Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (4): 333-342.

• 论文 • 上一篇    下一篇

LUBRICATION ANALYSIS OF A CELL SLIDING INTO A CIRCULAR PORE

严宗毅, 潘春晖   

  1. Department of Mechanics, Peking University, Beijing
  • 收稿日期:1989-01-16 出版日期:1990-04-18 发布日期:1990-04-18
  • 基金资助:
    National Natural Science Foundation of China

LUBRICATION ANALYSIS OF A CELL SLIDING INTO A CIRCULAR PORE

Yan Zong-yi, Pan Chun-hui   

  1. Department of Mechanics, Peking University, Beijing
  • Received:1989-01-16 Online:1990-04-18 Published:1990-04-18
  • Supported by:
    National Natural Science Foundation of China

摘要: The resistance to the blood cells at the entrance to capillaries and membrane pores contributes considerably to the peripheral resistance in the blood circulation. This paper proposes, for the first lime, a simplified mechanical model in an attempt to treat the axisymmetric motion of a cell sliding into a circular pore. In this model, the shape of the cell is taken as given according to the microvideograph and the cell membrane is assumed to slide over its surface. The lubrication theory is applied to the thin layers of plasma between the membrane and the pore wall, yielding the pressure and shear stress distributions over the membrane as well as the resultant drag exerted on the cell. Our computations have simulated the process of the cell entering the pore, which is in qualitative agreement with the microvideographic observations.

关键词: nonlinear, aeroelasticity, rotor/fuselage coupling, temporal finite element method (TEM), stability

Abstract: The resistance to the blood cells at the entrance to capillaries and membrane pores contributes considerably to the peripheral resistance in the blood circulation. This paper proposes, for the first lime, a simplified mechanical model in an attempt to treat the axisymmetric motion of a cell sliding into a circular pore. In this model, the shape of the cell is taken as given according to the microvideograph and the cell membrane is assumed to slide over its surface. The lubrication theory is applied to the thin layers of plasma between the membrane and the pore wall, yielding the pressure and shear stress distributions over the membrane as well as the resultant drag exerted on the cell. Our computations have simulated the process of the cell entering the pore, which is in qualitative agreement with the microvideographic observations.

Key words: nonlinear, aeroelasticity, rotor/fuselage coupling, temporal finite element method (TEM), stability

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