Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (2): 131-148.

• 论文 • 上一篇    下一篇

ANALYTICAL SOLUTIONS OF SINGULARITIES MOVING WITH AN ARBITRARY PATH WHEN TWO FLUIDS ARE PRESENT

何友声, 鲁传敬, 陈学农   

  1. Shanghai Jiaotong University, Shanghai
  • 收稿日期:1990-05-01 出版日期:1991-02-18 发布日期:1991-02-18
  • 基金资助:
    National Natural Science Foundation of China

ANALYTICAL SOLUTIONS OF SINGULARITIES MOVING WITH AN ARBITRARY PATH WHEN TWO FLUIDS ARE PRESENT

He You-sheng, Lu Chuan-jing, Chen Xue-nong   

  1. Shanghai Jiaotong University, Shanghai
  • Received:1990-05-01 Online:1991-02-18 Published:1991-02-18
  • Supported by:
    National Natural Science Foundation of China

摘要: The derivations are carried out for the velocity potentials of singularities moving with an arbitrary path either in the upper fluid or in the lower fluid with or without a horizontal bottom when two fluids are present. In such a case, the pressure distribution is no longer equal to a constant or zero at the free interface. Taking the influence of an upper fluid upon the lower fluid into consideration, a series of fundamental solutions in closed forms arc presented in this paper.

Abstract: The derivations are carried out for the velocity potentials of singularities moving with an arbitrary path either in the upper fluid or in the lower fluid with or without a horizontal bottom when two fluids are present. In such a case, the pressure distribution is no longer equal to a constant or zero at the free interface. Taking the influence of an upper fluid upon the lower fluid into consideration, a series of fundamental solutions in closed forms arc presented in this paper.

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