Rigid-Column Model for Rapid Filling in a Partially Filled Horizontal Pipe
Publication: Journal of Hydraulic Engineering
Volume 147, Issue 2
Abstract
Uncontrolled filling is often seen in storm sewers under wet weather conditions. This study develops a rigid-column model for rapid filling in a partially filled horizontal pipe with entrapped air. Numerical solutions compare very well with experimental measurements from earlier studies. Parametric analysis is conducted by nondimensionalizing the governing equations, and two typical scenarios are numerically investigated in detail: one with a fixed air pocket length and the other with a fixed air pocket volume under different tailwater depths. For the cases with a fixed air pocket length, the peak pressure becomes greater as the tailwater depth increases when the length ratio of the water column and the air pocket is large, whereas the trend is reversed when the length ratio is small. And the critical length ratio is system-dependent. In cases with a fixed air volume, the peak pressure is monotonically reduced with the increase in the tailwater depth. The proposed model can also be adapted for rapid filling with ventilation and surges in closed-conduit flows.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work was supported by the National Natural Science Foundation of China under Grant No. 51809240. The study was also partially funded by the Key Research and Development Program of Zhejiang Province (2020C03082), the Fundamental Research Funds for the Provincial Universities of Zhejiang (SJLZ2021004), and the Natural Sciences and Engineering Research Council (NSERC) of Canada.
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Published In
Journal of Hydraulic Engineering
Volume 147 • Issue 2 • February 2021
Copyright
© 2020 American Society of Civil Engineers.
History
Received: May 18, 2020
Accepted: Sep 15, 2020
Published online: Dec 4, 2020
Published in print: Feb 1, 2021
Discussion open until: May 4, 2021
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