Abstract
A shock tube facility was used for inducing relatively high acceleration on small spheres laid on the shock tube floor. The acceleration resulted from the drag force imposed by the post shock wave flow. Using double exposure holography, the sphere trajectory could be constructed accurately. Based upon such trajectories, the sphere drag coefficient was evaluated for a relatively wide range of Reynolds numbers (6000≤ Re ≤ 101000). It was found that the value obtained for the sphere drag coefficient were significantly larger than those obtained in a similar steady flow case.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bailey AB (1974) Sphere drag coefficient for supersonic speeds in continum are free-molecule flows. J Fluid Mech 65:401–410
Bailey AB, Hiatt J (1972) Sphere drag coefficients for a broad range of Mach and Reynolds numbers. AIAA J 10:1436–1440
Crowe CT, Nicholls JA, Morrison RB (1963) Drag coefficients of inert and burning particles accelerating in gas streams. In:9th Intl Symp on Combustion, Academic Press, New York, pp 395–406
Karanfilian SK, Kotas TJ (1978) Drag on a sphere in unsteady motion in a liquid at vest. J Fluid Mech 87:85–96
Newton I (1719) Principia Mathematica (see Mathematical Principles. University of California Press, Berkeley, 1967, pp 356–366)
Rudinger G (1970) Effective drag coefficient for gas-particle flow in shock tubes. ASME J Basic Eng Ser D92:165–172
Selberg BP, Nicholls JA (1968) Drag coefficient of small spherical particles. AIAA J 6:401–407
Sommerfeld M (1985) The unsteadiness of shock waves propagating through gas-particle mixtures. Exp in Fluids 3:197–206
Takayama K, Itoh K (1986) Unsteady drag over circular cylinders and aerofoils in transmit shock tube flows. Rep Inst High Speed Mech, Tohoku Univ 51:1–41
Temkin S, Mehta HK (1982) Droplet drag in an accelerating and decelerating flow. J Fluid Mech 116:297–313
Wolfram S (1988) Mathematica TM, A system for doing mathematics by computer. Addison-Wesley Publishing Company
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Igra, O., Takayama, K. (1992). Shock tube study of the drag coefficient of a sphere in a nonstationary flow. In: Takayama, K. (eds) Shock Waves. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77648-9_77
Download citation
DOI: https://doi.org/10.1007/978-3-642-77648-9_77
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-77650-2
Online ISBN: 978-3-642-77648-9
eBook Packages: Springer Book Archive