Research Article
Mar 1973
Surface Jet at Small Richardson Numbers
Authors: Frank Engelund and Flemming Bo PedersenAuthor Affiliations
Publication: Journal of the Hydraulics Division
Volume 99, Issue 3
Abstract
The spreading of a jet discharged horizontally at the surface of an initially quiescent water of larger density is treated analytically. The equations of continuity and of mass conservation are derived as well as a momentum equation for the longitudinal and for the transverse direction. The entrainment of ambient water into the jet is included in the analysis. The four partial differential equations thus obtained are then transformed into ordinary differential equations by assuming similarity of the velocity profiles and of the density profiles, respectively. An exact solution of the equations is obtained for the case of small Richardson numbers. From this the following conclusions are drawn: the jet thickness is proportional to the distance from the outlet. The velocity profiles, as well as the density profiles, follow a Gaussian distribution.
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Published In
Journal of the Hydraulics Division
Volume 99 • Issue 3 • March 1973
Pages: 405 - 416
Copyright
© 1973 American Society of Civil Engineers.
History
Published in print: Mar 1973
Published online: Feb 3, 2021
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Authors
Affiliations
Frank Engelund
Prof. of Hydr., Inst. of Hydrodynamics and Hydr. Engrg., Tech. Univ. or Denmark, Copenhagen, Denmark
Flemming Bo Pedersen
Research Engr., Inst. of Hydrodynamics and Hydr. Engrg., Tech. Univ. of Denmark, Copenhagen, Denmark
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