FLOW OF A NON-NEWTONIAN LIQUID WITH A FREE SURFACE

A fountain fl ow of a non-Newtonian liquid fi lling a vertical plane channel was investigated. The problem of this flow was solved by the fi nite-difference method on the basis of a system of complete equations of motion with natural boundary conditions on the free surface of the liquid. The stability of calculations was provided by regularization of the rheological Ostwald–de Waele law. It is shown that the indicated fl ow is divided into a zone of two-dimensional fl ow in the neighborhood of the free surface and a zone of one-dimensional fl ow at a distance from this surface. A parametric investigation of the dependence of the kinetic characteristics of the fountain fl ow and the behavior of its free surface on the determining criteria of this fl ow and its rheological parameters has been performed.
A fountain fl ow of a non-Newtonian liquid fi lling a vertical plane channel was investigated. The problem of this flow was solved by the fi nite-difference method on the basis of a system of complete equations of motion with natural boundary conditions on the free surface of the liquid. The stability of calculations was provided by regularization of the rheological Ostwald–de Waele law. It is shown that the indicated fl ow is divided into a zone of two-dimensional fl ow in the neighborhood of the free surface and a zone of one-dimensional fl ow at a distance from this surface. A parametric investigation of the dependence of the kinetic characteristics of the fountain fl ow and the behavior of its free surface on the determining criteria of this fl ow and its rheological parameters has been performed.
Author:  E. I. Borzenko and G. R. Shrager
Keywords:  non-Newtonian liquid, free surface, fi lling of a channel, numerical simulation
Page:  902