Volume 16 Issue 1
Mar.  2023
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Ebenezer Otoo, Yong-ping Chen, Zhen-shan Xu, Yu-hang Chen. 2023: Dilution characteristics of dual buoyant jets in wavy cross-flow environment. Water Science and Engineering, 16(1): 83-93. doi: 10.1016/j.wse.2022.09.004
Citation: Ebenezer Otoo, Yong-ping Chen, Zhen-shan Xu, Yu-hang Chen. 2023: Dilution characteristics of dual buoyant jets in wavy cross-flow environment. Water Science and Engineering, 16(1): 83-93. doi: 10.1016/j.wse.2022.09.004

Dilution characteristics of dual buoyant jets in wavy cross-flow environment

doi: 10.1016/j.wse.2022.09.004
Funds:

This work was supported by the Fundamental Research Funds for the Central Universities of China (Grant No. B200202057) and the National Natural Science Foundation of China (Grant No. 51979076).

  • Received Date: 2021-12-16
  • Accepted Date: 2022-09-27
  • Rev Recd Date: 2022-08-22
  • Due to the difference in density between the discharge effluent and coastal water, partially treated wastewater is often discharged into the marine environment as a buoyant jet via submarine outfalls with multiport diffusers. The dilution characteristics of effluent discharge (dual buoyant jets) in a wavy cross-flow environment were studied in a laboratory. The planar laser-induced fluorescence technique was used to obtain the concentration data of the jets. The effects of different environmental variables on the diffusion and dilution characteristics of the jets were examined through physical experiments, dimensional analysis, and empirical formulations. It was found that the dilution process of the dual jets could be divided into two components: the original jet component and the effluent cloud component. The jet-to-current velocity ratio was the main parameter affecting the concentration levels of the effluent cloud. The merging of the two jets increased the jet concentration in the flow field. When the jets traveled further downstream, the axial dilution increased gradually and then increased significantly along the axis. Under the effects of strong waves, the concentration contours branched into two peaks, and the mean dilution became more significant than under the effects of weak waves. Therefore, the dilution of the effluent discharge was expected to be significant under strong wave effects because the hydrodynamic force increased. A dilution equation was derived to improve our understanding of the dilution process of buoyant jets in a wavy cross-flow environment. This equation was used to determine the influences of the jet-to-current velocity ratio, wave-to-current velocity ratio, and Strouhal number on the minimum jet dilution. It revealed that the wave and buoyancy effects in effluent discharges were significant.

     

