Browse > Article

Numerical Solution of Colebrook-White Equation and It's Application  

Kim, Minhwan (호남대학교 토목환경공학과)
Song, Changsoo (호남대학교 토목환경공학과)
Publication Information
Journal of Korean Society of Water and Wastewater / v.19, no.5, 2005 , pp. 613-618 More about this Journal
Abstract
In analysis of pipelines or pipe network we calculated the friction loss using Hazen-Williams or Manning formula approximately, or found one by friction coefficient from Moody diagram graphically. The friction coefficient is determined as a function of relative roughness and Reynolds number. But the calculated friction coefficient by Hazen-Williams or Manning formula considered roughness of pipe or velocity of flow. The friction coefficient in Darcy-Weisbach equation was obtained from the Moody diagram. This method is manual and is not exact from reading. This paper is presented numerical solution of Colebrook-White formula including variables of relative roughness and Reynolds number. The suggested subroutine program by an efficient linear iteration scheme can be applied to any pipe network system.
Keywords
Colebrook-White formula; Darcy-Weisbach formula; friction coefficient;
Citations & Related Records
연도 인용수 순위
  • Reference
1 김민환 (2004) 수리학, pp.96-103 도서출판 새론, 서울
2 김철, 김태국, 신동신, 이승배 (2001) 공학도를 위한 수치해석. pp.147-153, McGraw-Hill, Korea
3 Gray D.D. (2000) A First Course in Fluid Mechanics for Civil Engineers. pp. 281-297, Water Resources Publications, LLC, Colorado (USA)
4 송재우 (2004) 수리학. pp. 179-180. 구미서관, 서울
5 Thomas M. W., Thomas E.B., Rocky S.D., Michael E.M. (2002) Computer Applications in Hydraulic Engineering. pp. 13-18, Haested Press, CT (USA)
6 현인환, 이상옥, 김영환, 전경호(2002) 등치관법이 배수관 망 해석에 미치는 영향 pp.615-621 상하수도학회지, 16(5)