Entrance region flow in concentric annuli with rotating inner wall for Bingham fluid

Abstract

Entrance region flow in concentric annuli with rotating inner wall for Bingham non-Newtonian fluid has been studied numerically. The inner cylinder is assumed to be rotating with a constant angular velocity ω and the outer cylinder to be stationary. Finite difference analysis is used to obtain the velocity components U, V, W and the distribution of pressure P along the radial direction R. With Prandtl's boundary layer assumptions, the continuity and momentum equations are solved iteratively using a finite difference method. Computational results are obtained for various non-Newtonian flow parameters and geometrical considerations. The development of the axial velocity profile, radial velocity profile, tangential velocity profile and pressure distribution in the entrance region have been analyzed. Comparison of the present results with the results available in literature for various particular cases has been done and found to be in agreement. Mathematical Subject Classification: 76U05

Bingham Fluid Flow in the Entrance Region of a Pipe

“…Beyond the yield stress, the apparent viscosity is finite. Several fluids used in the industry are non-Newtonian including various suspensions such as coal-water or coal-oil slurries, glues, inks, polymer solutions and others [7]. The fluid considered here is the Bingham model, which is of the 'time-independent yield stress' fluid category.…”