Investigation of a viscous fluid drain under the pressure drop with simultaneous filling of a rectangular tank

Abstract

In this work the study of the hydrodynamic process, realized when a viscous fluid is drain from a triangular tank with simultaneous filling of a rectangular tank in a plane approximation, was carried out. The flow is described system of equations which is composed of Navier-Stokes equations and continuity equation in dimensionless variables. On the solid wall the no-slip conditions are specified. On free surfaces, the continuity conditions for normal and tangential stresses are satisfied. At the initial moment of time the fluid in drain tank is located. At the moment when the free surface reaches the level of the drain orifice, the drain tank is again considered to be filled of fluid. According to this a continuous drain process is carried out until the lower tank is completely filled without gas breakthrough from of the drain tank. The formulated problem is solved numerically using the PLIC VOF method. Parametric studies of this process were conducted. Different regimes of free surfaces formation for both the draining process and the filling process have been identified depending on the values of the determining parameters. The distribution of the kinematic characteristics of the flow is obtained.