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Wave breaking and bubble formation associate energy dissipation and wave setup

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Abstract

In this work, theoretical development of void fraction effect over wave energy dissipation and wave setup in a surf zone is made. The formulation incorporates simple energy dissipation model, energy balance equation, and momentum balance equation in air-water mixture fields. The important quantities, such as the energy flux, the radiation stress, the energy dissipation, and the wave setup, are computed and the role of the individual terms in the governing equations is discussed. Void fraction effect in the estimated energy flux in energy balance equation shows to be less dominating over the others. Finally, the void fraction effects for wave height and wave setup are calculated, which demonstrates a good agreement with the experimental results.

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Acknowledgments

The first author would like to acknowledge the financial support provided by the Bangladesh University Grand Commission within the Research Project Program. The authors also acknowledge the helpful comments of two referees.

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Authors and Affiliations

  1. Department of Mathematics, Rajshahi University, Rajshahi, 6205, Bangladesh

    Ashabul Hoque & Nur Hossain

  2. Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganz, Bangladesh

    Shuzon Ali

  3. Department of Mathematics, Bangladesh Army University of Engineering and Technology, Qadirabad, Bangladesh

    Masudar Rahman

Authors
  1. Ashabul Hoque
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  2. Nur Hossain
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  3. Shuzon Ali
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  4. Masudar Rahman
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Correspondence to Ashabul Hoque.

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Responsible Editor: Bruno Castelle

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Hoque, A., Hossain, N., Ali, S. et al. Wave breaking and bubble formation associate energy dissipation and wave setup. Ocean Dynamics 69, 913–923 (2019). https://doi.org/10.1007/s10236-019-01279-x

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  • DOI: https://doi.org/10.1007/s10236-019-01279-x

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