Maximum and minimum principles for capillary surface problems with prescribed contact angle

Lubrication Approximation with Prescribed Nonzero Contact Angle

We prove long{time existence for a weak solution s(t; x) 0 of the lubrication approximation @ t s + @ x (s @ 3 x s) = 0 in fs > 0g with prescribed contact angle of, say, 4 (@ x s) 2 = 1 on @fs > 0g :

Analysis of Contact Angle in Capillary Invasion

The correct knowledge of the physical processes that control the fluid-fluid interface displacement at the pore-level is of increasing interest due to the growing possibility of direct simulation of immiscible displacement offered by the strong development of computers’ performance and numeric methods and to the increasing accuracy in three-dimensional reconstruction methods. Flow of immiscible...

Tricyclic and Tetracyclic Graphs with Maximum and Minimum Eccentric Connectivity

Let $G$ be a connected graph on $n$ vertices. $G$ is called tricyclic if it has $n + 2$ edges, and tetracyclic if $G$ has exactly $n + 3$ edges. Suppose $mathcal{C}_n$ and $mathcal{D}_n$ denote the set of all tricyclic and tetracyclic $n-$vertex graphs, respectively. The aim of this paper is to calculate the minimum and maximum of eccentric connectivity index in $mathcal{C}_n$ and $mathcal{D}_n...

Prescribed minimum benefits or minimum prescribed benefits?

Three-phase threshold capillary pressures in noncircular capillary tubes with different wettabilities including contact angle hysteresis.

We use the Helmholtz free energy balance and the Mayer-Stowe-Princen method to derive general expressions governing multiphase pistonlike displacements in noncircular capillary elements with arbitrary wettability. We take into account hysteresis in oil/water, gas/water, and gas/oil contact angles. We study both two- and three-phase systems. We find threshold capillary pressures for gas invasion...