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Sphere drag coefficient for subsonic speeds in continuum and free-molecule flows
Published online by Cambridge University Press: 29 March 2006
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.
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- © 1974 Cambridge University Press
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.
Maxworthy, T.
1965
Accurate measurements of sphere drag at low Reynolds numbers
J. Fluid Mech.
23,
369–372.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.
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