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  • Ahmad, N., Baddour, R.E., 2012. Dilution and penetration of vertical negatively buoyant thermal jets. J. Hydraul. Eng. 138, 850-857. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000588.
    Chang, K.A., Ryu, Y., Mori, N., 2009. Parameterization of neutrally buoyant horizontal round jet in wave environment. J. Waterw. Port, Coast. Ocean Eng. 135, 100-107. https://doi.org/10.1061/(ASCE)0733-950X(2009) 135:3(100).
    Chen, Y.L., Hsiao, S.C., 2018. Numerical modeling of a buoyant round jet under regular waves. Ocean Eng. 161, 154-167. https://doi.org/10.1016/j.oceaneng.2018.04.093.
    Chin, D.A., 1987. Influence of surface waves on outfall dilution. J. Hydraul.Eng. 113, 1006-1018. https://doi.org/10.1061/(ASCE)0733-950X(2009) 135:3(100).
    Chin, D.A., 1988. Model of buoyant jet-surface-wave interaction. J. Waterw.Port, Coast. Ocean Eng. 114(3), 331-345. https://doi.org/10.1061/(ASCE)0733-950X(1988)114:3(331).
    Chyan, J.M., Hwung, H.H., 1993. On the interaction of a turbulent jet with waves. J. Hydraul. Res. 31(6), 791-810. https://doi.org/10.1080/ 00221689309498819.
    Crimaldi, J.P., 1997. The effect of photobleaching and velocity fluctuations on single-point LIF measurements. Exp. Fluid 23(4), 325-330. https://doi.org/10.1007/s003480050117.
    Davis, R.M.A., Siegel, L., Shirazi, D., 2010. Measurement of buoyant jet entrainment from single and multiple sources. J. Heat Tran. 100(3), 442-447. https://doi.org/10.1115/1.3450828.
    Fan, L., 1967. Turbulent Buoyant Jets into Stratified or Flowing Ambient Fluids. California Institute of Technology, Pasadena.
    Ferrari, S., Badas, M.G., Querzoli, G., 2018. On the effect of regular waves on inclined negatively buoyant jets. Water 10(6), 726. https://doi.org/10.3390/w10060726.
    Ger, A.M., 1979. Wave effects on submerged buoyant jets. In: Proceedings of the 18th IAHR. IAHR, Cagliari, pp. 295-300.
    Guo, Y., 2020. Experimental and Numerical Study of Submerged Inclined Buoyant Jet Discharges into Stagnant Saline Ambient Water. University of Ottawa, Ottawa. https://doi.org/10.20381/ruor-25800.
    Gutmark, E.J., Ibrahim, I.M., Murugappan, S., 2011. Dynamics of single and twin circular jets in cross flow. Exp. Fluid 50, 653-663. https://doi.org/10.1007/s00348-010-0965-2.
    Hsiao, S.C., Hsu, T.W., Lin, J.F., Chang, K.A., 2011. Mean and turbulence properties of a neutrally buoyant round jet in a wave environment. J.Waterw. Port, Coast. Ocean Eng. 137(3), 109-122. https://doi.org/10.1061/(ASCE)WW.1943-5460.0000073.
    Keramaris, E., Pechlivanidis, G., 2016. The behaviour of a turbulent buoyant jet into flowing environment. Procedia Eng. 162, 120-127. https://doi.org/10.1016/j.proeng.2016.11.027.
    Kotsovinos, N.E., 1975. A Study of the Entrainment and Turbulence in a Plane Buoyant Jet. University of California, Berkeley.
    Kwan, K.H., Swan, C., 1996. Near-field measurements of a buoyant jet in waves and currents. In: Proceedings of the 25th Conference on Coastal Engineering. ASCE, Orlando, pp. 4569-4582. https://doi.org/10.1061/ 9780784402429.355.
    Lai, C.C.K., Lee, J.H.W., 2014. Initial mixing of inclined dense jet in perpendicular crossflow. Environ. Fluid Mech. 14(1), 25-49. https://doi.org/10.1007/s10652-013-9290-7.
    Lee, J.H.W., 1989. Note on Ayoub's data of horizontal round buoyant jet in current. J. Hydraul. Eng. 115, 969-975. https://doi.org/10.1061/(ASCE) 0733-9429(1989)115:7(969).
    Lee, J.H.W., Chu, V.H., 2003. Turbulent Jets and Plumes: A Lagrangian Approach. Springer, New York.Li, Z.W., Huai, W.X., Qian, Z.D., 2012. Study on the flow field and concentration characteristics of the multiple tandem jets in crossflow. Sci. China Technol.Sci. 55(10), 2778-2788. https://doi.org/10.1007/s11431-012-4964-9.
    Makihata, T., Miyai, Y., 1979. Trajectories of single and double jets injected into a crossflow of arbitrary velocity distribution. J. Fluid Eng. 101, 217-223. https://doi.org/10.1115/1.3448938.
