In a recent experimental study on flow behavior of Vitreloy-1 (Zr41.25Ti13.75Cu12.5Ni10Be22.5), three distinct modes of flow are suggested: Newtonian, non-Newtonian, and localized flow. In a subsequent study, the experimental flow data is utilized in a self-consistent manner to develop a rate equation to govern local free volume production. In the present study the production-rate equation is t...

The numerical investigation of large bubbles rising under an inclined plane is presented. A numerical method for the simulation of fluid flows with complex free surfaces is presented, in which the liquid is assumed to be Newtonian, while gas bubbles are assumed to be compressible. A volume-of-fluid method is used to track the liquid domain. A time splitting algorithm allows to decouple the adve...

We study a system of nonlinear second order ordinary differential equations modeling Poiseuille flow of liquid crystals with variable degree of orientation, at the limit of large Ericksen number. The system is singularly perturbed and degenerate, and as a result the solutions are highly oscillatory. We obtain the relations satisfied by the Young measures generated by sequences of weak solutions...