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Article

New Equation for Predicting Pipe Friction Coefficients Using the Statistical Based Entropy Concepts

Department of Civil and Environmental Engineering, Pusan National University, Busan 46241, Korea
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Author to whom correspondence should be addressed.
Academic Editor: Raúl Alcaraz
Received: 12 April 2021 / Revised: 12 May 2021 / Accepted: 13 May 2021 / Published: 14 May 2021
(This article belongs to the Section Information Theory, Probability and Statistics)
In general, this new equation is significant for designing and operating a pipeline to predict flow discharge. In order to predict the flow discharge, accurate determination of the flow loss due to pipe friction is very important. However, existing pipe friction coefficient equations have difficulties in obtaining key variables or those only applicable to pipes with specific conditions. Thus, this study develops a new equation for predicting pipe friction coefficients using statistically based entropy concepts, which are currently being used in various fields. The parameters in the proposed equation can be easily obtained and are easy to estimate. Existing formulas for calculating pipe friction coefficient requires the friction head loss and Reynolds number. Unlike existing formulas, the proposed equation only requires pipe specifications, entropy value and average velocity. The developed equation can predict the friction coefficient by using the well-known entropy, the mean velocity and the pipe specifications. The comparison results with the Nikuradse’s experimental data show that the R2 and RMSE values were 0.998 and 0.000366 in smooth pipe, and 0.979 to 0.994 or 0.000399 to 0.000436 in rough pipe, and the discrepancy ratio analysis results show that the accuracy of both results in smooth and rough pipes is very close to zero. The proposed equation will enable the easier estimation of flow rates. View Full-Text
Keywords: entropy concept; friction factor; pipe flow; pipe friction coefficient entropy concept; friction factor; pipe flow; pipe friction coefficient
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MDPI and ACS Style

Choe, Y.-W.; Sim, S.-B.; Choo, Y.-M. New Equation for Predicting Pipe Friction Coefficients Using the Statistical Based Entropy Concepts. Entropy 2021, 23, 611. https://0-doi-org.brum.beds.ac.uk/10.3390/e23050611

AMA Style

Choe Y-W, Sim S-B, Choo Y-M. New Equation for Predicting Pipe Friction Coefficients Using the Statistical Based Entropy Concepts. Entropy. 2021; 23(5):611. https://0-doi-org.brum.beds.ac.uk/10.3390/e23050611

Chicago/Turabian Style

Choe, Yeon-Woong, Sang-Bo Sim, and Yeon-Moon Choo. 2021. "New Equation for Predicting Pipe Friction Coefficients Using the Statistical Based Entropy Concepts" Entropy 23, no. 5: 611. https://0-doi-org.brum.beds.ac.uk/10.3390/e23050611

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