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Evaluation of Darcy–Weisbach Friction Factors of Fiberglass Pipes Based on Internal Surface Roughness Measurement

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Abstract

Assessment of energy head loss and the friction coefficient is a significant factor in fluid mechanics and the design of pipeline systems. Estimation of head loss and friction coefficient of FARATEC glass-reinforced plastic (GRP) pipes are considered by different profilometry methods in this study. It is based on surface roughness measuring by profilometry and special surface roughness instruments to compute the surface roughness and friction coefficient of GRP pipes. This method was used to compute the Darcy–Weisbach friction factor f of GRP pipes in the current range of flow velocities and pipe diameters based on Colebrook–White equation. In this method, surface roughness was measured by three instruments, and the friction factor f is computed numerically. The Surftest SJ-210 instrument obtained the best and most accurate surface roughness measurements among the other instruments. Also, Rz and Ra with λc, 0.8 and 2.5, respectively, are calculated as appropriate roughness parameters to evaluate the surface roughness of GRP pipe samples. All Darcy–Weisbach f coefficients and Moody diagrams were computed accurately and compared to reference friction factors. Therefore, the surface roughness and friction factor (f) of GRP pipes for commercial diameters are placed in the range of smooth pipes.

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References

  • Adam T, Grant C (2012) A simple algorithm to relate measured surface roughness to equivalent sand-grain roughness. IJMME 1(1):66–71. https://doi.org/10.11159/ijmem.2012.008

    Article  Google Scholar 

  • Assefa KM, Kaushal DR (2015) A comparative study of friction factor correlations for high concentrate slurry flow in smooth pipes. J Hydrol Hydromech 63(1):13–20

    Article  Google Scholar 

  • Barr DIH (1981) Solutions of the Colebrook-White functions for resistance to uniform turbulent flows. Proc Inst Civ Engrs 2(71)

  • Brown CA (2017) Introduction to surface roughness measurement roughness measurement guidebook. OLYMPUS Corporation Shinjuku Monolith, Tokyo 163–0914, Japan. N8600858–102020.

  • Buzzelli D (2008) Calculating friction in one step. Mach Des 80:54–55

    Google Scholar 

  • Cahyono M (2022) Hybrid models for solving the Colebrook-White equation using artificial neural networks. Fluids 7:211. https://doi.org/10.3390/fluids7070211

    Article  Google Scholar 

  • Chen NH (1977) An explicit equation for friction factor in Pipe. Ind Eng Chem Fundam 18(3):296–297

    Article  Google Scholar 

  • Churchill SW (1977) Friction factor equations spans all fluid-flow ranges. Chem Eng 91

  • Colebrook CF, White CM (1937) Experiments with fluid friction in roughened pipes. In: Proceedings of the Royal Society of London. Series A, Math. Phys. Sci. 161(906):367–381. doi:https://doi.org/10.1098/rspa.1937.0150.

  • Daneshvar FA, Talebbeydokhti N, Dehghan SM, Elhamian SMM (2020) Evaluation and determination of friction coefficient of fiberglass pipes (GRP) to study the factors affecting energy loss and hydraulic design of pipeline. Post-doctoral thesis, Shiraz University, Shiraz, Iran

  • Danish M, Kumar S, Kumar S (2011) Approximate explicit analytical expressions of friction factor for flow of Bingham fluids in smooth pipes using Adomian decomposition method. Commun Nonlinear Sci 16(1):239–251

    Article  MathSciNet  MATH  Google Scholar 

  • Darby R, Melson J (1981) How to predict the friction factor for flow of Bingham Plastics. Chem Eng 28:59–61

    Google Scholar 

  • Darcy H (1857) Recherches experimentales relatives au mouvement de L’Eau dans les Tuyaux, Mallet-Bachelier, Paris, France

  • DIN 4768/1 (1987) Determination of surface soughness of parameters Ra, Rz, and Rmax by means of electrical stylus instruments. Berlin: Deutsche Inst fuer Normung e.V.

  • Dzarma GW, Adeyemi AB, Taj-Liad AA (2020) Effect of inner surface roughness on pressure drop in a small diameter pipe. IJNRES 7(1):1–8

    Google Scholar 

  • Effendi MK, Soepangkat BO, Noorcahyo R, Batan IML, Wahyudi A, Harnany D (2021) An analysis of frictional coefficient and surface roughness in surface grinding of SKD 11 tool steel using Minimum Quantity Lubrication (MQL) and dry techniques. In: IOP Conference Series: Materials Science and Engineering. 1034(1):012100. doi:https://doi.org/10.1088/1757-899X/1034/1/012100

  • Fanning TA (1886) Practical treatise and hydraulic and water supply engineering. Van Nostrand (revised edition of 1877).

  • FARATEC installation manual (2018) http://farassan.com/en/2018/07/07/installation/.

