Hydraulics of Fluidized Cavities in Porous Matrices: Cavity Heights and Stability for Upward Water Jets
Publication: Journal of Hydraulic Engineering
Volume 147, Issue 10
Abstract
Theoretical and experimental results for the evolution of cavities generated by upward vertical leakage jets in porous media are presented. The formulation is based on the conservation principles of mass, momentum, and energy. Two conditions were considered: two-dimensional isotropic medium and three-dimensional isotropic medium. The results of the cavity height are given in nondimensional form and related to the Froude number that considers the inlet flow characteristics (width of the slot or diameter of the orifice, and inlet velocity). Both the two-dimensional and the three-dimensional cases provided theoretical results for the length of the cavity limited by a maximum Froude number. This characteristic implies that the cavity destabilizes for Froude numbers higher than this maximum critical value. It was observed that parameters of the porous medium (soil parameters) not present in the conservation formulation must be added a posteriori to cover a larger spectrum of soil possibilities. The experimental results show that the theoretical proposition follows the main characteristics of the observations.
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Data Availability Statement
All data, models, or code that support the findings are available from the corresponding author by request.
Acknowledgments
The authors gratefully acknowledge the support from CNPq, Brazil, (grant BRICS 441115/2016), the Funds for International Cooperation and Exchange of the National Natural Science Foundation of China (Process No. 51761145022), and the National Research Foundation of South Africa (Grant BRICS 160713177851). The first author thanks CAPES (Grant 5723/15/9), and CNPq (Grant 307105/2015), that supported part of this study, and the Cape Town University for the donation of Setup 1 described here.
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Published In
Journal of Hydraulic Engineering
Volume 147 • Issue 10 • October 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Oct 28, 2019
Accepted: Mar 28, 2021
Published online: Aug 5, 2021
Published in print: Oct 1, 2021
Discussion open until: Jan 5, 2022
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