TECHNICAL PAPERS
May 21, 2011

Reattached Turbulent Submerged Offset Jets on Rough Beds with Shallow Tailwater

Publication: Journal of Hydraulic Engineering
Volume 137, Issue 12

Abstract

This study investigates the characteristics of reattached plane turbulent offset jets in channels with rough beds and shallow tailwater depths. The flow consists of a deflecting free jet caused by the Coanda effect and the evolving wall jet past reattachment. In limited tailwater conditions, the jet flow is affected by the relative tailwater depth or the submergence parameter, which is defined with respect to the maximum B-jump at a negative step. The results show that for an offset height larger than the jet thickness, the forward-flow momentum, local maximum velocity, and wall shear stress decrease faster in the longitudinal direction in the offset jet than in plane turbulent wall jets. The influence of roughness on reattached offset jets appears to be less than that in submerged wall jets on a similar rough bed. The presented results and the comparative analysis with respect to wall jets in hydraulic jumps are significant for controlling and implementing similar flows on rough beds with variable downstream water levels.

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References

Adduce, C., and Sciortino, G. (2006). “Scour due to a horizontal turbulent jet: Numerical and experimental investigation.” J. Hydraul. Res., 44(5), 663–673.
Albayrak, I., Hopfinger, E. J., and Lemmin, U. (2008). “Near-field flow structure of a confined wall jet on flat and concave rough walls.” J. Fluid Mech., 606, 27–49.
Barenblatt, G. I., Chorin, A. J., and Prostokishin, V. M. (2005). “The turbulent wall jet: A triple-layered structure and incomplete similarity.” Proc. Natl. Acad. Sci. USA, 102(25), 8850–8853.
Carollo, F. G., Ferro, V., and Pampalone, V. (2007). “Hydraulic jumps on rough beds.” J. Hydraul. Eng., 133(9), 989–999.
Dey, S., Nath, T. K., and Bose, S. K. (2010). “Fully rough submerged plane wall-jets.” J. Hydro-Environ. Res., 4(4), 301–316.
Dey, S., and Sarkar, A. (2008). “Characteristics of turbulent flow in submerged jumps on rough beds.” J. Eng. Mech., 134(1), 49–59.
Ead, S. A., and Rajaratnam, N. (2001). “Plane turbulent surface jets in shallow tailwater.” J. Fluids Eng., 123(1), 121–127.
Ead, S. A., and Rajaratnam, N. (2002a). “Hydraulic jumps on corrugated beds.” J. Hydraul. Eng., 128(7), 656–663.
Ead, S. A., and Rajaratnam, N. (2002b). “Plane turbulent wall jets in shallow tailwater.” J. Eng. Mech., 128(2), 143–155.
Ead, S. A., and Rajaratnam, F. (2004). “Plane turbulent wall jets on rough boundaries with limited tailwater.” J. Eng. Mech., 130(10), 1245–1250.
Eriksson, J., Karlsson, R., and Persson, J. (1998). “An experimental study of a two-dimensional plane turbulent wall jet.” Exp. Fluids, 25(1), 50–60.
Gao, N., and Ewing, E. (2007). “Experimental investigation of planar offset attaching jets with small offset distances.” Exp. Fluids, 42(6), 941–954.
George, W. K., Abrahamsson, J. E., Karlsson, R. I., Löfdahl, L., and Wosnik, M. (2000). “A similarity theory for the turbulent plane wall jet without external stream.” J. Fluid Mech., 425, 367–411.
Gu, R. (1996). “Modeling two-dimensional turbulent offset jets.” J. Hydraul. Eng., 122(11), 617–624.
Hager, W. H., and Bretz, V. N. (1986). “Hydraulic jumps at positive and negative steps.” J. Hydraul. Res., 24(4), 237–253.
Hoch, J., and Jiji, L. M. (1981). “Two-dimensional turbulent offset jet boundary interaction.” Trans. of ASME J., Fluids Eng., 103(1), 154–161.
Hogg, A. J., Huppert, H. E., and Dade, W. B. (1997). “Erosion by planar turbulent wall jets.” J. Fluid Mech., 338, 317–340.
Hopfinger, E. J., Kurniawan, A., Graf, W. H., and Lemmin, U. (2004). “Sediment erosion by Görtler vortices: The scour-hole problem.” J. Fluid Mech., 520, 327–342.
Hughes, W. C., and Flack, J. E. (1984). “Hydraulic jump properties over a rough bed.” J. Hydraul. Eng., 110(12), 1755–1771.
Kawagoshi, N., and Hager, W. H. (1990). “Wave type flow at abrupt drops.” J. Hydraul. Res., 28(2), 235–252.
Leutheusser, H. J., and Khartha, V. C. (1972). “Effects of inflow condition on hydraulic jump.” J. Hydraul. Div., 98(8), 1367–1385.
