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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Semi-analytical solution for one-dimensional unsteady sediment transport model in open channel with concentration-dependent settling velocity
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Semi-analytical solution for one-dimensional unsteady sediment transport model in open channel with concentration-dependent settling velocity

机译：开放通道一维不稳定沉积物运输模型的半分析解决方案依赖性沉降速度

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摘要

This paper aims to solve the one-dimensional unsteady suspended sediment transport equation in open channels through a semi-analytical approach. The presence of a large amount of particles in flow change the settling velocity of a particle, and this phenomenon, commonly known as hindered settling effect, must be taken into account to deal with high concentrated flows. Inclusion of this mechanism makes the governing equation nonlinear, and together with this nonlinear governing equation, a generalized bottom boundary condition is taken in terms of deposition velocity and equilibrium bottom concentration. An explicit series solution is presented using the method of lines based homotopy analysis method, and the convergence of the series solution is gained through a convergence control parameter. The solution is validated by comparing it with the existing solution as well as a numerical one. Apart from that, the solution has also been validated under a steady-state condition with available experimental data. Results are interpreted both graphically and physically. It is found that the hindered settling effect is dominant in the main flow region only, for sediment free inlet for all types of turbulent diffusion coefficients. On the other hand, in the case of uniform sediment concentration at the inlet, hindered settling affects the concentration in the top portion of the channel too for linear and parabolic profiles of turbulent diffusion coefficients.
机译：本文旨在通过半分析方法解决开放通道中的一维不稳定悬浮沉积物传输方程。在流动中存在大量颗粒的颗粒的沉降速度，并且这种现象通常称为受阻沉降效果，必须考虑到高浓缩流。包含该机制使控制方程非线性，以及与该非线性控制方程一起，在沉积速度和平衡底部浓度方面采用广义底部边界条件。使用基于线的同型同型分析方法的方法提出了一种显式系列解决方案，通过收敛控制参数获得了串联解决方案的收敛性。通过将其与现有解决方案以及数值进行比较来验证解决方案。除此之外，解决方案也在具有可用实验数据的稳态条件下验证。结果在图形和物理上解释。发现受阻沉降效果仅在主流量区域中占主导地位，对于所有类型的湍流扩散系数的沉积物入口。另一方面，在入口处均匀沉积物浓度的情况下，阻碍沉降也影响通道顶部的浓度，对于湍流扩散系数的线性和抛物线曲线也是如此。

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