Applied Mathematics and Mechanics (English Edition) ›› 1983, Vol. 4 ›› Issue (6): 833-848.

• Articles • 上一篇    下一篇

THE CREEPING MOTION IN THE ENTRY REGION OF A SEMI-INFINITE CIRCULAR CYLINDRICAL TUBE

吴望一1, Richard Skalak2   

  1. 1. Department of Mechanics, Beijing University, Beijing;
    2. Department of Civil Engineering and Engineering Mechanics, Bjoengineeting Institute, Columbia University, New York
  • 收稿日期:1983-01-18 出版日期:1983-11-18 发布日期:1983-11-18

THE CREEPING MOTION IN THE ENTRY REGION OF A SEMI-INFINITE CIRCULAR CYLINDRICAL TUBE

Wu Wang-yi1, Richard Skalak2   

  1. 1. Department of Mechanics, Beijing University, Beijing;
    2. Department of Civil Engineering and Engineering Mechanics, Bjoengineeting Institute, Columbia University, New York
  • Received:1983-01-18 Online:1983-11-18 Published:1983-11-18

摘要: In 1969, Leu and Fung considered the inlet flow into a semi-infinite circular cylinder at low Reynolds number. Dagan et al[2] in 1982 obtained a series Solution for the creeping motion through a pore of finite length directly. The numerical results obtained in [1] also describe the entrance flow in a tube of a finite, length as the Fourier integrals in the general solutions are replaced by Fourier series. In the present paper, the Fourier integralss are evaluated numerically and the velocity, pressure distribution and the stream function in the entry region of a somi infinite circular cylindrical tube is close to the factor 1.3 suggested by Lew and Fung[1].The collocation technique applied in the present paper is shown to converge rapidly and it should be useful in other similar problems.

关键词: pipeline flow, thermal transient, hydraulic transient, method of characteristics

Abstract: In 1969, Leu and Fung considered the inlet flow into a semi-infinite circular cylinder at low Reynolds number. Dagan et al[2] in 1982 obtained a series Solution for the creeping motion through a pore of finite length directly. The numerical results obtained in [1] also describe the entrance flow in a tube of a finite, length as the Fourier integrals in the general solutions are replaced by Fourier series. In the present paper, the Fourier integralss are evaluated numerically and the velocity, pressure distribution and the stream function in the entry region of a somi infinite circular cylindrical tube is close to the factor 1.3 suggested by Lew and Fung[1].The collocation technique applied in the present paper is shown to converge rapidly and it should be useful in other similar problems.

Key words: pipeline flow, thermal transient, hydraulic transient, method of characteristics

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