Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-28T06:47:18.958Z Has data issue: false hasContentIssue false
  • English
  • Français

Sphere drag coefficient for subsonic speeds in continuum and free-molecule flows

Published online by Cambridge University Press:  29 March 2006

A. B. Bailey
A. B. Bailey
Affiliation:
Aerospace Projects Branch, Von Kármán Gas Dynamics Facility, Arnold Engineering Development Center, Arnold Air Force Station, Tennessee 37389
Get access Rights & Permissions [Opens in a new window]

Abstract

An extensive series of measurements of sphere drag coefficients has been made in an aeroballistic range for a broad range of Reynolds and Mach numbers. These measurements have been compared with those obtained in other test facilities. As a result of this comparison it has been possible to suggest reasons for many of the inconsistencies in the earlier measurements and to establish more accurate values of the sphere drag coefficient for M∞ [lsim ] 0·2 and 10−2 [lsim ] Re∞ [lsim ] 107.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 65 , Issue 2 , 28 August 1974 , pp. 401 - 410
Copyright
© 1974 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Achenbach, E. 1972 Experiments on the flow past spheres at very high Reynolds numbers J. Fluid Mech. 54, 565–575.Google Scholar
Allen, M. S. 1900 On the motion of a sphere in a viscous liquid. Phil. Mag. 50 (5), 323, 519.Google Scholar
Arnold, H. D. 1911 Limitations imposed by slip and inertia terms upon Stokes law for the motion of spheres through liquids. Phil. Mag. 22 (6), 755–775.Google Scholar
Bacon, D. L. & Reid, E. B. 1924 The resistance of spheres in wind tunnels and in air. N.A.C.A. Rep. no. 185.Google Scholar
Bailey, A. B. & Hiatt, J. 1971 Free-flight measurements of sphere drag at subsonic, transonic, supersonic and hypersonic speeds for continuum, transition and near-free-molecular flow conditions. Arnold Engng Development Center Rep. AEDC-TR-70–291.Google Scholar
Brush, L., Fox, D. G. & Ho, H. W. 1969 Accelerated particle motion with applications to sediment suspensions in open channels. IUTAM Symp. on Flow of Fluid–Solid Mixtures, University of Cambridge.
Crowe, C. T., Babcock, W. R. & Willoughby, P. G. 1971 Drag coefficient for particles in rarefied low Mach number flows. Int. Symp. on Two-phase Systems, Technion, Haifa, Israel, paper 3–3.
Flachsbart, O. 1927 Neue Untersuchungen über den Luftwiderstand von Kugeln Phys. Z. 28, 461–469.Google Scholar
Heinrich, H. G., Niccum, R. J. & Mark, E. L. 1963 The drag coefficient of a sphere corresponding to a one meter Robin sphere descending from 260000 ft altitude (Reynolds numbers 789 to 23, 448, Mach numbers 0·056 to 0·9). University of Minnesota Contract Rep. AF19(604)–8–34.Google Scholar
Hill, M. K. & Zukoski, E. E. 1972 Behaviour of spherical particles at low Reynolds numbers in a fluctuating transitional flow – preliminary experiments. California Institute of Technology, Aerospace Res. Lab. Rep. ARL–72–0017.Google Scholar
Hoerner, S. F. 1958 Fluid-Dynamic Drag. Published by the author, Midland Park, New Jersey.
Liebster, M. 1927 Über den Widerstand von Kugeln Ann. Phys. 83, 541–562.Google Scholar
Lunnon, R. G. 1926 Fluid resistance to moving spheres. Proc. Roy. Soc. A110, 302–326.Google Scholar
Lunnon, R. G. 1928 Fluid resistance to moving spheres. Proc. Roy. Soc. A118, 680–694.Google Scholar
Maxworthy, T. 1965 Accurate measurements of sphere drag at low Reynolds numbers J. Fluid Mech. 23, 369–372.Google Scholar
Millikan, C. B. & Klein, A. L. 1933 The effect of turbulence. Aircraft Engng, p. 169.Google Scholar
Newton, I. 1719 Principia Mathematica. (See Mathematical Principles, pp. 356–366. University of California Press, Berkeley 1967.)
Roos, F. W. & Willmarth, W. W. 1971 Experimental results on sphere and disk drag A.I.A.A.J. 9, 285–291.Google Scholar
Schmiedel, J. 1928 Experimentelle Untersuchungen über die Fallbewegung von Kugeln und Scheiben in reibenden Flüssigkeiten Phys. Z. 29, 593–610.Google Scholar
Shakespear, G. A. 1914 Experiments on the resistance of the air to falling spheres. Phil. Mag. 28 (6), 728–734.Google Scholar
Sivier, K. R. 1967 Subsonic sphere drag measurements at intermediate Reynolds number. Ph.D. dissertation, University of Michigan.
Vlajinac, M. & Covert, E. E. 1972 Sting-free measurements of sphere drag in laminar flow J. Fluid Mech. 54, 385–392.Google Scholar
Wieselsberger, C. 1922 Weitere Feststellungen über die Gesetze des Flüssigkeits- und Luftwiderstandes Z. Phys. 23, 219–224.Google Scholar
Zarin, N. A. 1969 Measurement of non-continuum and turbulence effects on subsonic sphere drag. Ph.D. thesis, University of Michigan.