Document Type
Article
Publication Date
7-21-2021
Publication Title
Water
Publisher
MDPI
Volume
13
Issue
15
First page number:
1
Last page number:
10
Abstract
We present a new method to evaluate the hydraulic jump characteristics in a horizontal rectangular channel with a positive step. We considered the flow curvature effect and the free surface’s small rise at the A-type hydraulic jump’s end. First, we present a novel method to give jump length estimation based on the similarity of the jump and the turbulent wall-jet, considering the pressure gradient. Then, considering the jump as a curvilinear flow and using a one-dimensional momentum equation, we present an accurate expression for the conjugate flow depth regarding the initial Froude number and step height. Finally, we compute the jump’s energy dissipation rate. Compared to the theoretical models for conjugate flow depth in a hydraulic jump, the proposed equation in this study fit the experimental data better, even for high steps and large initial Froude numbers. However, for low Froude numbers (F1 < 5), the equation was less accurate in estimating the jump length. Regarding the jump’s energy dissipation rate, the results agreed well with the experimental data from previous investigations. However, it is noted that the increased energy dissipation rate dwindled in larger Froude numbers.
Keywords
Conjugate flow depth; Flow curvature; Hydraulic jump; Jump length; Positive step; Wall jet
Disciplines
Civil and Environmental Engineering | Engineering | Hydraulic Engineering
File Format
File Size
3639 KB
Language
English
Rights
IN COPYRIGHT. For more information about this rights statement, please visit http://rightsstatements.org/vocab/InC/1.0/
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Repository Citation
Mohammadi, M.,
Nazari-Sharabian, M.,
Karakouzian, M.
(2021).
A Novel Analytical Method for Evaluating the Characteristics of Hydraulic Jump at a Positive Step.
Water, 13(15),
1-10.
MDPI.
http://dx.doi.org/10.3390/w13152005