Estimation of Equivalent Sand–Grain Roughness for Coated Water Supply Pipes
Publication: Journal of Pipeline Systems Engineering and Practice
Volume 11, Issue 1
Abstract
The Colebrook equation gives the Darcy-Weisbach friction factor for fluid flow in pipes as a function of sand-grain roughness and the Reynolds number. Values of equivalent sand-grain roughness () have been obtained for various ductile iron pipes coated with different anticorrosion materials through fluid flow experiments, and the results show that the value of calculated by the Colebrook equation varies significantly with the Reynolds number. Considering the uncertainty in the hydraulic data due to errors during lab measurements, the paper shows how to estimate a reasonable value of based on a systematic analysis of uncertainties for a pipe of given diameter, length, flow discharge, and head loss, as well as width, height, and head above the crest of sharp-edged weirs used for flow measurement. The values of for three pipe cases were estimated, and rules pertaining to uncertainty in the relevant parameters and the Reynolds number are summarized with quantitative relation expressions. A sensitivity analysis of the estimation of and some important practical findings are also provided.
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Data Availability Statement
All data, models, or code generated or used during the study are available from the corresponding author by request.
Acknowledgments
This research is financially supported by the National Key Research and Development Program of China (Grant No. 2016YFC0400605), the National Natural Science Foundation of China (Grant No. 51679262), and the IWHR Research & Development Support Program (HY0145B802017 and SKL2018TS07).
References
Adams, T., C. Grant, and H. Watson. 2012. “A simple algorithm to relate measured surface roughness to equivalent sand-grain roughness.” Int. J. Mech. Eng. Mechatron. 1 (2): 66–71. https://doi.org/10.11159/ijmem.2012.008.
Bahrami, M., M. M. Yovanovich, and J. R. Culham. 2006. “Pressure drop of fully developed, laminar flow in rough microtubes.” J. Fluids Eng. 128 (3): 632–637. https://doi.org/10.1115/1.2175171.
Berlamont, J. 2015. “Friction losses in large-diameter pipes.” J. Pipeline Syst. Eng. Pract. 6 (1): 06014004. https://doi.org/10.1061/(ASCE)PS.1949-1204.0000174.
Breuer, M., M. Alletto, and F. Langfeldt. 2012. “Sandgrain roughness model for rough walls within Eulerian–Lagrangian predictions of turbulent flows.” Int. J. Multiphase Flow. 43 (Jul): 157–175. https://doi.org/10.1016/j.ijmultiphaseflow.2012.03.002.
Colebrook, C. F. 1939. “Turbulent flow in pipes, with particular reference to the transition region between the smooth and rough pipe laws.” J. Inst. Civil Eng. 11 (4): 133–156. https://doi.org/10.1680/ijoti.1939.13150.
EA (European Co-operation for Accreditation). 1999. EA-4/02: Expression of the uncertainty of measurement in calibration. Paris: EA.
Farshad, F. F., and T. C. Pesacreta. 2003. “Coated pipe interior surface roughness as measured by three scanning probe instruments.” Anti-Corros. Methods Mater. 50 (1): 6–16. https://doi.org/10.1108/00035590310456243.
Guo, Y. X., K. L. Yang, X. L. Guo, J. Z. Li, and H. Fu. 2018. “Quick evaluation of the pipeline equivalent sand-grain roughness based on the surface roughness parameters.” [In Chinese.] J. Hydraul. Eng. 49 (2): 178–185. https://doi.org/10.13243/j.cnki.slxb.20170498.
Haaland, S. E. 1983. “Simple and explicit formulas for the friction factor in turbulent flow.” J. Fluids Eng. 105 (1): 89–90. https://doi.org/10.1115/1.3240948.
Langelandsvik, L. I., G. J. Kunkel, and A. J. Smits. 2008. “Flow in a commercial steel pipe.” J. Fluid Mech. 595 (Jan): 323–339. https://doi.org/10.1017/S0022112007009305.
Larock, B. E., R. W. Jeppson, and G. Z. Watters. 1999. Hydraulics of pipeline systems. Boca Raton, FL: CRC Press LLC.
Mikata, Y., and W. S. Walczak. 2015. “Exact analytical solutions of the Colebrook-White equation.” J. Hydraul. Eng. 142 (2): 04015050. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001074.
Moody, L. F. 1944. “Friction factors for pipe flow.” Trans. ASME 66: 671–684.
Nikuradse, J. 1950. Laws of flow in rough pipes. Washington, DC: National Advisory Committee for Aeronautics.
Orsi, E., and U. Sanfilippo. 2004. “Uncertainty in experimental evaluation of Chezy-Strickler-Manning and Colebrook-White roughness coefficients in circular pipes.” In Proc., Int. Conf. “IGHEM 2004”, Innovation on Hydraulic Efficiency Measurement. Zürich, Switzerland: International Group for Hydraulic Efficiency Measurement.
Rehbock, T. 1929. “Discussion of precise weir measurements: By E.W. Schoder and K.B. Turner.” Trans. ASCE 93: 1143–1162.
Rushd, S., A. Islam, and R. S. Sanders. 2018. “CFD methodology to determine the hydrodynamic roughness of a surface with application to viscous oil coatings.” J. Hydraul. Eng. 144 (2): 04017067. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001369.
Shockling, M. A., J. J. Allen, and A. J. Smits. 2006. “Roughness effects in turbulent pipe flow.” J. Fluid Mech. 564 (Oct): 267–285. https://doi.org/10.1017/S0022112006001467.
Sletfjerding, E., and J. S. Gudmundsson. 2003. “Friction factor directly from roughness measurements.” J. Energy Res. Technol. 125 (2): 126–130. https://doi.org/10.1115/1.1576264.
Stanić, N., F. H. L. R. Clemens, and J. G. Langeveld. 2017. “Estimation of hydraulic roughness of concrete sewer pipes by laser scanning.” J. Hydraul. Eng. 143 (2): 04016079. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001223.
Taylor, J. R. 1997. An introduction to error analysis: The study of uncertainties in physical measurements. 2nd ed. Mill Valley, CA: University Science Books.
Travis, Q. B., and L. W. Mays. 2007. “Relationship between Hazen-Williams and Colebrook-White roughness values.” J. Hydraul. Eng. 133 (11): 1270–1273. https://doi.org/10.1061/(ASCE)0733-9429(2007)133:11(1270).
Vatankhah, A. R. 2018. “Approximate analytical solutions for the Colebrook equation.” J. Hydraul. Eng. 144 (5): 06018007. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001454.
Yang, B. H., and D. D. Joseph. 2009. “Virtual Nikuradse.” J. Turbul. 10 (11): 1–24. https://doi.org/10.1080/14685240902806491.
Yang, K. L., Y. X. Guo, H. Fu, and X. L. Guo. 2012. “Calibration and uncertainty for pipe roughness height.” [In Chinese.] J. Hydraul. Eng. 43 (12): 1397–1404.
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©2019 American Society of Civil Engineers.
History
Received: Oct 12, 2018
Accepted: Jun 27, 2019
Published online: Nov 27, 2019
Published in print: Feb 1, 2020
Discussion open until: Apr 27, 2020
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