Phase Transition of Normal Higher Primary Bromides. III.

Phase transition of the dry friction between crystalline surfaces induced by normal load

A major source of energy dissipation and surface wear is the kinetic friction at the interfaces of sliding bodies. Traditionally, on a macroscopic scale, this undesirable effect is reduced with lubricating the surfaces by introducing oil into their interface. An interesting phenomenon, called superlubricity, has been reported on a nanometer scale where dry (without lubricant oil) fruition and w...

Heteroclinic Orbits for a Higher Order Phase Transition Problem

A standard model for one-dimensional phase transitions is the secondorder semilinear equation with bistable nonlinearity, where one seeks a solution which connects the two stable values. From an Ising-like model but which includes long-range interaction, one is led to consider the equation where the second-order operator is replaced by one of arbitrarily high order. Others have found the desire...

Phase Iii Research 7 the Transition - to - Lean Roadmap

Simulation of Primary Breakup for Diesel Spray with Phase Transition

A continuum formalism for describing the behavior of primary atomization with phase transition is presented, which includes the effects of heat and mass transfer of the two phase flow, the formation of ligaments and droplets, surface tension force and turbulence. Simulation of liquid jet primary atomization given by Marcus Herrmann (A balanced force refined level–set grid method for two–phase f...

On higher rank numerical hulls of normal matrices

‎In this paper‎, ‎some algebraic and geometrical properties of the rank$-k$ numerical hulls of normal matrices are investigated‎. ‎A characterization of normal matrices whose rank$-1$ numerical hulls are equal to their numerical range is given‎. ‎Moreover‎, ‎using the extreme points of the numerical range‎, ‎the higher rank numerical hulls of matrices of the form $A_1 oplus i A_2$‎, ‎where $A_1...