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Turbulent entrainment into fluid mud gravity currents

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Abstract

The entrainment of ambient water into non-Newtonian fluid mud gravity currents was investigated in this study. Constant volume release gravity currents were generated in a lock-exchange tank for a wide range of experimental conditions. A technique similar to the so-called light attenuation technique was used to find the boundary of the current, allowing for the calculation of both temporal and bulk entrainment parameters (in terms of the temporal and bulk entrainment velocities, respectively). It was found that the temporal entrainment velocity is dependent on different parameters in the different propagation phases. The slumping phase begins with an adjustment zone (henceforth, non-established zone) in which the temporal entrainment velocity is not a function of the current front velocity, followed by the established zone in which the temporal entrainment velocity is a function of the current front velocity. This dependence of the temporal entrainment velocity on the current front velocity carries through to the inertia-buoyancy phase. As expected, temporal entrainment velocity in the viscous-buoyancy phase was negligible in comparison to average entrainment velocity in the other phases. It is observed that the temporal entrainment characteristics in the non-established zone is governed by the competition between the entrainment-inhibiting density stratification effects and the entrainment-favouring effects of the Kelvin–Helmholtz billows that are quantified by the Richardson number and the Reynolds number of the gravity current, respectively. In the established zone, Reynolds number effects were observed to dominate over Richardson number effects in dictating temporal entrainment characteristics. A parameterization for the temporal entrainment velocity for non-Newtonian fluid mud gravity currents is developed based upon the experimental observations. This study also found that the bulk entrainment characteristics for the non-Newtonian fluid mud gravity currents can be parameterized by the Newtonian bulk entrainment parameterizations that rely solely on a bulk Richardson number. Interestingly, it was found that the non-Newtonian characteristics of the gravity current have little to no effect on the entrainment of the Newtonian ambient fluid.

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Acknowledgments

This research was partially supported by the funds provided by the USACE Grant W912HZ-09-C-0068 to the second author (F. Y. Testik). The first author (M. R. Jacobson) is a Master of Science student under the guidance of F. Y. Testik. We would also wish to express our gratitude to Ms. Crystal Bassett for her assistance in the laboratory.

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  1. Glenn Department of Civil Engineering, College of Engineering and Science, Clemson University, 110 Lowry Hall, Clemson, SC, 29634-0911, USA

    M. R. Jacobson & F. Y. Testik

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  1. M. R. Jacobson
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  2. F. Y. Testik
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Correspondence to F. Y. Testik.

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Jacobson, M.R., Testik, F.Y. Turbulent entrainment into fluid mud gravity currents. Environ Fluid Mech 14, 541–563 (2014). https://doi.org/10.1007/s10652-014-9344-5

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