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From free jets to clinging wall jets: The influence of a horizontal boundary on a horizontally forced buoyant jet
Phys. Rev. Fluids 2, 023501 – Published 8 February, 2017
DOI: https://doi.org/10.1103/PhysRevFluids.2.023501
Abstract
We investigate the incompressible turbulent jet formed when buoyant fluid is steadily ejected horizontally from a circular source into an otherwise quiescent uniform environment. As our primary focus, we introduce a horizontal boundary beneath the source. For sufficiently small separations, the jet attaches and clings to the boundary, herein the “clinging jet,” before, farther downstream, the jet is pulled away from the boundary by the buoyancy force. For larger source-boundary separations, the buoyant jet is free to rise under the action of the buoyancy force, herein the “free jet.” Based on measurements of saline jets in freshwater surroundings we deduce the conditions required for a jet to cling. We present a data set that spans a broad range of source conditions for the variation in volume flux (indicative of entrainment), jet perimeter, and jet centerline for both “clinging” and “free” jets. For source Froude numbers the data collapse when scaled, displaying universal behaviors for both clinging and free jets. Our results for the variation in the volume flux across horizontal planes, , show that within a few jet lengths of the source, for the clinging jet exceeds that of a free jet with identical source conditions. However, when examined in a coordinate following the jet centerline for free jets is greater. Finally, we propose a new parametrization for an existing integral model which agrees well with our experimental data as well as with data from other studies. Our findings offer the potential to tailor the dilution of horizontal buoyant jets by altering the distance at which they are released from a boundary.
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References (40)
- F. P. Ricou and D. B. Spalding, Measurements of entrainment by axisymmetrical turbulent jets, J. Fluid Mech. 11, 21 (1961).
- G. N. Abramovich, The Theory of Turbulent Jets (MIT Press, Cambridge, MA, 1963).
- B. R. Morton, G. Taylor, and J. S. Turner, Turbulent gravitational convection from maintained and instantaneous sources, Proc. R. Soc. London A 234, 1 (1956).
- B. R. Morton, Forced plumes, J. Fluid Mech. 5, 151 (1959).
- G. R. Hunt and N. B. Kaye, Lazy plumes, J. Fluid Mech. 533, 329 (2005).
- R. C. Y. Koh and N. H. Brooks, Fluid mechanics of waste-water disposal in the ocean, Annu. Rev. Fluid Mech. 7, 187 (1975).
- M. B. Glauert, The wall jet, J. Fluid Mech. 1, 625 (1956).
- B. E. Launder and W. Rodi, The turbulent wall jet: Measurements and modeling, Annu. Rev. Fluid Mech. 15, 429 (1983).
- D. J. Tritton, Physical Fluid Dynamics (Oxford Science Publications, Oxford, 1988).
- Y. B. Zel'dovich, The asymptotic laws of freely-ascending convective flows, Zhur. Eksper. Teor. Fiz. 7 (in Russian), English translation in Selected Works of Yakov Borisovich Zel'dovich, Vol. 1, Chemical Physics and Hydrodynamics, edited by J. P. Ostriker, G. I. Barenblatt, and R. A. Sunyaev (Princeton University Press, Princeton, 1992).
- G. Abraham, Horizontal jets in stagnant fluid of other density, J. Hydraulics Div. Proc. ASCE 91, 138 (1965).
- L. N. Fan and N. H. Brooks, Discussion of “Horizontal jets in stagnant fluid of other density”, by Gerrit Abraham, J. Hydraulics Div. Proc. ASCE 92, 423 (1966).
- L. N. Fan, Turbulent buoyant jets into stratified or flowing ambient fluids, Ph.D. thesis, California Institute of Technology, 1967.
- J. H. W. Lee and V. Cheung, Generalized Lagrangian model for buoyant jets in current, J. Environ. Eng. 116, 1085 (1990).
- G. H. Jirka, Integral model for turbulent buoyant jets in unbounded stratified flows. Part I: Single round jet, Environ. Fluid Mech. 4, 1 (2004).
- P. C. Yannopoulos and A. A. Bloutsos, Escaping mass approach for inclined plane and round buoyant jets, J. Fluid Mech. 695, 81 (2012).
