Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-20T07:45:00.136Z Has data issue: false hasContentIssue false

Experiments to investigate transport processes in the near wakes of disks in turbulent air flow

Published online by Cambridge University Press:  29 March 2006

W. Humphries
Affiliation:
Department of Applied Physics, University of Strathclyde, Glasgow
J. H. Vincent
Affiliation:
Department of Applied Physics, University of Strathclyde, Glasgow

Abstract

Experiments reported previously determined the detention time of airborne smoke particles momentarily trapped in the wake bubble behind a flat disk normal to smooth air flow. The dimensionless group H, the product of the detention time td and mainstream air velocity U divided by the disk diameter D, was found to be 7.44 for all combinations of U, D and the Reynolds number, a result that was consistent with a suggested physical model for particle transport across the bubble boundary. The work is now extended into the regime of turbulent free-stream flow, where H is seen to decrease with an increasing level of turbulence while the base pressure coefficient becomes more negative. At the same time, the length of the bubble decreases, as does the bubble shape factor (the ratio of bubble volume to surface area, non-dimensionalized with respect to D). A simple theoretical relationship between H and the base pressure coefficient is argued, and is found to be in good agreement with experiment.

An important conclusion from this work is that the free-stream turbulence parameter $\Lambda \equiv l_fk^{\frac{1}{2}}_f/DU $ (where lf and kf are the length scale and the kinetic energy of the free-stream turbulence respectively) controls the properties of the flow about the disk.

This work has potential applications in several areas of topical technological interest.

Type
Research Article
Copyright
© 1976 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

Baines, W. D. & Peterson, E. G. 1951 An investigation of flow through screens Trans. A.S.M.E. 73, 467480.Google Scholar
Bearman, P. W. 1971 An investigation of the forces on flat plates normal to a turbulent flow J. Fluid Mech. 46, 177198.Google Scholar
Carmody, T. 1963 Establishment of the wake behind a disk. Ph.D. thesis, University of Iowa.
Carmody, T. 1964 Establishment of the wake behind a disc. Trans. A.S.M.E. paper 64-FE-3.Google Scholar
Fail, R., Lawford, J. A. & Eyre, R. C. W. 1959 Low speed experiments on the wake characteristics of flat plates normal to an air stream. Aero. Res. Counc. R. & M. no. 3120.Google Scholar
Humphries, W. & Vincent, J. H. 1976 An experimental investigation of the detention of airborne smoke in the wake bubble behind a disk J. Fluid Mech. 73, 453464.Google Scholar
Launder, B. E. & Spalding, D. B. 1972 Mathematical Models of Turbulence. Academic.
Prandtl, L. 1945 Über ein neues Formelsystem für die ausgebildeten Turbulenz. Nachr. Akad. Wiss. Göttingen.Google Scholar
Rouse, H. 1960 Répartition de l’énergie dans les zones de décollement. Houille Blanche, no. 3, p. 221.Google Scholar