Vertex Theorems for Capillary Drops on Support Planes

Vertex Theorems for Capillary Drops on Supportplanesrobert

Floating drops and functions of bounded variation

A variational problem for three fluids in which gravitational and surface tension forces are in equilibrium is studied using sets of finite perimeter and functions of bounded variation. Existence theorems are proven which imply the existence of an axisymmetric floating drop. This problem has been studied previously as a free boundary problem for axisymmetric capillary surfaces by Elcrat, Neel a...

Modeling And Analysis of Simple Open Cycle Gas Turbine Using Graph Networks

This paper presents a unified approach based graph theory and system theory postulates for the modeling and analysis of Simple open cycle Gas turbine system. In the present paper, the simple open cycle gas turbine system has been modeled up to its subsystem level and system variables have been identified to develop the process subgraphs. The theorems and algorithms of the graph theory have been...

Stability of anisotropic capillary surfaces between two parallel planes

We study the stability of capillary surfaces without gravity for anisotropic free surface energies. For a large class of rotationally symmetric energy functionals, it is shown that the only stable equilibria supported on parallel planes are either cylinders or a part of the Wulff shape.

One-step emulsification of multiple concentric shells with capillary microfluidic devices.

Emulsions have long been utilized to make materials for foods, drugs, cosmetics, and displays because of their efficient encapsulation properties. While they are most commonly made in bulk, recent advances in microfluidics have enabled the design and manipulation of emulsion drops with unprecedented control and flexibility, albeit only on a drop-bydrop basis. Multiple-phase emulsions of very hi...