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Mechanics in Engineering ›› 2011, Vol. 33 ›› Issue (6): 9-12.doi: 10.6052/1000-0879-lxysj2011-231

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STUDY OF FREE SURFACE FLOW WITH PARTIALLY-SLIP BOUNDARY

AHMAD Salman,Baozeng Yue,Xiaojuan Song   

  • Received:2011-06-03 Revised:2011-09-02 Online:2011-12-15 Published:2011-12-23
  • Contact: Xiaojuan Song E-mail:songxiaojuan0603@yahoo.com.cn

Abstract: The researches on sloshing of the free surface flow in containers carrying liquid are of theoretical and practical significance. Numerical solutions often involve some approximations of the boundary condition, when considering the wide-range movement or the nonlinearity of the free surface flow. In this paper, under partial slip boundary conditions, the high-order nonlinear differential equations of a cylinder-shaped partially filled liquid container are numerically solved. The influences of the contact line and the fluid height of liquid and the partial slip boundary conditions on the macroscopic radius of the fluid layer are discussed. The results may serve a reference for treating similar boundary conditions of free surface flow for partially filled liquid carrying containers.

Key words: partial slip boundary