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Effects of turbulent Schmidt number on CFD simulation of $$45^\circ $$ 45 ∘ inclined negatively buoyant jets
Environmental Fluid Mechanics ( IF 1.7 ) Pub Date : 2020-08-18 , DOI: 10.1007/s10652-020-09762-6
Sina Tahmooresi , Davoud Ahmadyar

Employing inclined negatively buoyant jets is one of the most advantageous means to discharge brine or waste in coastal environments. However, numerical prediction of mixing parameters for this kind of flow is still a challenge. In this investigation, CFD simulations of \(45^\circ \) inclined dense jets were conducted using realizable k–\(\epsilon \) model with buoyancy corrections and different values of turbulent Schmidt number (\(Sc_t\)) within two approaches in a finite volume model (Open FOAM). In the first approach, seven scenarios with different values of \(Sc_t\) were simulated. In the second one, a Regional Turbulent Schmidt Number (RTSN) configuration was introduced based on different behaviors of the flow in jet-like, plume-like, and inner/outer regions. Regarding the first approach, results showed that changing the turbulent Schmidt number has significant consequences for mixing and geometrical parameters. Reducing \(Sc_t\) from 1.0 to 0.4 led to more than \(\sim 60\%\) and \(\sim 40\%\) improvements in dilution ratio at return point and centerline peak, respectively. Using RTSN approach successfully improved the mixing parameters along with keeping nearly unchanged the accuracy of geometrical parameters. That was the case, specifically at return point in comparison with using any other constant \(Sc_t\) for the whole domain (first approach). This local (regional) change in turbulent Schmidt number compensates for flaws of Boussinesq approximation in the linear two-equation turbulence modeling of inclined negatively buoyant jets. Comparing to the previous LES results, the RTSN approach combined with the realizable k–\(\epsilon \) model stands as an economically superior solution employing much lower grid numbers.



中文翻译:

Schmidt湍流数对$$ 45 ^ \ circ $$ 45∘倾斜负浮力射流CFD模拟的影响

使用倾斜的负浮力射流是在沿海环境中排放盐水或废物的最有利手段之一。然而,对于这种流动的混合参数的数值预测仍然是一个挑战。在这项研究中,使用可实现的k– \(\ epsilon \)模型进行浮力校正和不同的湍流Schmidt数(\(Sc_t \))的值,对\(45 ^ \ circ \)倾斜的密集射流进行了CFD模拟。有限体积模型(Open FOAM)中的方法。在第一种方法中,七个场景具有不同的\(Sc_t \)值被模拟。在第二篇文章中,根据射流状,羽状状和内部/外部区域中流动的不同行为,引入了区域湍流施密特数(RTSN)配置。关于第一种方法,结果表明,改变湍流的施密特数会对混合和几何参数产生重大影响。将(Sc_t \)从1.0降低到0.4,分别导致返回点和中心线峰的稀释比提高了(\ sim 60 \%\)\(\ sim 40 \%\)。使用RTSN方法成功地改善了混合参数,同时保持几何参数的精度几乎不变。就是这种情况,特别是在返回点处,与使用任何其他常量相比\(Sc_t \)表示整个域(第一种方法)。湍流Schmidt数的这种局部(区域)变化补偿了倾斜负浮力射流的线性二方程湍流模型中的Boussinesq近似缺陷。与先前的LES结果相比,RTSN方法与可实现的k – \(\ epsilon \)模型相结合,是使用低得多的网格数的经济上优越的解决方案。

更新日期:2020-08-19
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