TECHNICAL PAPERS
Dec 3, 2009

Turbulence Characteristics in Flows Subjected to Boundary Injection and Suction

Publication: Journal of Engineering Mechanics
Volume 136, Issue 7

Abstract

The influence of seepage (lateral flow) on the turbulence characteristics in free-surface flows over an immobile rough boundary is investigated. Steady flows having zero-pressure gradient over an immobile rough boundary created by uniform gravels of 4.1 mm in size were simulated experimentally with injection (upward seepage) and suction (downward seepage) applied through the boundary. A Vectrino (acoustic Doppler velocimeter) was used to measure the instantaneous velocities, which are analyzed to explore second- and third-order correlations, turbulent kinetic energy, turbulent energy budget, and conditional Reynolds shear stresses. It is observed that the second-order correlations decrease in presence of injection and increase in suction. The turbulent diffusivity and mixing length increase in presence of injection and decrease in suction. The third-order correlations suggest that the ejections are prevalent over the entire flow depth. The near-boundary flow is significantly influenced by the existence of upward seepage, which is manifested by a reduction in streamwise flux and the vertical advection of streamwise Reynolds normal stress. In addition, the upward flux and the streamwise advection of vertical Reynolds normal stress are also affected. The streamwise flux of turbulent kinetic is found to migrate upstream, while the vertical flux of turbulent kinetic energy is transported upward. The fluxes increase in presence of injection and decrease in suction. Energy budget evidences a lag between the turbulent dissipation and production and an opposing trend in the turbulent and pressure energy diffusions. A quadrant analysis for the conditional Reynolds shear stresses reveals that the ejection and sweep events are the primary contributions toward the total Reynolds shear stress production, with ejections dominating over the entire flow depth. The effect of seepage is shown to affect the magnitude of such events. However, in case of sweeps, this phenomenon is the opposite. The mean-time of occurrence of ejections and that of sweeps in suction are more persistent than those in no-seepage and injection.

