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In engineering, the Moody chart or Moody diagram (also Stanton diagram) is a graph in non-dimensional form that relates the Darcy–Weisbach friction factor f D, Reynolds number Re, and surface roughness for fully developed flow in a circular pipe. It can be used to predict pressure drop or flow rate down such a pipe.
In this article, the following conventions and definitions are to be understood: The Reynolds number Re is taken to be Re = V D / ν, where V is the mean velocity of fluid flow, D is the pipe diameter, and where ν is the kinematic viscosity μ / ρ, with μ the fluid's Dynamic viscosity, and ρ the fluid's density.
Most charts or tables indicate the type of friction factor, or at least provide the formula for the friction factor with laminar flow. If the formula for laminar flow is f = 16 / Re , it is the Fanning factor f , and if the formula for laminar flow is f D = 64 / Re , it is the Darcy–Weisbach factor f D .
Lewis Ferry Moody (5 January 1880 – 18 April 1953 [1]) was an American engineer and professor, best known for the Moody chart, a diagram capturing relationships between several variables used in calculating fluid flow through a pipe.
Fanning friction factor for tube flow. This friction factor is one-fourth of the Darcy friction factor, so attention must be paid to note which one of these is meant in the "friction factor" chart or equation consulted. Of the two, the Fanning friction factor is the more commonly used by chemical engineers and those following the British ...
Dimensionless numbers (or characteristic numbers) have an important role in analyzing the behavior of fluids and their flow as well as in other transport phenomena. [1] They include the Reynolds and the Mach numbers, which describe as ratios the relative magnitude of fluid and physical system characteristics, such as density, viscosity, speed of sound, and flow speed.
English: The Darcy friction factor versus Reynolds Number for 10 < Re < 10E8 for smooth pipe and a range of values of relative roughness ε/D. Data are from Nikuradse (1932, 1933), Colebrook (1939), and McKeon (2004).
= Fanning friction factor ∑ i e v , i {\displaystyle \sum _{i}e_{v,i}} = Sum of all kinetic energy factors in system Once calculated, the total head loss can be used to solve the Bernoulli Equation and find unknown values of the system.