<abstract xmlns="http://www.w3.org/1999/xhtml"><p>To calculate the critical depth and the least specific energy of steady non-uniform flows in open channels, one has to solve the polynomial equations. Sometimes, the polynomial equations are too difficult to get them solved. In this study, the theory of algebraic inequality has been used to derive formulas for determining the critical depth and the least specific energy of a steady non-uniform flow in open channel. The proposed method has been assessed using examples. Results using this new method have been compared to those using other conventional methods by engineers and scientists. It is found that the proposed method based on algebraic inequality theory not only makes the calculation process to be easy, but also gives the best calculation results of the critical depth and the least specific energy of a steady nonuniform flow.</p></abstract>

To calculate the critical depth and the least specific energy of steady non-uniform flows in open channels, one has to solve the polynomial equations. Sometimes, the polynomial equations are too difficult to get them solved. In this study, the theory of algebraic inequality has been used to derive formulas for determining the critical depth and the least specific energy of a steady non-uniform flow in open channel. The proposed method has been assessed using examples. Results using this new method have been compared to those using other conventional methods by engineers and scientists. It is found that the proposed method based on algebraic inequality theory not only makes the calculation process to be easy, but also gives the best calculation results of the critical depth and the least specific energy of a steady nonuniform flow.

Calculation of critical flow depth using method of algebraic inequality

Journal of Hydrology and Hydromechanics

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

{"article-title":"Calculation of critical flow depth using method of algebraic inequality"}

To calculate the critical depth and the least specific energy of steady non-uniform flows in open channels, one has to solve the polynomial equations....

Calculation of critical flow depth using method of algebraic inequality

Published Online: Aug 14, 2018

Page range: 316 - 322

Received: Oct 23, 2017

Accepted: Dec 13, 2017

DOI: https://doi.org/10.2478/johh-2018-0020

Keywords
Critical depth, Mean value inequality, Steady non-uniform flow, Specific energy, Algebraic inequality

© 2018 Jueyi Sui, published by Sciendo

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

Calculation of critical flow depth using method of algebraic inequality

Published Online: Aug 14, 2018

Page range: 316 - 322

Received: Oct 23, 2017

Accepted: Dec 13, 2017

DOI: https://doi.org/10.2478/johh-2018-0020

KeywordsCritical depth, Mean value inequality, Steady non-uniform flow, Specific energy, Algebraic inequality

© 2018 Jueyi Sui, published by Sciendo

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

Keywords
Critical depth, Mean value inequality, Steady non-uniform flow, Specific energy, Algebraic inequality