VOF法模拟剪切流动下液滴的变形和断裂运动

Simulation of the Deformation and Burst of a Viscous Drop in Simple Shear Flow Through a Volume of Fluid Method

本文对剪切作用下悬浮液滴在另一种不相融的液体中的变形和断裂过程进行了数值模拟。采用VOF(Volume ofFluid)法中的三维PLIC(Piecewise Linear Interface Calculation)算法实现界面的重构和输运,交错网格下投影法离散表面张力为源项的不可压缩Navier-Stokes方程。对于大毛细数、低雷诺数下液滴在非稳态条件下的变形和断裂运动的模拟结果符合EEP(Elongative End Pinching)夹断机理,并与其他文献的数值模拟和实验结果符合较好。

The deformation and breakup of a viscous drop immersed in an ambient simple shear flow is studied,in which the interface is captured by using volume-of-fluid method and the surface tension is calculated based on the continuum surface force（CSF） model.General second-order projection method with a staggered mesh is developed to simulate incompressible Navier-Stokes equations with the surface tension as a source term.For capillary numbers greater than the critical value,and low Reynolds number,the procedure of deformation and breakup of a drop is suited to the elongative end-pinching mechanism.The numerical results are in close agreement with existed numerical and experimental results.