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Research Article Open access CC BY 4.0

Numerical Simulations of the Cabbeling Phenomenon in Surface Gravity Currents in Cold Fresh Water

Alabodite Meipre George, Anthony Kay

Journal of Scientific Research and Reports · pp. 68–85 · Published 5 Feb 2022

10.9734/jsrr/2022/v28i130488

Abstract

The behaviour of warm water discharge at a temperature higher then Tm horizontally into a homogeneous body of cold fresh water at a temperature lower then Tm was investigated by means of a numerical model. Water density here was taken to be a quadratic function of temperature. Thus cabbeling process was inevitable as positively buoyant water form surface current while penetrating the ambient water. The current halted as mixture became dense and sink. These results are very similar to the experimental study of warm discharge into cold water by Marmoush et al. [14] and Bukreev [22]. The results showed an initially sinking water at the point where the two water bodies meets within the first few time interval. Development of Rayleigh-Taylor instabilities was observed at the lower part of the surface current as lighter fluid penetrate further. The frontal head was found to being replenished by a surface flow of warm unadulterated water, but after much entrainment of ambient fluid and cabbeling then, this head halted and sink. On the floor, denser fluid advance in the same direction as the original surface current, with some degree of Kelvin-Helmholtz instability as it penetrates further. Relations were also drawn that describes the speed, the spread length of both surface current were obtained. Relation were also drawn that describes the final spread length of the surface current Lsm and the time taken to reach that final spread length Tsm as a function ϕin. This work as presented here is practical and relevant to many fields of study and also enhances policy making towards the protection of the aquatic ecosystems.

Surface current cabbeling temperature of maximum density

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Cited by 5

A Numerical Study of the behaviour on Lock Volume Variations in Lock-Exchange Density Current in Cold Fresh Water

Alabodite Meipre George, Evans Fiebibiseighe Osaisai · Journal of Scientific Research and Reports · 2022

Propagation Speed of the Frontal Head Through Lock-Exchange Density Current in Cold Fresh Water: Simulations without the Effect of Back-reflected Waves

A. M. George, E. F. Osaisai · Asian Research Journal of Mathematics · 2022

Density Current Simulations In Cold Fresh Water And Its Cabbeling phenomenon: A Comparative Analysis With Given Experimental Results

A. M. George, E. F. Osaisai · Current Journal of Applied Science and Technology · 2022

Downward Axisymmetric Plumes and Some Possible Behaviours in a Quiescent Ambient

Alabodite Meipre George, Z. Ongodiebi · International Journal of Multidisciplinary Research and Growth Evaluation · 2025

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