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Prog. Theor. Phys. Vol. 74 No. 2 (1985) pp. 272-287

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Drag on a Gravitating Sphere Moving through a Gas

Hidenori Takeda, Takuya Matsuda, Keisuke Sawada* and Chushiro Hayashi**

Department of Aeronautical Engineering, Kyoto University, Kyoto 606
*Aircraft Engineering Division, Kawasaki Heavy Industry, Kakamigahara, Gifu 504
**Momoyama Yogoro-cho 1, Fushimi-ku, Kyoto 612

(Received March 16, 1985)

Abstract:

The gas drag plays important roles on the process of planetary formation. Former calculations of this process used the drag coefficient of a gravity free body, but the coefficient is expected to change significantly when the effect of gravity is taken into account. The purpose of this paper is to find how the drag on a body depends on gravitational force in order to estimate a correct time scale for planetary growth. Numerical calculations of the drag on a gravitating sphere of mass M* and radius r0 travelling in a gascous medium with constant velocity are presented. A relation Ct =a+bΓ2 for drag coefficient, Ct, gives close fit with the calculated values for large Ct where Γ=GM* /r0 V∞2. For supersonic flow, Ct depends strongly on Γ and b is as large as 10∼30. The time scale for planetary formation will probably be reduced by a factor of 2∼3.


URL : http://ptp.ipap.jp/link?PTP/74/272/
DOI : 10.1143/PTP.74.272

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 92 No. 5 (1994) pp. 939-960 :
    Numerical Simulation of Viscous Flow by Smoothed Particle Hydrodynamics
    Hidenori Takeda, Shoken M. Miyama and Minoru Sekiya
  2. Progress of Theoretical Physics Vol. 104 No. 5 (2000) pp. 955-970 :
    Gas Drag on a Rotating Body with Gravity
    Hidenori Takeda and Yoshitsugu Nakagawa
  3. Progress of Theoretical Physics Supplement No.96 (1988) pp. 196-210 :
    Chapter 17. Drag on a Gravitating Body
    Hidenori Takeda
  4. Progress of Theoretical Physics Supplement No.96 (1988) pp. 239-255 :
    Chapter 20. Accumulation Process of Planetesimals to the Planets
    Keiji Ohtsuki and Yoshitsugu Nakagawa

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