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Plane turbulent buoyant jets. Part 1. Integral properties

  • Nikolas E. Kotsovinos (a1) (a2) and E. J. List (a1)

An integral technique suggested for the analysis of turbulent jets by Corrsin & Uberoi (1950) and Morton, Taylor & Turner (1956) is re-examined in an attempt to improve the description of the entrainment. It is determined that the hypothesis of Priestley & Ball (1955), that the entrainment coefficient is a linear function of the jet Richardson number, is reasonable, and that two empirically determined plume parameters are sufficient to describe the transition of buoyant jets to plumes. The results of a series of experiments in which both time-averaged velocity and time-averaged temperature profiles were recorded in a substantial number of plane turbulent buoyant jets of varying initial Richardson numbers are used to verify the basic ideas. In addition, measurements of the mean tracer flux in a series of buoyant jets indicate that as much as 40% of the transport in plumes is by the turbulent flux.

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Bradbury, L.1965 The structure of the self-preserving turbulent plane jet. J. Fluid Mech. 23, 3164.
Brooks, N. H. & Koh, R. C. Y.1965 Discharge of sewage effluent from a line source into a stratified ocean. 11th Cong. Int. Assoc. Hydraul. Res. paper 2.19.
Cormack, D. E.1975 Studies of a phenomenological turbulence model. Ph.D. thesis, California Institute of Technology, Pasadena.
Corrsin, S. & Uberoi, M.1950 Further experiments on the flow and heat transfer in a heated turbulent air jet. N.A.C.A. Rep. no. 998.
Crow, S. C. & Champagne, F. H.1971 Orderly structure in jet turbulence. J. Fluid Mech. 48, 547591.
Hegge Zijnen, B. G. Van Der1958 Measurements of the distribution of heat and matter in a plane turbulent jet of air. Appl. Sci. Res. 7, 277292.
Jenkins, P. E. & Goldschmidt, V. W.1973 Mean temperature and velocity in a plane turbulent jet. Trans. A.S.M.E., J. Fluids Engng 95, 581584.
Kotsovinos, N. E.1975 A study of the entrainment and turbulence in a plane buoyant jet. Ph.D. thesis, California Institute of Technology, Pasadena.
Lee, S. L. & Emmons, H. W.1961 A study of natural convection above a line fire. J. Fluid Mech. 11, 353368.
List, E. J. & Imberger, J.1973 Turbulent entrainment in buoyant jets and plumes. J. Hydraul. Div., Proc. A.S.C.E. 99 (HY9), 14611474.
List, E. J. & Imberger, J.1975 Closure of discussion to ‘Turbulent entrainment in buoyant jets and plumes’. J. Hydraul. Div., Proc. A.S.C.E. 101 (HY5), 617620.
Lumley, J. L. & Khajeh-nouri, B.1974 Computational modeling of turbulent transport. Adv. in Geophysics, 18A: 162192.
Miller, D. R. & Comings, E. W.1957 Static pressure distribution in the free turbulent jet. J. Fluid Mech. 3, 116.
Morton, B. R.1959 Forced plumes. J. Fluid Mech. 5, 151163.
Morton, B., Taylor, G. I. & Turner, J. S.1956 Turbulent gravitational convection from maintained and instantaneous sources. Proc. Roy. Soc. A 234, 123.
Priestley, C. H. B. & Ball, F. K.1955 Continuous convection from an isolated source of heat. Quart. J. Roy. Met. Soc. 81, 144157.
Reichardt, H.1942 Gesetzmassigkeiten der freien Turbulenz. VDI Forschungsheft 13, 122.
Rouse, H., Yih, C.-S. & Humphreys, H. W.1952 Gravitational convection from a boundary source. Tellus, 4, 201210.
Saffman, P. G.1970 A model of inhomogeneous turbulent flow. Proc. Roy. Soc. A 317, 417433.
Schlichting, H.1960 Boundary Layer Theory, 4th edn. McGraw-Hill.
Stevenson, W.1970 Optical frequency shifting by means of a rotating diffraction grating. Appl. Optics 9, 649652.
Stewart, R. W.1956 Irrotational motion associated with free turbulent flows. J. Fluid Mech. 1, 593606.
Taylor, G. I.1932 The transport of vorticity and heat through fluids in turbulent motion. Proc. Roy. Soc. A 135, 685702.
Taylor, G. I.1958 Flow induced by jets. J. Aero. Sci. 25, 464465.
Tollmien, W.1926 Die Berechnung turbelenter Ausbreitungsvorgange. Z. angew. Math. Mech. 6, 468478.
Townsend, A. A.1975 The Structure of Turbulent Shear Flow. Cambridge University Press.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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