Flow of a non-Newtonian liquid through a channel when solidification of a liquid leads to wall slip

Abstract

The theory of movement of a polymerizing (curing) material with non-Newtonian rheological properties is developed. Such a material loses the ability to flow at a certain degree of change and can move in a channel only if sliding along the walls occurs. This demands the introduction of the law of wall friction instead of the standard idea of wall adhesion. In the present paper the full set of kinetic, rheological, energy and dynamic equations is proposed. The solution of this set of equations is obtained by computation for a material with specific properties. Some unusual hyrodynamic effects are found for the flow of a chemically-active (curing) liquid. The analysis of the stability problem at movement in such a situation is given.