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References

Antonia, R. A., Fulachier, L., Krishnamoorthy, L. V., Benabid, T., and Anselmet, F. (1988). “Influence of wall suction on the organized motion in a turbulent boundary.” J. Fluid Mech., 190, 217–240.
Antonia, R. A., and Zhu, Y. (1995). “Effect of concentrated wall suction on a turbulent boundary layer.” Phys. Fluids, 7(10), 2465–2474.
Bose, S. K., and Dey, S. (2007). “Theory of free surface flow over rough seeping beds.” Proc. R. Soc. London, Ser. A, 463(2078), 369–383.
Cellino, M., and Lemmin, U. (2004). “Influence of coherent flow structures on the dynamics of suspended sediment transport in open-channel flow.” J. Hydraul. Eng., 130(11), 1077–1088.
Chen, X., and Chiew, Y. M. (2004). “Velocity distribution of turbulent open-channel flow with bed suction.” J. Hydraul. Eng., 130(2), 140–148.
Cheng, N. S., and Chiew, Y. M. (1998). “Modified logarithmic law for velocity distribution subjected to upward seepage.” J. Hydraul. Eng., 124(12), 1235–1241.
Clarke, J. H., Menkes, H. R., and Libby, P. A. (1955). “A provisional analysis of turbulent boundary layers with injection.” J. Aerosp. Sci., 22(4), 255–260.
Dey, S. (1999). “Sediment threshold.” Appl. Math. Model., 23(5), 399–417.
Dey, S., and Cheng, N. S. (2005). “Reynolds stress in open channel flow with upward seepage.” J. Eng. Mech., 131(4), 451–457.
Dey, S., Dey Sarker, H. K., and Debnath, K. (1999). “Sediment threshold under stream flow on horizontal and sloping beds.” J. Eng. Mech., 125(5), 545–553.
Dey, S., and Raikar, R. V. (2007). “Characteristics of loose rough boundary streams at near-threshold.” J. Hydraul. Eng., 133(3), 288–304.
Gad-el-Hak, M., and Bandyopadhyay, P. (1994). “Reynolds number effects in wall-bound turbulent flow.” Appl. Mech. Rev., 47, 307–365.
Grass, A. J. (1971). “Structural features of turbulent flow over smooth and rough boundaries.” J. Fluid Mech., 50, 233–255.
Haddad, H., Labraga, L., and Keirsbulck, L. (2007). “Effects of blowing through a porous strip in a turbulent channel flow.” Exp. Therm. Fluid Sci., 31, 1021–1032.
Hinze, J. O. (1975). Turbulence, McGraw-Hill, New York.
Irwin, H. P. A. H. (1973). “Measurements in a self-preserving plane wall jet in a positive pressure gradient.” J. Fluid Mech., 61, 33–63.
Kim, K., and Sung, H. J. (2003). “Effects of periodic blowing from spanwise slot on a turbulent boundary layer.” AIAA J., 41(10), 1916–1924.
Kironoto, B. A., and Graf, W. H. (1994). “Turbulence characteristics in rough uniform open-channel flow.” Proc. Inst. Civ. Eng., Water. Maritime Energ., 106(4), 333–344.
Krogstad, P. Å., and Kourakine, A. (2000). “Some effects of localized injection on the turbulence structure in a boundary layer.” Phys. Fluids, 12(11), 2990–2999.
Krogstadt, P. Å., and Antonia, R. A. (1999). “Surface roughness effects in turbulent boundary layers.” Exp. Fluids, 27, 450–460.
Lu, S. S., and Willmarth, W. W. (1973). “Measurements of the structures of the Reynolds stress in a turbulent boundary layer.” J. Fluid Mech., 60, 481–511.
Lu, Y., Chiew, Y. M., and Cheng, N. S. (2008). “Review of seepage effects on turbulent open-channel flow and sediment entrainment.” J. Hydraul. Res., 46(4), 476–488.
Maclean, A. G. (1991a). “Open channel velocity profiles over a zone of rapid infiltration.” J. Hydraul. Res., 29(1), 17–27.
Maclean, A. G. (1991b). “Bed shear stress and scour over bed-type river intake.” J. Hydraul. Eng., 117(4), 436–451.
Mendoza, C., and Zhou, D. (1992). “Effects of porous bed on turbulent stream flow above bed.” J. Hydraul. Eng., 118(9), 1222–1240.
Nakagawa, H., and Nezu, I. (1977). “Prediction of the contributions to the Reynolds stress from bursting events in open-channel flows.” J. Fluid Mech., 80, 99–128.
Nezu, I. (1977). “Turbulent structure in open channel flow.” Ph.D. thesis, Kyoto Univ., Kyoto, Japan.
Nezu, I., and Nakagawa, H. (1993). Turbulence in open-channel flows, Balkema, Rotterdam, The Netherlands.
Nikora, V., and Goring, D. (2000). “Flow turbulence over fixed and weakly mobile gravel beds.” J. Hydraul. Eng., 126(9), 679–690.
Oldenziel, D. M., and Brink, W. E. (1974). “Influence of suction and blowing on entrainment of sand particles.” J. Hydr. Div., 100(7), 935–949.
Oyewola, O., Djenidi, L., and Antonia, R. A. (2004). “Influence of localised wall suction on the anisotropy of the Reynolds stress tensor in a turbulent boundary layer.” Exp. Fluids, 37, 187–193.
Park, J., and Choi, H. (1999). “Effects of uniform blowing or suction from a spanwise slot on a turbulent boundary layer flow.” Phys. Fluids, 11(10), 3095–3105.
Raupach, M. R. (1981). “Conditional statistics of Reynolds stress in rough-wall and smooth-wall turbulent boundary layers.” J. Fluid Mech., 108, 363–382.
Schlichting, H. (1979). Boundary layer theory, McGraw-Hill, New York.
Shields, A. F. (1936). “Application of similarity principles and turbulence research to bed-load movement.” Mitteilungen der Preussischen Versuchsanstalt für Wasserbau und Schiffbau, Vol. 26, 5–24.
Stevenson, T. N. (1963). “A law of the wall for turbulent boundary layers with suction or injection.” Cranfield Rep. Aero. No. 166, The College of Aeronautics, Cranfield, U.K.
Sumitani, Y., and Kasagi, N. (1995). “Direct numerical simulation of turbulent transport with uniform wall injection and suction.” AIAA J., 33(7), 1220–1228.
van Rijn, L. C. (1984). “Sediment transport, part I: bed-load transport.” J. Hydraul. Eng., 110(10), 1431–1456.
Verollet, E., Fulachier, L., and Dekeyser, I. (1977). “Étude phénoménologique d’une couche-limite turbulente avec aspiration et chauffage à la paroi.” Int. J. Heat Mass Transfer, 20, 107–112.
Watters, G. Z., and Rao, M. V. P. (1971). “Hydrodynamic effects of seepage on bed particles.” J. Hydr. Div., 101(3), 421–439.
Willetts, B. B., and Drossos, M. E. (1975). “Local erosion caused by rapid forced infiltration.” J. Hydr. Div., 101(12), 1477–1488.
Yang, S. Q., Tan, S. K., and Lim, S. Y. (2004). “Velocity distribution and dip-phenomenon in smooth uniform open channel flows.” J. Hydraul. Eng., 130(12), 1179–1186.
Zhou, D., and Mendoza, C. (1993). “Flow through porous bed of turbulent stream.” J. Eng. Mech., 119(2), 365–383.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 136Issue 7July 2010
Pages: 877 - 888

History

Received: May 24, 2009
Accepted: Nov 25, 2009
Published online: Dec 3, 2009
Published in print: Jul 2010

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Authors

Affiliations

Subhasish Dey [email protected]
Chair Professor, Dept. of Civil Engineering, Indian Institute of Technology, Kharagpur 721302, West Bengal, India (corresponding author). E-mail: [email protected]
Tushar K. Nath [email protected]
Doctoral Research Fellow, Dept. of Civil Engineering, Indian Institute of Technology, Kharagpur 721302, West Bengal, India. E-mail: [email protected]

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