Erratum: “Friction factor directly from transitional roughness in a turbulent pipe flow” [ASME Trans. J. Fluid Eng., 2007, 129, pp. 1255–1267]

Afzal, Noor

doi:10.1115/1.4004961

Erratum: “Friction factor directly from transitional roughness in a turbulent pipe flow” []

Noor Afzal

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J. Fluids Eng. Oct 2011, 133(10): 107001 (1 pages)

https://doi.org/10.1115/1.4004961

Published Online: October 5, 2011

Introduction

1
Page: 1258: In friction factor relations 34, 35, 36, and 37, replace $δ$ by $D$ in first location, to read as
$\frac{1}{\sqrt{λ}} = - 2 \log_{10} [\frac{2.51}{Re \sqrt{λ}} + \frac{h}{3.7 D} \exp (- j \frac{5.66}{Re \sqrt{λ}} \frac{δ}{h})]$
34
$\frac{1}{\sqrt{λ}} = - 1.93 \log_{10} [\frac{1.90}{Re \sqrt{λ}} + \frac{h}{3.7 D} \exp (- j \frac{5.66}{Re \sqrt{λ}} \frac{δ}{h})]$
35
$\frac{1}{\sqrt{λ}} = - 2 \log_{10} [\frac{5.74}{{Re}^{0.9}} + \frac{h}{3.7 D} \exp (- j \frac{12.91}{{Re}^{0.9}} \frac{δ}{h})]$
36
$\frac{1}{\sqrt{λ}} = - 1.932 \log_{10} [\frac{4.22}{{Re}^{0.9}} + \frac{h}{3.7 D} \exp (- j \frac{9.50}{{Re}^{0.9}} \frac{δ}{h})]$
37
2
Page 1259: In Table 1, replace $δ$ by $D$ in the second column, and its corresponding term in the third column. Also in the third column of Eqs. (3a) and (3b), the numerical values $0.754$ and $1.724$ are replaced by $0.88$ and $2.02$ ⁠, respectively. The corrected Table 1 is given below.

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by American Society of Mechanical Engineers

Scale

Friction factor for fully rough pipes

Friction factor for transitional rough pipes implicit and approximate explicit expressions;

(j = 11)

Eq.

R_{q}

\frac{1}{\sqrt{λ}} = - 2 \log_{10} (\frac{R_{q}}{0.7 D})

\frac{1}{\sqrt{λ}} = - 2 \log_{10} [\frac{2.51}{Re \sqrt{λ}} + \frac{R_{q}}{0.7 D} \exp (- j \frac{1.062}{Re \sqrt{λ}} \frac{δ}{R_{q}})]

(1a)

h_{s} = 5.333 R_{q}

\frac{1}{\sqrt{λ}} = - 2 \log_{10} [\frac{5.74}{{Re}^{0.9}} + \frac{R_{q}}{0.7 D} \exp (- j \frac{2.58}{{Re}^{0.9}} \frac{δ}{R_{q}})]

(1b)

R_{Z}

\frac{1}{\sqrt{λ}} = - 2 \log_{10} (\frac{R_{Z}}{3 D})

\frac{1}{\sqrt{λ}} = - 2 \log_{10} [\frac{2.51}{Re \sqrt{λ}} + \frac{R_{Z}}{3 D} \exp (- j \frac{4.55}{Re \sqrt{λ}} \frac{δ}{R_{Z}})]

(2a)

h_{s} = 1.244 R_{Z}

\frac{1}{\sqrt{λ}} = - 2 \log_{10} [\frac{5.74}{{Re}^{0.9}} + \frac{R_{Z}}{3 D} \exp (- j \frac{10.41}{{Re}^{0.9}} \frac{δ}{R_{Z}})]

(2b)

R_{a}

\frac{1}{\sqrt{λ}} = - 2 \log_{10} (\frac{R_{a}}{0.57 D})

\frac{1}{\sqrt{λ}} = - 2 \log_{10} [\frac{2.51}{Re \sqrt{λ}} + \frac{R_{a}}{0.57 D} \exp (- j \frac{0.88}{Re \sqrt{λ}} \frac{δ}{R_{a}})]

(3a)

h_{s} = 6.45 R_{a}

\frac{1}{\sqrt{λ}} = - 2 \log_{10} [\frac{5.74}{{Re}^{0.9}} + \frac{R_{a}}{0.57 D} \exp (- j \frac{2.02}{{Re}^{0.9}} \frac{δ}{R_{a}})]

(3b)

R_{q} / H

\frac{1}{\sqrt{λ}} = - 2 \log_{10} (\frac{R_{q} / H}{0.5 D})

\frac{1}{\sqrt{λ}} = - 2 \log_{10} [\frac{2.51}{Re \sqrt{λ}} + \frac{R_{q} / H}{0.5 D} \exp (- j \frac{0.754}{Re \sqrt{λ}} \frac{δ}{R_{q} / H})]

(4a)

h_{s} = 7.71 R_{q} / H

\frac{1}{\sqrt{λ}} = - 2 \log_{10} [\frac{5.74}{{Re}^{0.9}} + \frac{R_{q} / H}{0.5 D} \exp (- j \frac{1.724}{{Re}^{0.9}} \frac{δ}{R_{q} / H})]

(4b)

h

\frac{1}{\sqrt{λ}} = - 2 \log_{10} (\frac{h}{3.7 D})

\frac{1}{\sqrt{λ}} = - 2 \log_{10} [\frac{2.51}{Re \sqrt{λ}} + \frac{h}{3.7 D} \exp (- j \frac{5.66}{Re \sqrt{λ}} \frac{δ}{h})]

(5a)

\frac{1}{\sqrt{λ}} = - 2 \log_{10} [\frac{5.74}{{Re}^{0.9}} + \frac{h}{3.7 D} \exp (- j \frac{12.91}{{Re}^{0.9}} \frac{δ}{h})]

(5b)

h

\frac{1}{\sqrt{λ}} = - 1.93 \log_{10} (\frac{h}{3.7 D})

\frac{1}{\sqrt{λ}} = - 1.93 \log_{10} [\frac{2.51}{Re \sqrt{λ}} + \frac{h}{3.7 D} \exp (- j \frac{5.66}{Re \sqrt{λ}} \frac{δ}{h})]

(6a)

\frac{1}{\sqrt{λ}} = - 1.93 \log_{10} [\frac{4.22}{{Re}^{0.9}} + \frac{h}{3.7 D} \exp (- j \frac{9.50}{{Re}^{0.9}} \frac{δ}{h})]

(6b)

Erratum: “Friction factor directly from transitional roughness in a turbulent pipe flow” [ASME Trans. J. Fluid Eng., 2007, 129, pp. 1255–1267]

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Erratum: “Friction factor directly from transitional roughness in a turbulent pipe flow” [ASME Trans. J. Fluid Eng., 2007, 129, pp. 1255–1267]

Introduction

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