Numerical study of submerged hydraulic jumps over triangular macroroughnesses

Harshit Kumar Jayant, Bharat Jhamnani
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Abstract

The hydraulic jump is a phenomenon that occurs in open channels. In past studies, hydraulic jumps over smooth and macrorough beds have been investigated to enhance energy dissipation, but triangular macroroughness, specifically the right-angled triangular macroroughness, has not been dealt with. The objective of this article is to numerically investigate submerged hydraulic jumps over right angle and isosceles triangular macrorough beds. To achieve this, a numerical model based on computational fluid dynamics (CFD) has been utilized. Numerically obtained jump characteristics such as submerged depth ratio, tailwater depth ratio, longitudinal velocity profile, flow pattern in the cavity region, and energy dissipation have been presented in detail. In particular, initial Froude number reduction in both tailwater and submerged depth ratios as well as an increase in the energy dissipation of submerged hydraulic jumps have been noticed on isosceles triangular macroroughness with different arrangements, as compared to smooth beds. The present numerical model has been validated with the experimental model, and the mean error between the two for submerged depth and tailwater depth ratios was found to be below 6%. This confirms the adequacy of the present CFD model in predicting relevant submerged hydraulic jump characteristics over macrorough beds.
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水下水力跃迁在三角形宏观韧性上的数值研究
水力跃迁是明渠中出现的一种现象。在过去的研究中,人们研究了光滑河床和大褶皱河床上的水力跃迁,以增强能量耗散,但三角形大褶皱,特别是直角三角形大褶皱,尚未得到研究。本文的目的是对直角三角形和等腰三角形宏褶皱床的水下水力跃迁进行数值研究。为此,采用了基于计算流体动力学(CFD)的数值模型。详细介绍了通过数值计算获得的跃迁特征,如水下深度比、尾水深度比、纵向流速剖面、空腔区域的流动模式和能量耗散。特别是,与光滑河床相比,在具有不同排列方式的等腰三角形水力跃层上,尾水深比和浸没水深比的初始 Froude 数都有所降低,浸没水力跃层的能量耗散也有所增加。本数值模型已与实验模型进行了验证,发现两者在浸没深度和尾水深度比方面的平均误差低于 6%。这证实了本 CFD 模型足以预测大褶皱床面的相关水下水力跃迁特性。
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