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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Munson, B.R., Young, D.F., Okiisshi, T.H.: Fundamentals of Fluid Mechanics. Wiley, New York (1998)
Tullis, J.P.: Hydraulics of Pipelines. Wiley, New York (1989)
Colebrook, C.F.: Turbulent flow in pipes with particular reference to the transition region between the smooth and rough pipe laws. Proc. Inst. Civil Eng. 12, 393–422 (1939)
Darcy, H.: Recherches expérimentales relatives au mouvement de l’eau dans les tuyaux, Mallet-Bachelier, Paris. 268 pages and atlas (1857) (in French)
Olujic, Z.: Compute friction factors fast for flow in pipes. Chem. Eng. 88, 91–93 (1981)
Colebrook, C.F., White, C.M.: Experiments with fluid-friction in roughened pipes. Proc. R. Soc. London 161, 367–381 (1937)
Serghides, T.K.: Estimate friction factor accurately. Chem. Eng. 91, 63–64 (1984)
Abe, J.M., Da Silva Filho, J.I.: Inconsistency and electronic circuits. In: Alpaydin, E. (ed.) Proceedings of EIS’98 International ICSC Symposium on Engineering of Intelligent Systems, vol. 3, pp. 191–197. Artificial Intelligence, ICSC Academic Press, Rochester, 1998
Da Silva Filho, J.I., Lambert-Torres, G., Abe, J.M.: Uncertainty Treatment Using Paraconsistent Logic—Introducing Paraconsistent Artificial Neural Networks, 328 pp. IOS Press, Amsterdam, Netherlands, 2010. doi:10.3233/978-1-60750-558-7-i
Da Silva Filho, J.I.: Algorithms Based on Paraconsistent Annotated Logic for Applications in Expert Systems. In: Segura, J.M., Reiter, A.C. (eds.) Expert System Software: Engineering, Advantages and Applications. Nova Science Publishers, Inc. 400 Oser Avenue, Suite 1600, Hauppauge, NY 11788-3619, USA, 2011. ISBN: 978-1-61209-114-3
Nakayama, Y., Boucher, R.F.: Introduction to Fluid Mechanics. Butterworth Heinemann, Oxford (1999)
Cengel, Y.A., Cimbala, J.M.: Fluid Mechanics. McGraw Hill, New York (2006)
McDonough, J.M.: Lectures in Elementary Fluid Dynamics: Physics, Mathematics and Applications. University of Kentucky, Lexington (2004)
Gulyani, B.B.: Simple equations for pipe flow analysis. Hydrocarbon Process. 78, 67–70 (1999)
Sonnad, J.R., Goudar, C.T.: Turbulent flow friction factor calculation using a mathematically exact alternative to the Colebrook-White equation. J. Hydraul. Eng. 132(8), 863–867 (2006)
Da Silva Filho J.I.: Treatment of uncertainties with algorithms of the paraconsistent annotated logic. J. Intell. Learn. Syst. Appl. 4(2), 144–153 (2012). doi:10.4236/jilsa.2012.42014
Abe, J.M., Lopes, H.F.S., Anghinah, R.: Paraconsistent artificial neural networks and Alzheimer disease—a preliminary study. Dement. Neuropsychol. 3, 241–247 (2007)
Da Silva Filho, J.I., Lambert-Torres, G., Ferrara, L.F.P., Mc, Mario, Mr, Santos, As, Onuki, Jm, Camargo, Rocco, A.: Paraconsistent algorithm extractor of contradiction effects—Paraextrctr. J. Softw. Eng. Appl. 4, 579–584 (2011)
Sonnad, J.R., Goudar, C.T.: Explicit friction factor correlation for pipe flow analysis. Hydrocarbon Process. 84, 103–105 (2005)
Ludwig, E.E.: Applied Process Design for the Chemical and Petrochemical Plants, Third edn, vol. 1. Gulf Professional Publishing (1999)
Mario, M.C., Abe, J.M., Ortega, N.R., Jr Del Santo, M.: Paraconsistent artificial neural network as auxiliary in cephalometric diagnosis. Artif. Organs 34(7), 215–221 (2010). doi:10.1111/j.1525-1594.2010.00994.x
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Mário, M.C. et al. (2015). An Algorithmic Method Supported by Paraconsistent Annotated Logic Applied to the Determination of Friction Factors for Turbulent Flow in Smooth Pipes. In: Abe, J. (eds) Paraconsistent Intelligent-Based Systems. Intelligent Systems Reference Library, vol 94. Springer, Cham. https://doi.org/10.1007/978-3-319-19722-7_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-19722-7_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-19721-0
Online ISBN: 978-3-319-19722-7
eBook Packages: EngineeringEngineering (R0)