Hostname: page-component-7479d7b7d-767nl Total loading time: 0 Render date: 2024-07-12T04:14:11.988Z Has data issue: false hasContentIssue false

A visual investigation of turbulence in stagnation flow about a circular cylinder

Published online by Cambridge University Press:  19 April 2006

Willy Z. Sadeh
Affiliation:
Colorado State University, Fort Collins, Colorado 80523
Herbert J. Brauer
Affiliation:
Colorado State University, Fort Collins, Colorado 80523

Abstract

A diagnostic visualization study of turbulence in stagnation flow around a circular cylinder was carried out to gain physical insight into the coherent structure of turbulence in flow around a bluff body advanced by the vorticity-amplification theory. The visualization was conducted at a cylinder-diameter Reynolds number of 8 × 103 utilizing titanium dioxide white smoke for an approaching flow containing turbulence at scales larger than the neutral wavelength of the stagnation flow. Analyses of the flow events focused on tracing out the temporal and spatial evolution of a cross-vortex tube outlined by the entrained smoke filaments from its emergence near the stagnation zone through its penetration into the cylinder boundary layer.

The selective stretching of cross-vortex tubes, their streamwise tilting, the emergence of an organized turbulent flow pattern near the stagnation zone, the interaction of the amplified vorticity with the body laminar boundary layer and the growth of a turbulent boundary layer were revealed by the visualization. In particular, the visualization indicated that the cross-vortex tubes conveyed by the diverging stagnation flow constitute a coherent substructure within the overall turbulent flow that is triggered to its fullest manifestation by the stretching mechanism.

Type
Research Article
Copyright
© 1980 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

Bearman, P. W. 1972 Some measurements of the distortion of turbulence approaching a two-dimensional bluff body. J. Fluid Mech. 53, 451467.Google Scholar
Dean, R. C. 1955 Aerodynamic measurements. Gas Turbine Lab. Rep. pp. 6165. Massachusetts Institute of Technology.Google Scholar
Hunt, J. C. R. 1973 A theory of turbulent flow round two-dimensional bluff bodies. J. Fluid Mech. 61, 625706.Google Scholar
Hurd, C. W., Chesky, K. P. & Shapiro, A. H. 1953 Influence of viscous effects on impact tubes. Trans. A.S.M.E., J. Appl. Mech. 20, 253256.Google Scholar
Kestin, J. 1966 The effect of freestream turbulence in heat transfer rates. Advances in Heat Transfer, vol. 3, pp. 132. Academic.
Kestin, J., Brun, E. & Diep, G. B. 1966 Sur un nouveau type de tourbillons longitudinaux dans l’écoulement autour d'un cylindre. C. R. Acad. Sci. Paris A 263, 742745.Google Scholar
Kestin, J. & Maeder, P. F. 1957 Influence of turbulence on the transfer of heat from cylinders. N.A.C.A. Tech. Note 4018.Google Scholar
Kestin, J. & Wood, R. T. 1970 On the stability of two-dimensional stagnation flow. J. Fluid Mech. 44, 461479.Google Scholar
Ower, E. & Pankhurst, R. C. 1966 The measurement of airflow, 4th edn, p. 46. Pergamon.
Piercy, N. A. & Richardson, E. G. 1928 The variation of velocity amplitude close to the surface of a cylinder moving through a viscous fluid. Phil. Mag. 6, 970977.Google Scholar
Piercy, N. A. V. & Richardson, E. G. 1930 The turbulence in front of a body moving through a viscous fluid. Phil. Mag. 9, 10381040.Google Scholar
Roshko, A. 1954 On the development of turbulent wakes from vortex streets. N.A.C.A. Tech. Rep. 1191.Google Scholar
Sadeh, W. Z., Sutera, S. P. & Maeder, P. F. 1970a Analysis of vorticity amplification in the flow approaching a two-dimensional stagnation point. Z. angew. Math. Phys. 21, 669716.Google Scholar
Sadeh, W. Z., Sutera, S. P. & Maeder, P. F. 1970b An investigation of vorticity amplification in stagnation flow. Z. angew. Math. Phys. 21, 717742.Google Scholar
Schlichting, H. 1968 Boundary-layer theory, 6th edn, pp. 154162. McGraw-Hill.
Sutera, S. P. 1965 Vorticity amplification in stagnation-point flow and its effect on heat transfer. J. Fluid Mech. 21, 513534.Google Scholar
Sutera, S. P., Maeder, P. F. & Kestin, J. 1963 On the sensitivity of heat transfer in the stagnation-point boundary layer to free-stream vorticity. J. Fluid Mech. 16, 497520.Google Scholar
Taylor, G. I. 1938 The spectrum of turbulence. Proc. Roy. Soc. A 164, 476490.Google Scholar
Traci, R. M. & Wilcox, D. C. 1975 Freestream turbulence effects on stagnation point heat transfer. A.I.A.A. J. 13, 890896.Google Scholar