An algorithmic method supported by paraconsistent annotated logic applied to the determination of friction factors for turbulent flow in smooth pipes

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Abstract

The high complexity of the study of fluid flow is due to the existence of an excessive number of formulas to determine analytically the friction factor in pipelines. Currently, with more than a dozen formulas and the obligation of using graphics with readings on logarithmic scales for this purpose, the results are obtained with some degree of uncertainty. Recent work, with treatment of uncertainties, suggests that these complex calculations can be better performed with the basis of non-classical logic, such as the paraconsistent annotated logic (PAL) which has as a fundamental property the acceptance of contradictions. In this chapter we present a method that uses algorithms of PAL to make analysis in tests of fluid flow in smooth pipes. The PAL algorithms select and classify various results originating from the various equations for the obtaining of friction factor and, according to the Reynolds number, they optimize the calculation application of hydraulic projects in smooth pipes.

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Mário, M. C., Lopes, M. D., Fernandes, C. L. M., Garcia, D. V., Da Silva Filho, J. I., Morilla, J. C., … de Moraes, D. (2015). An algorithmic method supported by paraconsistent annotated logic applied to the determination of friction factors for turbulent flow in smooth pipes. Intelligent Systems Reference Library, 94, 153–174. https://doi.org/10.1007/978-3-319-19722-7_7

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