On the Computational Modeling of Inclined Brine Discharges

Abstract

In this paper, five computational approaches are used to model bulk flow parameters of inclined round negatively buoyant jets. More specifically, an integral model employing Gaussian distributions for velocity and apparent acceleration of gravity, proposed in earlier study, is implemented with two different entrainment formulae. The remaining three computational approaches include an integral model known as EMA, which takes into consideration the fluid detachment occurring in the inner side of the flow near the terminal height, the widely known commercial model Corjet and analytical solutions that were proposed in a previous study. Predictions are provided for the maximum centerline height and its horizontal position, the terminal height of the upper jet boundary, the horizontal distance to the points where the jet centerline and the upper jet boundary return to the source level, the centerline dilution at the maximum height and the centerline dilution at the return point. Detailed comparisons are made in dimensionless form between the estimations provided by the models and a wide range of experimental data for discharge angles between 15° and 90°. Conclusions are drawn regarding the performance of the five computational approaches.

Reynolds flux modeling; new numerical insights into inclined dense jets

“…They emphasized that EMA model is capable of reliable prediction of the flow parameters (geometrical and mixing), while the cost of computation is low as an integral model. Very recently, a comparative study by Papakonstantis and Papanicolaou [36] was conducted to compare five different numerical approach (including integral modeling with EMA and two different entrainment approaches, commercial code, Corjet [31,37], and an analytical model proposed by Kikkert et al [6]) for INBJs modeling.…”