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Review Article

On the History, Science, and Technology Included in the Moody Diagram

[+] Author and Article Information
Marc LaViolette

Associate Professor
Department of Mechanical and
Aerospace Engineering,
Royal Military College of Canada,
Kingston, ON K7M 4T7, Canada
e-mail: laviolette-m@rmc.ca

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received June 3, 2016; final manuscript received October 10, 2016; published online January 20, 2017. Assoc. Editor: Francine Battaglia.

J. Fluids Eng 139(3), 030801 (Jan 20, 2017) (21 pages) Paper No: FE-16-1343; doi: 10.1115/1.4035116 History: Received June 03, 2016; Revised October 10, 2016

This paper is a historical review of the science, both experimental and theoretical, behind the iconic Moody diagram used to avoid tedious iterations choosing pumps and pipes. The large body of historical pipe flow measurements and the choice of dimensionless groups and the Buckingham-Π theorem are also discussed. The traditional use of the Moody diagram to solve common pipe flow problem is discussed. Alternatives to the Moody diagram from the literature and novel ones presented here are shown to produce a solution without iteration for any type of pipe loss problem.

Copyright © 2017 by ASME
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References

Figures

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Fig. 1

Smooth pipe data from McKeon et al. [14]

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Fig. 2

Prony's data used for his empirical formulation: ∘ Prony [18] and McKeon et al. [14]

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Fig. 3

Poiseuille's data used for his empirical formulation: ∘ Poiseuille [22], McKeon et al. [14]: (a) uncorrected and (b) corrected

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Fig. 4

Hagen's data corrected for head change from rest: ∘ Hagen [25,28] and McKeon et al. [14]

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Fig. 5

Darcy's data: ∘ Darcy [31] and McKeon et al. [14]

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Fig. 6

Reynolds' data: ∘ Reynolds [24] and McKeon et al. [14]

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Fig. 7

Freeman's data: ∘ Freeman [37] and McKeon et al. [14]

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Fig. 8

Saph and Schoder's data: ∘ Saph and Schoder [38] and McKeon et al. [14]

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Fig. 9

Blasius' data: ∘ Blasius [44] and McKeon et al. [14]

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Fig. 10

Stanton and Pannel's data: ∘ Stanton and Pannell [34] and McKeon et al. [14]

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Fig. 11

Scobey's collected data: ∘ Scobey [48] and McKeon et al. [14]

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Fig. 12

Nikuradse's tabulated smooth pipe data: ∘ Nikuradse [52,53] and McKeon et al. [14]

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Fig. 13

Nikuradse's tabulated rough pipe data: ∘ Nikuradse [54,55] and McKeon et al. [14]

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Fig. 14

All hydraulically smooth data: McKeon [14], Poiseuille [22], Hagen [25], Saph and Schoder [38], Blasius [44], Stanton [34], Nikuradse [52,53]: (a) unreduced data, (b) Poiseuille diagram, (c) Reynolds diagram, and (d) Moody diagram

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Fig. 15

All data: McKeon [14], Prony [18], Poiseuille [22], Hagen [25, 28], Darcy [31], Reynolds [24], Freeman [37], Saph and Schoder [38], Blasius [44], Stanton [34], Scobey [48], Nikuradse [5255]: (a) unreduced data, (b) Poiseuille diagram, (c) Reynolds diagram, and (d) Moody diagram

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Fig. 17

Improved Moody diagram

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Fig. 19

Poiseuille diagram

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Fig. 20

Diagram to calculate D without iteration

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