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Pumping Pressure Estimation Using Famous Turbulent Fluid Mechanics Equations Through Python Simulations
American Journal of Mechanical and Industrial Engineering
Volume 5, Issue 4, July 2020, Pages: 53-58
Received: Sep. 21, 2019; Accepted: Jun. 23, 2020; Published: Sep. 8, 2020
Author
Luciana Claudia Martins Ferreira Diogenes, Independent Researcher, Frutal, Brazil
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Abstract
One of the most important tasks when designing a pumping system is for the engineer or specialist to know the components to be used including the pumps. Knowledge about the project helps to achieve a more economical system with less risk of failure. One of these failures may result in the insertion of a pump that does not generate the proper pressure, causing the system not to function as designed. To know the pumping pressure in a system containing one pump, one long pipe and one reservoir, it is necessary to know which are the possible equations that could calculate the friction factor f more accurately to obtain the pressure. The main equation used in the turbulent regime, where Reynolds number Re (Re> 4,000), is the Colebrook equation and it is a nonlinear equation and it requires numerical programs to calculate the factor friction. Other equations are apparently simpler to employ, but are limited by the Reynolds Re number and / or the relative roughness. The purpose of this paper is to know which of the famous equations in the turbulent regime - Haaland, Blasius, Prandtl, von Karman - could be used to design a bomb when confronted with the calculations obtained by the Colebrook equation. The simulations were programmed in Python and the pumping pressure values and the error percentage were compared.
Keywords
Fluid Mechanics, Pumping, Colebrook, Turbulent Regime, Python
Luciana Claudia Martins Ferreira Diogenes, Pumping Pressure Estimation Using Famous Turbulent Fluid Mechanics Equations Through Python Simulations, American Journal of Mechanical and Industrial Engineering. Vol. 5, No. 4, 2020, pp. 53-58. doi: 10.11648/j.ajmie.20200504.11
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