On the flow of a non-Newtonian fluid between rotating, coaxial discs
This paper is concerned with the torsional flow of an Oldroyd-B fluid. The kinematics is restricted to that commonly referred to as Von Kármán kinematics. These restrictions allow the reduction of the problem to a set of ordinary differential equations. The problem is then solved with finite differences using well-known branch following and jumping techniques. The solution of this set of equations is discussed, and it is found that the solutions either lose stability at subcritical bifurcation points, or fold back on themselves at limit points. Either of these will cause a high Weissenberg number problem. Comparisons are also made with the known solutions to the Newtonian problem by considering small values of the Weissenberg number.
scientific article; zbMATH DE number 4005799