Vortex behavior of particle suspension flow in a wedge for the second-order fluid

Abstract

Effect of Weissenberg number, Reynolds number, Stokes number and wedge angle on the vortex behavior of particle suspension flow is investigated numerically in a wedge for the second-order viscoelastic fluid. The results show that there exist symmetrical vortices near the walls close to apex for different wedge angles, and the vortex length is inversely proportional to the wedge angle. Increase of the Reynolds number not only increases the vortex length but also their dependence on the Weissenberg number. The vortex length increases with the increase of Weissenberg number and finally reaches an asymptotic value. The vortex gradually developed as the Stokes number is decreased, and the vortex length has a maximum for the single phase flow. The presence of particles will suppress the development of vortex, and the suppression degree is directly proportional to the Stokes number. The Reynolds number has a larger impact on the vortex length than the wedge angle in the parameter region studied here. Keywords Two-phase flow Á Second-order viscoelastic fluid Á Particles Á Wedge flow Á Vortex behavior Á Numerical simulation