Darcy-Weisbach resistance coefficient determination using Newton-Raphson approach for android 4.0
Context: The article presents the friction coefficient calculation for pressure pipes, from Newton-Raphson numerical method, under JavaScript source code for Android 4.0 or higher. Methodology: The code development is based on Colebrook-White model for turbulent flows. The app also establishes th...
| Main Authors: | , , |
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| Format: | Article |
| Language: | Spanish |
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Universidad Distrital Francisco Jose de Caldas
2019-04-01
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| Series: | Tecnura |
| Subjects: | |
| Online Access: | https://revistas.udistrital.edu.co/index.php/Tecnura/article/view/14929 |
| Summary: | Context: The article presents the friction coefficient calculation for pressure pipes, from Newton-Raphson numerical method, under JavaScript source code for Android 4.0 or higher.
Methodology: The code development is based on Colebrook-White model for turbulent flows. The app also establishes the friction coefficient for laminar flows from the Poiseuille equation and determines the range for the enter flow in a transition zone (unstable flow). An algorithm of successive approximations was implemented for non-linear equation solution based on the relative roughness and Reynolds number.
Results: In the Newton-Raphson method, if the initial value moves away from zero or presents different inflection points, the probability of divergence of the method increases significantly. To overcome this anomaly, a friction coefficient equal to 0.015 was proposed as initial (seed) value; thereby we guarantee the convergence for turbulent flows with an approximation of 0.0000001. The values calculated by the app were calibrated with the Excel analysis tool (Goal Seek).
Conclusion: The app is available for free in Google Play Store, and is a tool to support educational processes and the professional field. |
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| ISSN: | 0123-921X 2248-7638 |