Motion of Aqueous Solution of a Polymer with a Free Boundary
O. A. Frolovskaya1,2
1Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
2Novosibirsk State University, Novosibirsk, 630090, Russia
Keywords: aqueous solutions of polymers, layered flows, flows with free boundaries
Abstract
This paper describes a problem of unsteady flow of an aqueous polymer solution in a strip with a free boundary, the condition on which includes the time derivative of the desired function. A solution to this problem is constructed for a layered flow in a strip of constant width. The dependence of variation of the strip width with time on a parameter proportional to relaxation viscosity is studied.
|
