Axisymmetric Poiseuille flow of a Bingham plastic with rheological parameters varying linearly with pressure
Ημερομηνία
2018ISSN
0377-0257Source
Journal of Non-Newtonian Fluid MechanicsVolume
259Pages
16-22Google Scholar check
Metadata
Εμφάνιση πλήρους εγγραφήςΕπιτομή
We consider the steady axisymmetric Poiseuille flow of a Bingham plastic under the assumption that both the plastic viscosity and the yield stress vary linearly with pressure. An analytical solution is derived for the case where the growth coefficients of both rheological parameters are equal, which is indeed a reasonable assumption for certain oil-drilling fluids allowing the existence of a separable solution with a cylindrical unyielded core. The conditions for the occurrence of flow and the effects of the growth coefficient on the radius of the unyielded plug, the velocity profiles and the pressure distributions are discussed.