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Two-dimensional reattaching jet flows including the effects of curvature on entrainment

Published online by Cambridge University Press:  28 March 2006

R. A. Sawyer
R. A. Sawyer
Affiliation:
Engineering Department, Cambridge University
Now at the Department of Aeronautical Engineering, University of Bristol.
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Abstract

The analysis given previously for predicting the average pressure and length of the region of recirculating flow enclosed by a low-speed turbulent jet, issuing parallel to a flat plate, has been modified to take into account the different rates of entrainment by the two edges of the curved jet, the initial mixing region and the pressure forces near reattachment. There is improved correlation between theory and experiment. The analysis has been applied to the flow due to a jet emerging at an angle to a flat plate, and gives good prediction of the length and average pressure of the recirculation region for a particular value of an entrainment-ratio parameter.

Curvature has a considerable effect on the rates of entrainment, but a first-order mixing-length theory indicates that this need not necessarily be accompanied by a marked deviation in jet velocity profile from that of a plane jet.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 17 , Issue 4 , December 1963 , pp. 481 - 498
Copyright
© 1963 Cambridge University Press

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References

Bourque, C. 1959 M.Sc. Thesis, University of Laval.
Bourque, C. & Newman, B. G. 1960 Reattachment of a two-dimensional incompressible jet to an adjacent flat plate. Aero. Quart. 11, 201.Google Scholar
Dodds, I. J. 1960 Ph.D. Thesis, University of Cambridge.
Görtler, H. 1942 Berechnung von Aufgaben der freien Turbulenz auf Grund eines neuen Näherungsansatzes. Z. angew. Math. Mech. 22, 244.Google Scholar
Head, M. R. 1958 Entrainment in the turbulent boundary layer. Aero. Res. Counc., London, R. & M. no. 3152.Google Scholar
Liepmann, H. W. & Laufer, J. 1947 Investigations of free turbulent mixing. NACA TN, no. 1257.Google Scholar
Miller, D. R. & Comings, E. W. 1960 Force-momentum fields in a dual-jet flow. J. Fluid Mech. 7, 237.Google Scholar
Newman, B. G. 1961 The deflection of plane jets by adjacent boundaries–Coanda effect. Boundary Layer and Flow Control, p. 232. London: Pergamon Press.
Prandtl, L. 1925 Über die ausgebildete Turbulenz. Z. angew. Math. Mech. 5, 136.Google Scholar
Prandtl, L. 1929 Influence of stabilizing forces on turbulence. Vorträge aus dem Gebiete der Aerodynamik und verwandte Gebiete, Aachen 1929. Berlin: Springer (1930).
Reichardt, H. 1942 Gesetzmässigkeiten der freien Turbulenz. VDI-Forsch., p. 414.Google Scholar
Sawyer, R. A. 1960 The flow due to a two-dimensional jet issuing parallel to a flat plate. J. Fluid Mech. 9, 543.Google Scholar
Sawyer, R. A. 1962 Two-dimensional turbulent jets with adjacent boundaries. Ph.D. Thesis, University of Cambridge.
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Wattendorf, F. L. 1935 A study of the effect of curvature on fully developed turbulent flow. Proc. Roy. Soc. A, 148, 565.Google Scholar
Wilcken, H. 1930 Turbulente Grenzschichten an gewölbten Wänden. Ingen.-Arch. 1, 357.Google Scholar