<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this study, a depth-averaged numerical model was employed to investigate the two-dimensional flow features of transitional open-channel flows from a supercritical to a subcritical state. Compared to a shallow-water model, the proposed model incorporates supplementary terms to account for the effects of non-uniform velocity and non-hydrostatic pressure distributions. The model equation was solved numerically by means of the Adams–Bashforth–Moulton scheme. A wide variety of transitional open-channel flow problems such as hydraulic jumps was considered for assessing the suitability of the numerical model. The results of the model for the free-surface profile, pressure distribution, and characteristics of the first wave of an undular jump were compared with the experimental data, and the agreement was found to be satisfactory. Despite the effects of the three-dimensional characteristics of the flow and the bulking of the flow caused by air entrainment, the model performed reasonably well with respect to the simulations of the mean flow characteristics of the curvilinear turbulent flow problems. Furthermore, the results of this investigation confirmed that the model is more suitable for analyzing near-critical turbulent flow problems without cross-channel shock waves.</p>
</abstract>

In this study, a depth-averaged numerical model was employed to investigate the two-dimensional flow features of transitional open-channel flows from a supercritical to a subcritical state. Compared to a shallow-water model, the proposed model incorporates supplementary terms to account for the effects of non-uniform velocity and non-hydrostatic pressure distributions. The model equation was solved numerically by means of the Adams–Bashforth–Moulton scheme. A wide variety of transitional open-channel flow problems such as hydraulic jumps was considered for assessing the suitability of the numerical model. The results of the model for the free-surface profile, pressure distribution, and characteristics of the first wave of an undular jump were compared with the experimental data, and the agreement was found to be satisfactory. Despite the effects of the three-dimensional characteristics of the flow and the bulking of the flow caused by air entrainment, the model performed reasonably well with respect to the simulations of the mean flow characteristics of the curvilinear turbulent flow problems. Furthermore, the results of this investigation confirmed that the model is more suitable for analyzing near-critical turbulent flow problems without cross-channel shock waves.

Non-Hydrostatic Transitional Open-Channel Flows from a Supercritical to a Subcritical State

Slovak Journal of Civil Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In this study, a depth-averaged numerical model was employed to investigate the two-dimensional flow features of transitional open-channel flows from a...

Non-Hydrostatic Transitional Open-Channel Flows from a Supercritical to a Subcritical State

Published Online: Jul 12, 2021

Page range: 39 - 48

DOI: https://doi.org/10.2478/sjce-2021-0012

Keywords
Undular open-channel flow, Hydraulic jump, Near-critical turbulent flow, Flow instability, Numerical modeling, Curvilinear transitional flow

© 2021 Yebegaeshet T. Zerihun, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Non-Hydrostatic Transitional Open-Channel Flows from a Supercritical to a Subcritical State

Published Online: Jul 12, 2021

Page range: 39 - 48

DOI: https://doi.org/10.2478/sjce-2021-0012

KeywordsUndular open-channel flow, Hydraulic jump, Near-critical turbulent flow, Flow instability, Numerical modeling, Curvilinear transitional flow

© 2021 Yebegaeshet T. Zerihun, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Undular open-channel flow, Hydraulic jump, Near-critical turbulent flow, Flow instability, Numerical modeling, Curvilinear transitional flow