Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-19T11:46:23.212Z Has data issue: false hasContentIssue false
  • English
  • Français

The momentum flux in turbulent submerged jets

Published online by Cambridge University Press:  26 April 2006

N. E. Kotsovinos  and
P. B. Angelidis
N. E. Kotsovinos
Affiliation:
Democritus University of Thrace, 67100, Xanthi, Greece
P. B. Angelidis
Affiliation:
Democritus University of Thrace, 67100, Xanthi, Greece
Get access Rights & Permissions [Opens in a new window]

Abstract

Although the jet momentum flux has been traditionally accepted as constant, this is not in general true because a weak pressure field is induced in the ambient fluid with positive gradient and because the induced flow field carries momentum flux to the jet. The angle ϕ, at which the induced flow streamlines enter the jet, is the basic parameter which determines whether the jet momentum flux increases, remains constant or decreases. A theoretical solution is presented for the variation of the jet momentum flux in turbulent submerged jets in stationary ambient fluid. The solution presented in this paper generalizes previous theoretical solutions and is in good agreement with existing experimental results. The contribution of the induced pressure field relative to the induced velocity field in varying the jet momentum flux is investigated. The induced flow streamlines are calculated using non-constant jet momentum flux and are compared with Taylor's solution (where constant jet momentum flux was assumed).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 229 , August 1991 , pp. 453 - 470
Copyright
© 1991 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

Barcilon, V. 1964 Role of the Ekman layers in the stability of the symmetric regime obtained in a rotating annulus. J. Atmos. Sci. 21, 291–299.Google Scholar
Fein, J. S. & Pfeffer, R. L. 1976 An experimental study of the effects of Prandtl number on thermal convection in a rotating, differentially heated cylindrical annulus of fluid. J. Fluid Mech. 75, 81–112.Google Scholar
Fowlis, W. W. & Hide, R. 1965 Thermal convection in a rotating annulus of liquid: effect of viscosity on the transition between axisymmetric and non-axisymmetric flow regimes. J. Atmos. Sci. 22, 541–558.Google Scholar
Hide, R. & Mason, P. J. 1975 Sloping convection in a rotating fluid. Adv. Phys. 24, 47–100.Google Scholar
Mcintyre, M. E. 1968 The axisymmetric convective regime for a rigidly bounded rotating annulus. J. Fluid Mech. 32, 625–655.Google Scholar
Tokioka, T. 1970 A stability of axisymmetric flows in a rotating annulus. J. Met. Soc. Japan 48, 293–314.Google Scholar
Williams, G. P. 1967a Thermal convection in a rotating fluid annulus: part 1. The basic axisymmetric flow. J. Atmos Sci. 24, 144–161.Google Scholar
Williams, G. P. 1967b Thermal convection in a rotating fluid annulus: part 2. Classes of axisymmetric flow. J. Atmos Sci. 24, 162–174.Google Scholar
Williams, G. P. 1969 Numerical integration of the three-dimensional Navier—Stokes equations for incompressible flow. J. Fluid Mech. 37, 727–750.Google Scholar