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

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 × 10^{3} to 1.3 × 10^{7}. 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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