  • Farshad FF, Pesacreta TC (2003) Coated pipe interior surface roughness as measured by three scanning probe instruments. Anti-Corros Method M 50(1):6–16

    Article  Google Scholar 

  • Farshad FF, Rieke HH (2005) Technology innovation for determining surface roughness in pipes. J Pet Technol 57(10):82–85

    Article  Google Scholar 

  • Farshad FF, Rieke HH, Garber JD (2001) New developments in surface roughness measurements, characterization, and modeling fluid flow in pipe. J Pet Sci Eng 29(2):139–150

    Article  Google Scholar 

  • Farshad FF, Rieke HH (2006) Surface-roughness design values for modern pipes. In: SPE 89040 presented at the SPE Drilling and Completion, 89040, 212–215.

  • American Water Works Association (AWWA) (1999) Fiberglass pipe design. AWWA manual M45

  • Forschung auf dem Gebiete des Ingenieurwesens Ausage B Band 4, July/August (1933) English Translation Laws of flow in rough pipes. NACA Tech. Mem. 1292.

  • Ghanbari A, Farshad F, Rieke H (2011) Newly developed friction factor correlation for pipe flow and flow assurance. JCEMS 2:83–86

    Google Scholar 

  • Glustolisi O, Berardi L, Walski TM (2011) Some explicit formulations of Colebrook-White friction factor considering accuracy vs. computational Speed. J Hydroinformatics 13:401–418. https://doi.org/10.2166/hydro.2010.098

    Article  Google Scholar 

  • Haaland SE (1983) Simple and Explicit formulas for friction factor in turbulent pipe flow. Trans ASME JFE 105.

  • Hafsi Z (2021) Accurate explicit analytical solution for Colebrook-White equation. Mech Res Commun 111:103646. https://doi.org/10.1016/j.mechrescom.2020.103646

    Article  Google Scholar 

  • Huang K, Wan JW, Chen CX, Li YQ, Mao DF, Zhang MY (2013) Experimental investigation on friction factor in pipes with large roughness. Exp Therm Fluid Sci 50:147–153. https://doi.org/10.1016/j.expthermflusci.2013.06.002

    Article  Google Scholar 

  • Kandlikar SG (2014) Single-phase liquid flow in minichannels and microchannels. Int J Heat Mass Transf 2:103–174

    Google Scholar 

  • Kandlikar SG, Schmitt D, Carrano AL, Taylor JB (2005) Characterization of surface roughness effects on pressure drop in single-phase flow in minichannels. Phys Fluids 10(1063/1):1896985

    MATH  Google Scholar 

  • Khaday S, Li K-W, Peng L, Chen C-C (2021) Relationship between friction coefficient and surface roughness of stone and ceramic floors. Coatings 11(10):1254. https://doi.org/10.3390/coatings11101254

    Article  Google Scholar 

  • Liu Y, Li J, Smits AJ (2019) Roughness effects in laminar channel flow. J Fluid Mech 876:129–1145

    Article  Google Scholar 

  • Locher FA (2000) Discussion of ‘limitations and proper use of the Hazen-Williams equation by C. P Liou J Hydraul Eng 126(2):167–169

    Article  MathSciNet  Google Scholar 

  • McKeaon BJ, Swanson CJ, Zagarola MV, Donnelly RJ, Smits AJ (2004) Friction factors for smooth pipe flow. J Fluid Mechan 511:41–44

    Article  MATH  Google Scholar 

  • Mises RV (1914) Elemente der technischen hydrodynamik. B. G. Teubner, Leipzig

  • Mitutoyo America Corporation (2009) Surface roughness measurement. In: Practical tips for laboratory and workshop Bulletin, No. 1984, 1–888-MITUTOYO (1–888–648–8869).

  • Mitutoyo Corporation User’s Manual (2013) Surface roughness tester SJ-210. No. 99MBB122A2, SERIES No. 178. http://www.mitutoyo.co.jp/global.html./

  • Mitutoyo America corporation, (2016). Quick guide to surface roughness measurement. Reference guide for laboratory and workshop Bulletin, No. 2229, 1–888-MITUTOYO (1–888–648–8869)

  • Moody LF (1944) Friction factors for pipe flow. Trans ASME 66(8):671–684

    Google Scholar 

  • Morrison FA, (2013) Data correlation for friction factor in smooth pipes. Department of Chemical Engineering, Michigan Technological University, Houghton, MI

  • Nikuradse, J (1937) Strommungsgesetze in Rauen Rohren, VDI-Forschungsheft 361, Beligezu

  • Offor UH, Alabi SB (2016) An accurate and computationally efficient explicit friction factor model. Adv Chem Eng Sci 6:237–245

    Article  Google Scholar 

  • Orsi E, Sanfilippo U (2004) Uncertainty in experimental evaluation of Chezy-Strickler-Manning and Colebrook-White roughness coefficients in circular pipes. IGHEM 2004

  • Reason RE (1979) Progress in the appraisal of surface topography during the first half-century of instrument development. Wear 57:1–16

    Article  Google Scholar 

  • Reason RE, Hopkins MR, Garrod RI (1944) Report on the measurement of surface finish by stylus methods, Rank Organization. Leicester, UK

  • Romeo E, Royo C, Monzon A (2002) Improved explicit equations for estimation of the friction factor in rough and smooth pipes. Chem Eng J 86:369–374

    Article  Google Scholar 

  • Round GF (1980) An explicit approximation for the friction factor-Reynolds number relation for rough and smooth pipes. Can J Chem Eng 58:122–123

    Article  Google Scholar 

  • Roushangar K, Homayounfar F (2015) Prediction of flow friction coefficient using GEP and ANN methods. Int J Artif Intell 4(2). ISSN 2320–5121.

