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Zhen-wei Zhang, Zhi-li Zou. 2019: Application of power law to vertical distribution of longshore currents. Water Science and Engineering, 12(1): 73-83. doi: 10.1016/j.wse.2019.04.004
Citation: Zhen-wei Zhang, Zhi-li Zou. 2019: Application of power law to vertical distribution of longshore currents. Water Science and Engineering, 12(1): 73-83. doi: 10.1016/j.wse.2019.04.004
shu

Application of power law to vertical distribution of longshore currents

doi: 10.1016/j.wse.2019.04.004

  • a School of Civil Engineering and Architecture, Xiamen University of Technology, Xiamen 361021, China

  • b State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China

Funds:  This work was supported by the National Natural Science Foundation of China (Grant No. 10672034) and the Natural Science Foundation of Fujian Province (Grant No. 2015Y0035).
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  • Corresponding author: Zhen-wei Zhang
  • Received Date: 2018-06-01
  • Rev Recd Date: 2019-01-05
    Abstract
  • The vertical profiles of longshore currents have been examined experimentally over plane and barred beaches. In most cases, the vertical profiles of longshore currents are expressed by the logarithmic law. The power law is not commonly used to describe the profile of longshore currents. In this paper, however, a power-type formula is proposed to describe the vertical profiles of longshore currents. The formula has two parameters: the power law index (a) and the depth-averaged velocity. Based on previous studies, power law indices were set as a = 1/10 and a = 1/7. Depth-averaged velocity can be obtained through measurement. The fitting of the measured velocity profiles to a = 1/10 and a = 1/7 was assessed for the vertical longshore profiles. The vertical profile of longshore currents is well described by the power-type formula with a = 1/10 for a plane beach. However, for a barred beach, different values of a needed to be used for different regions. For the region from the bar trough to the offshore side of the bar crest, the vertical profiles of longshore currents given by the power-type formula with a = 1/10 and a = 1/7 fit the data well. However, the fit was slightly better with a = 1/10 than that with a = 1/7. For the data over the trough region of cross-shore distribution of the depth-averaged longshore currents, the power formula with a = 1/3 provided a good fit. The formulas with a = 1/10 and a = 1/7 were further examined using published data from four sources covering laboratory and field experiments. The results indicate that the power-type formula fits the data well for the laboratory and field data with a = 1/10.

     

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    • References(17)
  • Barenblatt, G.I., 2014. Flow, Deformation and Fracture: Lectures on Fluid Mechanics and the Mechanics of Deformable Solids for Mathematicians and Physicists. Cambridge University Press, New York.
    Basco, D.R., 1983. Surfzone currents. Coastal Engineering, 7(4), 331-355. https://doi.org/10.1016/0378-3839(83)90003-0.
    Cheng, N.S., 2007. Power-law index for velocity profiles in open channel flows. Advances in Water Resources 30(8), 1775-1784. https://doi.org/10.1016/j.advwatres.2007.02.001.
    Church, J.C., Thornton, E.B., 1993. Effects of breaking wave induced turbulence within a longshore current model. Coastal Engineering, 20(1-2), 1-28. https://doi.org/10.1016/0378-3839(93)90053-B.
    Dyer, K.R., 1971. Current velocity profiles in a tidal channel. Geophysical Journal of the Royal Astronomical Society, 22(2), 153-161. https:// doi.org/10.1111/j.1365-246X.1971.tb03589.x.
    Faria, A.F.G., Thornton, E.B., Stanton, T.P., Soares, C.V., 1998. Vertical profiles of longshore currents and related bed shear stress and bottom roughness. Journal of Geophysical Research, 103(C2), 3217-3232. https://doi.org/10.1029/97JC02265.
    Fredsoe, J., Deigaard, R., 1992. Mechanics of Coastal Sediment Transport. World Scientific, Singapore. https://doi.org/10.1142/1546.
    Hamilton, D.G., Ebersole, B.A., 2001. Establishing uniform longshore currents in a large-scale sediment transport facility. Coastal Engineering, 42(3), 199-218. https://doi.org/10.1016/S0378-3839(00)00059-4.
    Ren, C.P., Zou, Z.L., Qiu, D.H., 2012. Experimental study of the instabilities of alongshore currents on plane beaches. Coastal Engineering, 59(1), 72-89. https://doi.org/10.1016/j.coastaleng.2011.07.004.
    Reniers, A.J.H.M., Battjes, J.A., 1997. A laboratory study of longshore currents over barred and non-barred beaches. Coastal Engineering, 30(1-2), 1-21. https://doi.org/10.1016/S0378-3839(96)00033-6.
    Shen, L.D., Zou, Z.L., Zhao, X.Z., 2018, Linear analysis of longshore currents instability over mild slopes. China Ocean Engineering, 32(6), 675-682. https://doi.org/10.1007/s13344-018-0069-y.
    Sleath, J.F.A., 1987. Turbulent oscillatory flow over rough beds. Journal of Fluid Mechanics, 182, 369-409. https://doi.org/10.1017/S0022112087002374.
    Visser, P.J., 1991. Laboratory measurements of uniform longshore currents. Coastal Engineering, 15(5-6), 563-593. https://doi.org/10.1016/0378-3839(91)90028-F.
    Wang, P., Ebersole, B.A., Smith, E.R., Johnson, B.D., 2002. Temporal and spatial variations of surf-zone currents and suspended sediment concentration. Coastal Engineering, 46(3), 175-211. https://doi.org/10.1016/S0378-3839(02)00091-1.
    Wang, Y., Zou, Z.L., 2015. An experimental and numerical study of bimodal velocity profile of longshore currents over mild-slope barred beaches. Ocean Engineering, 106, 415-423. https://doi.org/10.1016/j.oceaneng.2015.06.038.
    Zhang, Z., Song, Z.Y., Zhang, D., Guo, F., Hu, D., 2016. Application of power law to the currents in a tidal channel. Journal of Oceanography, 72(4), 589-600. https://doi.org/10.1007/s10872-016-0353-5.
    Zhang, Z.W., Zou, Z.L., 2012. Vertical distribution of longshore currents over plane and barred beaches. Journal of Hydrodynamics, 24(5), 718-728. https://doi.org/10.1016/S1001-6058(11)60296-5.
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