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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

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.

Gerardo L. Augusto, Alvin B. Culaba, and Renan Ma T. Tanhueco, “Pipe Sizing of District Cooling Distribution Network Using Implicit Colebrook-White Equation,” J. Adv. Comput. Intell. Intell. Inform., Vol.20, No.1, pp. 76-83, 2016.
Data files:
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