- B. S. Ryskiewich and L. Hafetz, An experimental study of the free surface effect on a buoyant jet, Tech. Rep. U440-74-103, General Dynamics Corp. (1975).
- J. B. Riester, R. A. Bajura, and S. H. Schwartz, Effects of water temperature and salt concentration on the characteristics of horizontal buoyant submerged jets, ASME J. Heat Transfer 102, 557 (1980).
- R. J. Sobey, A. J. Johnston, and R. D. Keane, Horizontal round buoyant jet in shallow water, J. Hydraul. Eng. 114, 910 (1988).
- M. J. Davidson, M. Knudsen, and I. R. Wood, The behavior of a single, horizontally discharged, buoyant flow in a non-turbulent coflowing ambient fluid, J. Hydraul. Res. 29, 545 (1991).
- G. A. Kikkert, Buoyant jets with two and three-dimensional trajectories, Ph.D. thesis, University of Canterbury, Christchurch, New Zealand, 2006.
- S. N. Michas and P. N. Papanicolaou, Horizontal round heated jets into calm uniform ambient, Desalination 248, 803 (2009).
- A. J. Johnston and R. E. Volker, Round buoyant jet entering shallow water, J. Hydraul. Res. 31, 121 (1993).
- B. G. Newman, in The deflection of plane jets by adjacent boundaries: Coanda effect, Boundary Layer and Flow Control, Vol. 1, edited by V. G. Lachmann (Pergamon Press, New York, 1961), pp. 232–264.
- J. J. Sharp and B. D. Vyas, The buoyant wall jet, in Proceedings of the Institute of Civil Engineers, part 2, edited by Thomas Telford (ICE Publishing, 1977), Vol. 63, pp. 593–611.
- H. B. Fischer, E. J. List, R. C. Y. Koh, J. Imberger, and N. H. Brooks, Mixing in Inland and Coastal Waters (Academic, San Diego, 1979).
- I. K. Madni and R. H. Pletcher, Buoyant jets discharging nonvertically into a uniform, quiescent ambient: A finite-difference analysis and turbulence modeling, ASME J. Heat Transfer 99, 641 (1977).
- G. R. Hunt and H. C. Burridge, Fountains in industry and nature, Annu. Rev. Fluid Mech. 47, 195 (2015).
- W. D. Baines, A technique for the direct measurement of volume flux of a plume, J. Fluid Mech. 132, 247 (1983).
- C. Cenedese and S. B. Dalziel, Concentration and depth field determined by the light transmitted through a dyed solution, in Proceedings of the 8th International Symposium on Flow Visualization, Vol. 8 (1998), pp. 1–37.
- D. M. Allgayer and G. R. Hunt, On the application of the light-attenuation technique as a tool for non-intrusive buoyancy measurements, Exp. Thermal Fluid Sci. 38, 257 (2012).
- G. F. Lane-Serff, P. F. Linden, and M. Hillel, Forced, angled plumes, J. Hazard. Mater. 33, 75 (1993).
- J. S. Turner, Turbulent entrainment: The development of the entrainment assumption, and its application to geophysical flows, J. Fluid Mech. 173, 431 (1986).
- A. Ezzamel, P. Salizzoni, and G. R. Hunt, Dynamical variability of axisymmetric buoyant plumes, J. Fluid Mech. 765, 576 (2015).
- P. N. Papanicolaou and E. J. List, Investigations of round vertical turbulent buoyant jets, J. Fluid Mech. 195, 341 (1988).
- N. R. Panchapakesan and J. L. Lumley, Turbulence measurements in axisymmetric jets of air and helium. Part 2: Helium jet, J. Fluid Mech. 246, 225 (1993).
- G. A. Kikkert, M. J. Davidson, and R. I. Nokes, Buoyant jets with three-dimensional trajectories, J. Hydraul. Res. 48, 292 (2010).
- G. T. Csanady, Circulation in the Coastal Ocean (Springer, New York, 1982).
- P. O. Fanger and N. K. Christensen, Perception of draught in ventilated spaces, Ergonomics 29, 215 (1986).
- J. Canny, A computational approach to edge detection, IEEE Transactions on Pattern Analysis and Machine Intelligence, no. 6 (IEEE, 1986), pp. 679–698.