Error Analysis of Non-Iterative Friction Factor Formulas Relative to Colebrook-White Equation for The Calculation of Pressure Drop in Pipes

Error Analysis of Non-Iterative Friction Factor Formulas Relative to Colebrook-White Equation for The Calculation of Pressure Drop in Pipes

Pressure drop in pipes can be calculated by using Darcy-Weisbach formula. In order to use this formula, Darcy friction factor should be known. The best approximation to Darcy friction factor for turbulent flow is given by Colebrook-White equation. This equation can only be solved by numerical root finding methods. There are several other approximate equations to Darcy friction factor with some relative error compared to Colebrook-White equation. In some of these equations the percentage error is so small that they can be used directly in place of Colebrook equation. In this study relative error of several equations are re-evaluated. katsayısının hesaplanması gereklidir. Türbülanslı akışlarda Darcy sürtünme katsayısının hesaplanmasında en geçerli yöntem Colebrook-White denklemidir, ancak bu denklem sayısal kök bulma yöntemleri kullanılarak çözülebilen bir denklemdir. Colebrook-White denklemine yaklaşım yapan ve direk olarak çözülebilen çeşitli denklemler mevcuttur. Bu denklemlerin bazılarının Colebrook-White denklemiyle kıyaslandığında hata yüzdeleri çok küçük olduğundan, direk olarak bu denklemin yerine kulanılmaları mümkündür. Yazımızda çeşitli Darcy sürtünme faktörü denklemlerinin Colebrook – White denklemine gore göreceli hatası irdelenmiştir
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