Bingham fluid sloshing phenomenon modelling and investigating in a rectangular tank using SPH method

摘要

In the present work, the sloshing phenomenon in a rectangular tank with non-Newtonian Bingham fluid is modeled. The numerical method used is the Incompressible Smoothed particle Hydrodynamics (ISPH) method. In the present study, first, a proper algorithm has been developed for modeling the Bingham fluid with the free surface. The method is validated by the famous previous works and experimental results. Then, to investigate the behavior of Bingham fluid, first, a proper Bingham number for sloshing phenomena is defined and the results are extracted according to this number. Three different Bingham numbers are considered and sloshing phenomena are analyzed and discussed for each of them. Finally, the effect of the baffle on the control of the sloshing phenomenon for the Bingham fluid is examined. The results show that increasing the Bingham number decreases the amplitude of the sloshing phenomenon. Also, the vertical baffle significantly controls the sloshing phenomenon.