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The origin of secondary flow in turbulent flow along a corner

Published online by Cambridge University Press:  29 March 2006

F. B. Gessner
F. B. Gessner
Affiliation:
Department of Mechanical Engineering, University of Washington
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Abstract

The mechanisms which initiate secondary flow in developing turbulent flow along a corner are examined on the basis of both energy and vorticity considerations. This is done by experimentally evaluating the terms of an energy balance and vorticity balance applied to the mean motion along a corner bisector. The results show that a transverse flow is initiated and directed towards the corner as a direct result of turbulent shear stress gradients normal to the bisector. The results further indicate that anisotropy of the turbulent normal stresses does not play a major role in the generation of secondary flow. Possible extensions of the present results to other related flow situations are ahstrated and discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 58 , Issue 1 , 20 March 1973 , pp. 1 - 25
Copyright
© 1973 Cambridge University Press

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References

Brundrett, E. 1963 The production and diffusion of vorticity in channel flow. Dept. Mech. Engng, University of Toronto, Rep. TP 6032.Google Scholar
Brundett, E. & Baines, W. D. 1964 The production and diffusion of vorticity in duct flow. J. Fluid Mech. 19, 375–394.Google Scholar
Champagne, F. H., Sleiceier, C. A. & Wehrmann, 0. H. 1967 Turbulence measurements with inclined hot wires. Part 1. Heat transfer experiments with inclined hot-wire. J. Fluid Mech. 28, 153–175.Google Scholar
Eichelbrenner, E. A. & Preston, J. H. 1971 On the role of secondary flow in turbulent boundary layers in corners (and salients). J. Mécanique, 10, 91–112.Google Scholar
Eichelbrenner, E. A. & Toan, N. K. 1969 A propos des vitesses secondaires dans la couche limite turbulente à l'intérieur d'un dièdre. Comptes Rendus, 269, 869–872.Google Scholar
Einstein, H. A. & Li, H. 1958 Secondary currents in straight channels. Am. Ceophys. Un. 39, 1085–1088.Google Scholar
Elder, J. W. 1960 The flow past a flat plate of finite width. J. Pluid Mech. 5, 133–153.Google Scholar
Foss, J. & Jones, J. B. 1968 Secondary flow effects in a bounded rectangular jet. J. Bagic Engng, Tram. A.S.M.E. 90, 241–248.Google Scholar
Gessner, F. B. 1964 Turbulence and mean-flow characteristics of fully developed flow in rectangular channels. Ph.D. thesis, Purdue University.
Gessner, F. B. & Jones, J. B. 1961 A preliminary study of turbulence characteristics of flow along a corner. J. Basic Engng, Trans. A.S.M.E. 83, 657–662.Google Scholar
Gessner, F. B. & Jones, J. B. 1966 On some aspects of fully developed turbulent flow in rectangular channels. J. Pluid Mech. 23, 689–713.Google Scholar
Hill, J. C. & Sleicher, C. A. 1969 Equations for errors in turbulent measurements with inclined hot wires. Phys. Fluids, 12, 1126–1127.Google Scholar
Hinze, J. O. 1959 Turbulence. McGraw-Hill.
Hinze, J. O. 1967 Secondary currents in wall turbulence. Phys. Fluids, 10 (suppl.), S 122–S125.Google Scholar
Hoagland, L. L. 1960 Fully developed turbulent flow in straight rectangular ducts secondary flow, its cause and effect on the primary flow. Ph.D. thesis, Department of Mechanical Engineering, Massachusetts Institute of Technology.
Nikuradse, J. 1926 Untersuchungen uber die Geschwindigkeitsverteilung in turbulenten Strijmungen. Thesis, Gottingen. (See also Forschungsh. Ver. dtsch. Ing., 281.)
Nikuradse, J. 1930 Turbulente Stromung in nicht kreisformigen Rohren. Ing. Arch. 1, 306–332.Google Scholar
Perkins, H. J. 1970 The formation of streamwise vorticity in turbulent flow. J. Fluid Mech. 44, 721–740.Google Scholar
Prandtl, L. 1926 Über die ausgebildete Turbulenz. Verh. 2nd Int. Kong. für Tech. Mech. Zürich, pp. 62–75. (Trans. N.A.C.A. Tech. Memo. no. 435.)Google Scholar
Prandtl, L. 1952 Essentials of Fluid Dymmics. London: Blackie.
Townsend, A. A. 1961 Turbulence. In Handbook of Fluid Dynamics (ed. V. L. Streeter), §§10.1-10.33. McGraw-Hill.
Zamir, M. & Young, A. D. 1970 Experimental investigation of the boundary layer in a streamwise corner. Aero. Quart. 21, 313–339.Google Scholar