Seminar on partial differential equations

Influence of rheological parameters on generalized Oldroyd-B fluid flow through curved pipes

Marília Pires

Institute of Mathematics, CAS

Tuesday, 10. December 2019 - 9:00 to 10:00

in IM, rear building, ground floor

Flows in curved pipes are very challenging and considerably more complex than flows in straight pipes. Due to fluid inertia, a secondary motion appears in addition to the primary axial flow. It is induced by an imbalance between the cross stream pressure gradient and the centrifugal force and consists of a pair of counter-rotating vortices, which appear even for the most mildly curved pipe.

Parallel to the pipe curvature ratio, the rheological parameters of the fluid have a considerable influence on the flow behavior. In this work, numerical simulations obtained by finite elements method, involving steady, incompressible, creeping and inertial flows of the generalized Oldroyd-B fluid through curved pipes are presented. The behavior of the solutions is discussed with respect to different rheologic and geometric flow parameters.

Parallel to the pipe curvature ratio, the rheological parameters of the fluid have a considerable influence on the flow behavior. In this work, numerical simulations obtained by finite elements method, involving steady, incompressible, creeping and inertial flows of the generalized Oldroyd-B fluid through curved pipes are presented. The behavior of the solutions is discussed with respect to different rheologic and geometric flow parameters.