Long, D., Steffler, P. M., and Rajaratnam, N. (1990). “LDA study of flow structure in submerged hydraulic jump.” J. Hydraul. Res., 28(4), 437–460.
Miozzi, M., Lalli, L., and Romano, G. P. (2010). “Experimental investigation of a free-surface turbulent jet with Coanda effect.” Exp. Fluids, 49(1), 341–353.
Mossa, M., Petrillo, A., and Chanson, H. (2003). “Tailwater level effects on flow conditions at an abrupt drop.” J. Hydraul. Res., 41(1), 39–51.
Narasimha, R., Yegna Narayan, K., and Parthasarathy, S. (1973). “Parametric analysis of turbulent wall jets in still air.” Aeronautical J., 77, 355–359.
Nasr, A., and Lai, J. C. R. (1998). “A turbulent plane offset jet with small offset ratio.” Exp. Fluids, 24(1), 47–57.
Ohtsu, I., and Yasuda, Y. (1991). “Transition from supercritical to subcritical flow at an abrupt drop.” J. Hydraul. Res., 29(3), 309–328.
Pagliara, S., Lotti, I., and Palermo, M. (2008). “Hydraulic jump on rough bed of stream rehabilitation structures.” J. Hydro-Environ. Res., 2(1), 29–38.
Park, H. M., Jeon, W., Choi, H., and Yoo, J. Y. (2007). “Mixing enhancement behind a backward-facing step using tabs.” Phys. Fluids, 19(10), 105103.
Pelfrey, J. R. R., and Liburdy, J. A. (1986). “Mean flow characteristics of a turbulent offset jet.” Trans. ASME J. Fluids Eng., 108(1), 82–88.
Rajaratnam, N. (1965). “Submerged hydraulic jump.” J. Hydraul. Div., 91(4), 71–96.
Rajaratnam, N. (1967a). “Plane turbulent wall jets on rough boundaries: Part One.” Water Power, 19(April), 149–153.
Rajaratnam, N. (1967b). “Plane turbulent wall jets on rough boundaries: Part Two.” Water Power, 19(May), 196–201.
Rajaratman, N. (1976). Turbulent jets. Elsevier Scientific, Amsterdam.
Rajaratnam, N., and Ortiz, V. (1977). “Hydraulic jumps and waves at abrupt drops.” J. Hydraul. Div., 103(4), 381–394.
Rajaratnam, N., and Subrarnanya, N. (1968). “Plane turbulent reattached wall jets.” J. Hydraul. Div., 94(1), 95–112.
Sawyer, R. A. (1960). “The flow due to a two-dimensional jet issuing parallel to a flat plate.” J. Fluid Mech., 9, 543–560.
Schlichting, H. (1979). Boundary layer theory, 7th Ed., McGraw-Hill, New York.
Smith, B. S. (2008). “Wall jet boundary layer flows over smooth and rough surfaces. Ph.D. thesis, Virginia Tech, Blacksburg, VA.
Tachie, M. F., Balachander, R., and Bergstrom, D. J. (2004). “Roughness effects on turbulent plane wall jets in an open channel.” Exp. Fluids, 37(2), 281–292.
Webby, M. G. (1998). “Discussion of the paper—Modeling two-dimensional turbulent offset jets.” J. Hydraul. Eng., 124(7), 774–775.
Wu, S., and Rajaratnam, N. (1995). “Free jumps, submerged jumps, and wall jets.” J. Hydraul. Res., 33(2), 197–212.
Wygnanski, I., Katz, Y., and Horev, E. (1992). “On the applicability of various scaling laws to the turbulent wall jet.” J. Fluid Mech., 234, 669–690.
Yoon, S. H., Kim, K. C., Kim, D. S., and Chung, M. K. (1993). “Comparative study of a turbulent wall-attaching offset jet and a plane wall jet.” KSME J., 7(2), 101–112.
Yoon, S. H., Kim, K. C., Kim, D. S., and Chung, M. K. (1995). “Effect of surface roughness on a turbulent wall-attaching offset jet.” Exp. Fluids, 19(1), 38–42.

Information & Authors

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 137Issue 12December 2011
Pages: 1636 - 1648

History

Received: Oct 28, 2010
Accepted: May 19, 2011
Published online: May 21, 2011
Published in print: Dec 1, 2011

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Authors

Affiliations

Faruk Bhuiyan [email protected]
Visiting Professor, Dept. of Civil and Environmental Engineering, Univ. of Alberta, Edmonton, AB, Canada T6G 2W2; and Professor, Dept. of Water Resources Engineering, Bangladesh Univ. of Engineering and Technology, Dhaka 1000, Bangladesh. E-mail: [email protected]
Alireza Habibzadeh [email protected]
Graduate Student, Dept. of Civil and Environmental Engineering, Univ. of Alberta, Edmonton, AB, Canada T6G 2W2. E-mail: [email protected]
N. Rajaratnam, F.ASCE [email protected]
Professor Emeritus, Dept. of Civil and Environmental Engineering, Univ. of Alberta, Edmonton, AB, Canada T6G 2W2 (corresponding author). E-mail: [email protected]
David Z. Zhu, M.ASCE [email protected]
Professor, Dept. of Civil and Environmental Engineering, Univ. of Alberta, Edmonton, AB, Canada T6G 2W2. E-mail: [email protected]

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