  • Samadianfard S, Sattari MT, Kisi O, Kazemi H (2014) Determining flow friction factor in irrigation pipes using data mining and artificial intelligence approaches. Appl Artif Intell 28:793–813

    Article  Google Scholar 

  • Sherrington I, Smith EH (1988) Modern techniques in surface metrology: part I; stylus instruments electron microscopy and non-optical comparators. Wear 125(3):271–288

    Article  Google Scholar 

  • Slatter PT (1995) The turbulent flow of non-Newtonian slurries in pipe. In: Proceedings 8th Conference on Transport and sedimentation of solid particles. Prague, A3

  • Sletfjerding E, Gudmundsson JS (2003) Friction factor directly from roughness measurements. Energy Resour Technol 125(2):126–130. https://doi.org/10.1115/1.1576264

    Article  Google Scholar 

  • Sonnad JR, Goudar CT (2006) Turbulent flow friction factor calculation using a mathematically exact alternative to the Colebrook-White equation. J Hydraul Eng 132:863–867. https://doi.org/10.1061/(ASCE)0733-9429(2006)132:8(863)

    Article  Google Scholar 

  • Swamee PK, Jain AK (1976) Explicit equations for pipe-flow problems. J Hydraul Res 102(5):657–664. https://doi.org/10.1061/JYCEAJ.0004542

    Article  Google Scholar 

  • Taylor JB, Carrano AL, Kandlikar SG (2006) Characterization of the effect of surface roughness and texture on fluid flow - past, present, and future. Int J Therm Sci 45(10):962–968

    Article  Google Scholar 

  • Engineering ToolBox (2003) Ventilation ducts - roughness and surface coefficients. https://www.engineeringtoolbox.com/surface-roughness-ventilation-ducts-d_209.html

  • Turgut OE, Asker M, Çoban MT (2014) A review of non-iterative friction factor correlations for the calculation of pressure drop in pipes. J Sci Technol. https://doi.org/10.17678/beujst.90203

    Article  Google Scholar 

  • U.S. Bureau of Reclamation (1965) Friction factors for large conduit flowing full. In: Engineering Monograph No. 7, U.S. Dept. of Interior, Washington, D.C.

  • Von Bernuth RD, Wilson T (1989) Friction factors for small diameter plastic pipes. J Hydraul Eng 115(2):183–192

    Article  Google Scholar 

  • Weisbach J (1855) Die experimental hydraulik. Freiberg, Germany: Engelhardt.

  • Wilson KC, Thomas AD (1985) New analysis of the turbulent flow of non-Newtonian fluids. Can J Chem Eng 63:539–546

    Article  Google Scholar 

  • Xue P, Huang Z, Chen C (2022) Effect of substrate roughness on the friction and wear behaviors of laser-induced graphene film. Lubricants 10(10):239

    Article  Google Scholar 

  • Yasmina L, Rachid L (2015) Evaluation of energy losses in pipes. Am J Mech Eng 3(3A):32–37

    Google Scholar 

Download references

Acknowledgements

The authors are grateful for the financial support by FARATEC Novin Parseh Company, the R&D center for the FARASSAN Industrial and Manufacturing Company. The kind support of Drs. Mohammad-Reza Zahiremami and Mahnaz Zahiremami is highly acknowledged. The authors also appreciate using the IRASOL (PFM 5020) profilometer, and portable surface roughness tester (Surftest SJ-210) instruments at the cleanroom laboratory of Shiraz University, and the physics laboratory of the Shiraz University of Technology, respectively.

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The authors declare that no funds, grants, or other support were received during the preparation of this manuscript.

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, Shiraz University, Shiraz, Iran

    Farnoush Aghaee Daneshvar

  2. Department of Civil and Environmental Engineering, Head of Environmental Research and Sustainable Development Center, Shiraz University, Shiraz, Iran

    Nasser Talebbeydokhti

  3. Department of Civil and Environmental Engineering, Shiraz University of Technology, Shiraz, Iran

    Seyed Mehdi Dehghan

  4. Faratec N.P. Technology Center, Farassan Industrial Group, Shiraz, Iran

    Seyed Mohammad Mehdi Elhamian

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  1. Farnoush Aghaee Daneshvar
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  4. Seyed Mohammad Mehdi Elhamian
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All authors contributed to the study conception and design. Material preparation, data collection, and analysis were performed by all authors. All authors read and approved the final manuscript.

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Correspondence to Farnoush Aghaee Daneshvar.

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Daneshvar, F.A., Talebbeydokhti, N., Dehghan, S.M. et al. Evaluation of Darcy–Weisbach Friction Factors of Fiberglass Pipes Based on Internal Surface Roughness Measurement. Iran J Sci Technol Trans Civ Eng 47, 1749–1762 (2023). https://doi.org/10.1007/s40996-023-01071-4

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