Abstract
In order to investigate the influence of the vertical variation of porosity on open-channel flow with submerged vegetation, vertical non-homogeneous stumps and stems in submerged vegetation flow are simulated with truncated cones in a laboratory flume. First, porosity is defined as a function of water depth. A new governing equation for vegetation flow is established on the basis of the poroelastic media flow theory, and its analytical solution is obtained with the finite analytic method. Then, the fitting expression of permeability is established with experimental data, which shows the variation in permeability with vertical porosity and vegetation density. Finally, the calculated velocity distribution is compared with the measured velocity distribution. The theoretical results are in good agreement with the experimental data, which indicates that the theoretical formula accurately and practically predicts vertical velocity distribution in complex open-channel flow with submerged vegetation.
Highlights
Vegetation flow generally exists in nature, and plays a significant role in flood control and sediment transport
Constant vegetation porosity is a special case of this model; velocity distribution can be obtained with the finite analytic method
This paper studied the influence of non-constant vertical porosity on open channel flow with submerged vegetation and obtained the following conclusions
Summary
Vegetation flow generally exists in nature, and plays a significant role in flood control and sediment transport. Previous scholars have made numerous achievements on open-channel flow through rigid vegetation, but they assumed vertical porosity to be constant during calculation and selected rigid cylinder to simulate vegetation in their experiments. M. Nepf [1] applied a one-dimensional numerical model to predict the vertical velocity distribution of submerged vegetation flow by assuming a single mixing length above the vegetation. Cui J et al [2] investigated fully developed turbulent flows with submerged vegetation by using Large Eddy Simulation. Their study analyzed the role of coherent structures on the momentum transfer across the waterplant interface. To investigate the effects of vegetation on flow structure, Gao. G et al [4] applied a model with the two-layer mixing length
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