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Series and parallel pipelines system solutions using Regula Falsi method scripted in Mathematica | ||
Journal of Applied Research in Water and Wastewater | ||
مقاله 4، دوره 6، شماره 1 - شماره پیاپی 11، فروردین 2019، صفحه 25-31 اصل مقاله (1.35 M) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22126/arww.2019.1129 | ||
نویسندگان | ||
Majid Rahimpour* 1؛ Mohamad Reza Madadi2 | ||
1Department of Water Engineering, Faculty of Agriculture, Shahid Bahonar University of Kerman, Kerman, Iran | ||
2Department of Water Engineering, Faculty of Agriculture, Jiroft University, Jiroft, Iran | ||
چکیده | ||
Friction factor is an important hydraulic parameter for design of pipeline systems. There are several formulations for calculating the friction factor, among which Colebrook–White equation is the most accurate and repute formula. Owing to the implicit nature of friction factor in Colebrook–White equation, iterative methods are required to calculate this factor. In this study, Regula Falsi iterative numerical scheme was used to solve the implicit nonlinear equation of friction factor in the Mathematica programming tool. Case examples including different series and parallel pipeline systems were presented and solved. The results indicated high capability of Regula Falsi method in solving both the parallel and series systems. It was found that the solution by Mathematica differ significantly from conventional methods and can be desirably used for solving different hydraulic problems. The use of Mathematica with its huge features permits the researchers to be more professional in formulations of engineering problems and interpretations of results. | ||
کلیدواژهها | ||
Hydraulic design؛ Pipeline systems؛ Mathematica؛ Frictional head losses | ||
مراجع | ||
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