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JACIII Vol.20 No.1 pp. 76-83
doi: 10.20965/jaciii.2016.p0076
(2016)

Paper:

Pipe Sizing of District Cooling Distribution Network Using Implicit Colebrook-White Equation

Gerardo L. Augusto*,**, Alvin B. Culaba*, and Renan Ma T. Tanhueco*

*Gokongwei College of Engineering, De La Salle University
2401 Taft Avenue, Manila, Philippines

**FLUIDNOVATION Research, Co.
Quezon City, Philippines

Received:
April 10, 2015
Accepted:
July 12, 2015
Online released:
January 19, 2016
Published:
January 20, 2016
Keywords:
distribution network, pipe sizing, colebrook-white equation, newton-raphson method, friction factor
Abstract

An implicit solution of Colebrook-White equation was used in calculating the friction factor for commercial steel pipes using Newton-Raphson method with Reynolds number ranging from 4.0 × 103 to 1.3 × 107. Initial value for iterative friction factor estimation was based on expanded form of Colebrook-White equation for larger values of Reynolds number with tolerance value of 1.0 × 10-8. Numerical results were compared with known explicit solutions and iterative procedure proposed by Lester in which, their mean difference, root-mean square deviation, mean relative error and correlation coefficient were evaluated. Correlation coefficients equal to unity and overall mean relative error of 4.821 × 10-8 were achieved for all fifteen (15) pipe cases with nominal diameters ranging from 100 mm to 1,500 mm when compared with iterative solution suggested by Lester. Student’s t-test for paired data was also used which yielded a calculated t-value of -5.406 × 10-4. Combining the piping network design criteria with the logical structure of friction factor calculation determines the pipe size of distribution network and defines the boundaries of chilled-water velocities at different pressure drop limits as a function of commercial steel pipe diameter according to ANSI B36.1.

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Last updated on Dec. 12, 2017