Darcy's Equation
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Posted by: ABANG1967 ®

10/28/2005, 17:45:53

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Please I will be glad if some one can brief me about the validity of using "Darcy's Equation "to calculate head loss in a water pipping System.thanks .






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Re: Darcy's Equation
Re: Darcy's Equation -- ABANG1967 Post Reply Top of thread Forum
Posted by: mbeychok ®

11/01/2005, 17:42:38

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ABANG1967:

The Darcy-Weisbach Equation used in conjuction with the Moody Diagram (for obtaining Fanning friction factors) is considered by many people to be the most reliable method for calculating either frictional pressure loss or frictional head loss for the flow of incompressible fluids in pipes.

The Darcy-Weisbach Equation for pressure loss due to friction (in the SI metric system) is:

ΔP = 4f(L/D)(ρ v2)/(2 gc)

where:
ΔP = pressure loss in Pascals
f = Fanning friction factor (dimensionless) from Moody's diagram
L = pipe length in meters
D = pipe diameter in meters
ρ = fluid density in kilograms per cubic meter
v = fluid velocity in meters per second
gc = gravitational conversion constant = 1 (kg-m)/(N-s2) in the SI metric system

And for head loss due to friction, the equation is:

Δh = f(L/D)(v2)/(2 g)

where:
Δh = head loss in meters
f = friction factor (dimensionless)
L = pipe length in meters
D = pipe diameter in meters
v = fluid velocity in meters per second
g = local gravitational acceleration of 9.807 m/s2

Make sure that you are using the Fanning friction factors and not the Darcy friction factors (which are 4 time as large as the Fanning factors).

Milton Beychok
(Visit me at www.air-dispersion.com)






Modified by mbeychok at Wed, Nov 02, 2005, 18:49:06

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