with a modest change of the three-phase line tension.

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