by considering the fact that the surface tension of a real fluid arises from a combination of both repulsive and attractive forces between molecules, a new expression for the interfacial tension has been derived from scaled particle theory (spt)  based on the work of cavity formation and the interaction energy between molecules. at the critical temperature, the interfacial tension between coexi...

A novel 4-point ternary interpolatory subdivision scheme with a tension parameter is analyzed. It is shown that for a certain range of the tension parameter the resulting curve is C2. The role of the tension parameter is demonstrated by a few examples. There is a brief discussion of computational costs.  2001 Elsevier Science B.V. All rights reserved.

We perform energy estimates for a sharp-interface model of two-dimensional, twophase Darcy flow with surface tension. A proof of well-posedness of the initial value problem follows from these estimates. In general, the time of existence of these solutions will go to zero as the surface tension parameter vanishes. We then make two additional estimates, in the case that a stability condition is s...

In this work, we develop a correlative model based on the surface tension data in order to calculate thermodynamic parameters, such as interaction energy between components (Uij), activity coefficients and etc. In the new approach, by using Li et al. (LWW) model, a three-parameter surface tension equation is derived for liquid mixtures. The surface tension data of 54 aqueous and 73 non-aqueous ...

A ternary 4-point interpolating subdivision scheme is proposed that generates the limiting curve of C1 continuity. Performance of the proposed subdivision scheme is improved using a tension parameter. The improved subdivision scheme generates a family of C1 limiting curves for certain range of tension parameter. Laurent polynomial method is used to investigate the derivative continuity of the s...

The Hubble constant ($H_0$), which represents the expansion rate of Universe, is one most important cosmological parameters. recent measurements $H_0$ using distance ladder methods such as Type Ia Supernovae (SNe Ia) are significantly greater than CMB by Planck. difference points to a crisis in standard model cosmology termed tension. In this work we compare different models, determine and comm...

In tension systems, the main concern is to decouple the tension and velocity in spite of radius variations and other perturbations. To solve this control problem and design the optimal controller, this paper develops a mixed-sensitivity robust H∞ control based on self-optimizing algorithm. First, the modeling of the tension system is presented with relative theorems. Second, a mixed-sensitivity...