2022
DOI: 10.1017/jfm.2022.924
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On simple models for gravity currents from moving sources

Abstract: The propagation of the gravity current generated from a moving source of buoyancy is of interest in deep-sea mining and related technologies. The study by Ouillon et al. (J. Fluid Mech., vol. 924, 2021, A43) elucidated some salient patterns of the flow concerning a source close to the bottom on the basis of direct numerical simulation on a supercomputer. Here, we present a simple box model that provides further insights and useful analytical approximations for this gravity-current flow system. We show that thi… Show more

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Cited by 2 publications
(4 citation statements)
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“…We can obtain a simple estimate of the distance the flow travels upstream by equating the speed of the source, to the speed of this upstream flow, By substituting (3.2) into (3.1), we find the relation for the upstream distance (cf. Ungarish 2022) and the time at which this condition is first satisfied In figure 3( c ), we plot the length, , (3.3) using the range of estimated from our experiments as a function of and find good agreement with out experimental data. After time we expect that the position of the front of the gravity current from the initial point of impact will be given by Our analysis of the shape of the gravity currents shows that the maximum length of the gravity current increases with time according to the relation (3.1).…”
Section: Single-phase Experimentssupporting
confidence: 56%
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“…We can obtain a simple estimate of the distance the flow travels upstream by equating the speed of the source, to the speed of this upstream flow, By substituting (3.2) into (3.1), we find the relation for the upstream distance (cf. Ungarish 2022) and the time at which this condition is first satisfied In figure 3( c ), we plot the length, , (3.3) using the range of estimated from our experiments as a function of and find good agreement with out experimental data. After time we expect that the position of the front of the gravity current from the initial point of impact will be given by Our analysis of the shape of the gravity currents shows that the maximum length of the gravity current increases with time according to the relation (3.1).…”
Section: Single-phase Experimentssupporting
confidence: 56%
“…In this paper, we build on these earlier works, especially those of Ouillon et al (2021), Ungarish (2022) and James et al (2022), through an experimental study in which we systematically examine the dynamics of gravity currents that form when a dense single-phase or particle-laden plume, with buoyancy flux B 0 , issuing from a moving source at height z 0 above the sea bed, descends through the water column and then spreads out over the base of the experimental tank. First, we investigate the morphology of the gravity currents as a function of the source speed with a series of experiments on single-phase plumes.…”
Section: Introductionmentioning
confidence: 99%
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“…The flow that propagates upstream is arrested by the relative flow of the ambient environment, and reaches a maximum distance, x m . We can obtain a simple estimate of the distance the flow travels upstream by equating the speed of the source, w a to the speed of this upstream flow, equation 5.7, we find the relation for the upstream distance (cf Ungarish (2022)).…”
mentioning
confidence: 99%