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Static pressure distribution in the free turbulent jet

Published online by Cambridge University Press:  28 March 2006

David R. Miller
Affiliation:
Purdue University, Lafayette, Indiana
Edward W. Comings
Affiliation:
Purdue University, Lafayette, Indiana

Abstract

Measurements of mean velocity, turbulent stress and static pressure were made in the mixing region of a jet of air issuing from a slot nozzle into still air. The velocity was low and the two-dimensional flow was effectively incompressible. The results are examined in terms of the unsimplified equations of fluid motion, and comparisons are drawn with the common assumptions and simplifications of free jet theory. Appreciable deviations from isobaric conditions exist and the deviations are closely related to the local turbulent stresses. Negative static pressures were encountered everywhere in the mixing field except in the potential wedge region immediately adjacent to the nozzle. Lateral profiles of mean longitudinal velocity conformed closely to an error curve at all stations further than 7 slot widths from the nozzle mouth. An asymptotic approach to complete self-preservation of the flow was observed.

Type
Research Article
Copyright
© 1957 Cambridge University Press

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References

Alexander, L. G., Baron, T. & Comings, E. W. 1953 University of Illinois, Engineering Experiment Station, Bull. Ser. no. 413.
Corrsin, S. 1943 Nat. Adv. Comm. Aero., Wash., Wartime Rep. no. W-94.
Fage, A. 1936 Proc. Roy. Soc. A, 155, 576596.
Förthmann, E., 1934 Ing.-Arch. 5, 4254.
Goldstein, S. 1936 Proc. Roy. Soc. A, 155, 570575.
Goldstein, S. (Ed.) Modern Developments in Fluid Dynamics, Vol. 1. Oxford Clarendon Press.
Görtler, H. 1942 Z. angew. Math. Mech. 22, 244254.
Kármán, T. von. 1934 Proc. 4th Int. Congress for Appl. Mech. 5491.
Laurence, J. C. & Landes, L. G. 1952 Nat. Adv. Comm. Aero., Wash., Tech. Note no. 2843.
Liepmann, H. W. & Laufer, J. 1947 Nat. Adv. Comm. Aero., Wash., Tech. Note no. 1257.
Miller, D. R. 1957 Ph. D. Dissertation, Purdue University.
Pai, S.-I. 1954 Fluid Dynamics of Jets. Princeton: Van Nostrand.
Prandtl, L. 1942 Z. angew Math. Mech. 22, 241243.
Reichardt, H. 1941 Z. angew. Math. Mech. 21, 257264.
Reichardt, H. 1942 VDI Forschungsheft 414.
Schlichting, H. 1930 Ing.-Arch. 1, 533.
Schlichting, H. 1955 Boundary Layer Theory. New York: McGraw-Hill.
Taylor, G. I. 1938 Proc. 5th Int. Cong. for Appl. Mech. 294309.
Tollmien, W. 1926 Z. angew. Math. Mech. 6, 112.
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Viktorin, K. 1941 Forsch. Geb. Ingen. 12, 1630.
Warren, W. R. 1955 J. Aero. Sci. 22, 205207.