Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-26T06:47:04.187Z Has data issue: false hasContentIssue false
  • English
  • Français

The near field in the mixing of a round jet with a cross-stream

Published online by Cambridge University Press:  11 April 2006

Z. M. Moussa ,
John W. Trischka  and
S. Eskinazi
Z. M. Moussa
Affiliation:
Carrier Corporation, Syracuse, New York 13201
John W. Trischka
Affiliation:
Department of Physics, Syracuse University, New York 13210
S. Eskinazi
Affiliation:
Department of Mechanical and Aerospace Engineering, Syracuse University, New York 13210
Get access Rights & Permissions [Opens in a new window]

Abstract

In the mixing of a jet with a cross-stream, it is found that in the near field, defined as the region of the flow from the jet exit to a distance of a few diameters downstream of this exit, a considerable amount of dynamical adjustment takes place. This near-field region characterizes the subsequent behaviour and development of the jet, its wake and the cross-stream in the vicinity of this mixing region. The rapid evolution of the flow gives rise to a pair of bound vortices attached to the lee side of the jet boundary, to fast development of the turbulent and mean vorticity, to a vortex-shedding system, and to the largest rates of entrainment of cross-stream flow into the jet. Furthermore, it is found that the geometrical configuration of the boundaries at the jet exit plays an important role in the mixing and development processes.

An intrinsic method is proposed for the delineation of the flow boundaries between the jet and the cross-stream. Calculations of mass, momentum and vorticity fluxes have been made. The vorticity flux gives evidence of the rapid stretching and tilting of the vorticity vector field in the near-field region.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 80 , Issue 1 , 4 April 1977 , pp. 49 - 80
Copyright
© 1977 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

Bosanquet, C. & Pearson, J. L. 1936 The spread of smoke and gases from chimneys. Trans. Faraday Soc. 32, 1249.Google Scholar
Chassaing, P., George, J., Claria, A. & Sananes, F. 1974 Physical characteristics of subsonic jets in a cross-stream. J. Fluid Mech. 62, 41.Google Scholar
Chopra, K. P. & Hubert, L. F. 1964 Kármán vortex streets in earth's atmosphere. Nature, 203, 1341.Google Scholar
Eskinazi, S. 1975 Fluid Mechanics and Thermodynamics of our Environment, p. 316. Academic.
Fankhauser, J. C. 1971 Thunderstorm-environment interactions determined from aircraft and radar observations. Mon. Weather Rev. 99, 171.Google Scholar
Fay, J. A. 1973 Buoyant plumes and wakes. Ann. Rev. Fluid Mech. 5, 151.Google Scholar
Fujita, T. & Grandoso, H. 1968 Split of a thunderstorm into anticyclonic and cyclonic storms and their motion as determined from numerical model experiments. J. Atmos. Sci. 25, 416.Google Scholar
Hewett, T. A., Fay, J. A. & Hoult, D. P. 1971 Laboratory experiments of smoke stack plumes in a stable atmosphere. Atmos. Environ. 5, 767.Google Scholar
Holland, J. Z. 1953 A meteorological survey of the Oak Ridge area. Oak Ridge Nat. Lab., Tennessee, Rep. USAEC ORO–99.Google Scholar
Jordinson, R. 1956 Flow in a jet directed normal to the wind. Aero. Res. Counc. R. & M. no. 3074.Google Scholar
Kamotani, Y. & Greber, I. 1972 Experiments on a turbulent jet in a cross flow. A.I.A.A. J. 10, 1425.Google Scholar
Keffer, J. F. & Baines, W. D. 1973 The round turbulent jet in a cross-wind. J. Fluid Mech. 15, 481.Google Scholar
Laikhtman, D. L. 1961 Physics of the boundary layer of the atmosphere. GIMIZ Gidrometeorol. Izdate'stvo, Leningrad, p. 189.
Lucas, D. H. 1958 The atmospheric pollution of cities. Int. J. Air Pollution, 1, 71.Google Scholar
Mcallister, J. D. 1968 A momentum theory for the effects of cross flow on incompressible turbulent jets. Ph.D. dissertation, University of Tennessee.
Mcmahon, H. M., Hester, D. D. & Palfrey, J. G. 1971 Vortex shedding from a turbulent jet in a cross-wind. J. Fluid Mech. 48, 73.Google Scholar
Morton, B. R., Taylor, G. I. & Turner, J. S. 1956 Proc. Roy. Soc. A 234, 1–23.
Moussa, Z. 1976 The near field flow of an axisymmetric jet in a cross-stream. Ph.D. dissertation, Syracuse University.
Pratte, B. D. & Baines, W. D. 1967 Profiles of the round turbulent jet in a cross flow. J. Hydraul. Div. A.S.C.E. HY 6, 53.
Priestley, C. H. B. 1956 A working theory of the bent-over plume of hot gas. Quart. J. Met. Soc. 82, 165.Google Scholar
Slawson, P. R. & Csanady, G. T. 1967 On the mean path of buoyant, bent-over chimney plumes. J. Fluid Mech. 28, 311.Google Scholar
Sutton, O. G. 1932 Proc. Roy. Soc. A 135, 143.
Thorarinsson, S. & Vonnegut, B. 1964 Whirlwinds produced by the eruption of Surtsey Volcano. Bull. Am. Met. Soc. 45, 440.Google Scholar
Turner, J. S. 1969 Buoyant plumes and thermals. Ann. Rev. Fluid Mech. 1, 29.Google Scholar
Whittingham, H. E. 1959 Fire whirlwinds at Imbil. Austr. Met. Mag. 25, 59.Google Scholar