    Malcangio, D., Meftah, B.M., Chiaia, G., De Serio, F., Mossa, M., Petrillo, A.F., 2016. Experimental studies on vertical dense jets in a crossflow. In: Proceedings of River Flow 2016. Taylor & Francis, London, pp. 890-897. https://doi.org/10.1201/9781315644479-141.
    Meftah, M.B., Malcangio, D., De Serio, F., Mossa, M., 2017. Vertical dense jet in flowing current. Environ. Fluid Mech. 18, 75-96. https://doi.org/10.1007/s10652-017-9515-2.
    Mohamed, F.E., Abdulmajeed, A., Salama, A., Shuyu, S., 2015. Numerical simulation and analysis of confined turbulent buoyant jet with variable source. J. Hydrodyn. 27, 955-968. https://doi.org/10.1016/S1001-6058(15)60558-3.
    Mori, N., Chang, K.A., 2003. Experimental study of a horizontal jet in a wavy environment. J. Eng. Mech. 129, 1149-1155. https://doi.org/10.1061/(ASCE)0733-9399(2003)129:10(1149).
    Mossa, M., Davies, P.A., 2018. Some aspects of turbulent mixing of jets in the marine environment. Water 10(4), 522. https://doi.org/10.3390/w10040522.
    Oshima, Y., Kinoshita, O., 2009. Coanda effect of water jet. Trans. Soc. Instrum.Control Eng. 11(4), 491-496. https://doi.org/10.9746/sicetr1965.8.24.
    Papanicolaou, P.N., List, E.J., 1988. Investigations of round vertical turbulent buoyant jets. J. Fluid Mech. 195, 341-391. https://doi.org/10.1017/S0022112088002447.
    Philip, J.W.R., Geoffrey, T., 1987. Inclined dense jets in flowing current. J.Hydraul. Eng. 113(3), 323-340. https://doi.org/10.1061/(ASCE)0733-9429(1987)113:3(323).
    Roberts, D.A., Johnston, E.L., Knott, N.A., 2010. Impacts of desalination plant discharges on the marine environment: A critical review of published studies.Water Res. 44, 5117-5128. https://doi.org/10.1016/j.watres.2010.04.036.
    Ryu, Y., Chang, K.A., Mori, N., 2005. Dispersion of neutrally buoyant horizontal round jet in wave environment. J. Hydraul. Eng. 131, 1088-1097.https://doi.org/10.1061/(ASCE)0733-9429(2005)131:12(1088).
    Saylor, J.R., 1995. Photobleaching of disodium fluorescein in water. Exp.Fluid 18, 445-447. https://doi.org/10.1007/BF00208467.
    Sharp, J.J., 1986. Effects of waves on buoyant jets. Civ. Eng. 2 81, 471-475.
    Wang, Y., Chen, Y.P., Xu, Z.S., 2015. Initial dilution of a vertical round nonbuoyant jet in wavy cross-flow environment. China Ocean Eng. 29, 847-858. https://doi.org/10.1007/s13344-015-0071-6.
    Watanabe, R., Gono, T., Yamagata, T., Fujisawa, N., 2015. Three-dimensional flow structure in highly buoyant jet by scanning stereo PIV combined with POD analysis. Int. J. Heat Fluid Flow 52, 98-110. https://doi.org/10.1016/j.ijheatfluidflow.2014.12.003.
    Xu, Z., Chen, Y., Tao, J.F., Pan, Y., Sowa, D.M.A., Li, C.W., 2016. Threedimensional flow structure of a non-buoyant jet in a wave-current coexisting environment. Ocean Eng. 116, 42-54. https://doi.org/10.1016/j.oceaneng.2016.02.022.
    Xu, Z., Chen, Y., Yana, W., Zhang, C., 2017. Near-field dilution of a turbulent jet discharged into coastal waters: Effect of regular waves.Ocean Eng. 140, 29-42. https://doi.org/10.1016/j.oceaneng.2017.05. 003.
    Xu, Z., Chen, Y., Jiang, D., 2018a. Experimental study on a buoyant jet in wavy crossflow. In: Proceedings of the 28th International Ocean and Polar Engineering Conference. ISOPE, Sapporo.
    Xu, Z., Chen, Y., Pan, Y., 2018b. Initial dilution equations for wastewater discharge: Example of non-buoyant jet in wave-following-current environment. Ocean Eng. 164, 139-147. https://doi.org/10.1016/j.oceaneng.2018.06.021.
    Xu, Z., Otoo, E., Chen, Y.P., Ding, H.W., 2019. 2D PIV measurement of twin buoyant jets in wavy cross-flow environment. Water 11(2), 399. https://doi.org/10.3390/w11020399.
    Xu, Z., Zhang, Y., Chen, Y.P., 2020. Study on flow structure of tandem multiple jets under the effect of regular waves. Ocean Eng. 217, 107993.https://doi.org/10.1016/j.oceaneng.2020.107993.
    Yu, D., Ali, M.S., Lee, J.H.W., 2006. Multiple tandem jets in cross-flow. J.Hydraul. Eng. 132(9), 971-982. https://doi.org/10.1061/(ASCE)0733-9429(2006)132:9(971).
    Ziegler, H., Wooler, P.T., 1971. Multiple jets exhausting into a crossflow. J.Aircraft 8(6), 414-420. https://doi.org/10.2514/3.59118.
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