Steady viscous fluid flow near a cylinder subject to longitudinal deformation

Abstract

Within the framework of the class of exact solutions of the hydrodynamic equations, characterized by the linear dependence of some of the velocity components on the axial coordinate, the axisymmetric and rotationally symmetric regimes are considered for viscous fluid flow in the gap between two cylinders one of which is being longitudinally deformed while the other is rigid. In the investigated region of the Reynolds number spectrum a point at which a rotationally symmetric solution branches off from the solution without swirl is found and the intervals of multiple values of this parameter, within which each fixed Re corresponds to more than one solution of the rotationally symmetric or axisymmetric type, are distinguished.