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Hazen–Williams Equation

The Hazen–Williams equation is an empirical relationship that relates the flow of water in a pipe with the physical properties of the pipe and the pressure drop caused by friction.

The flow velocity of fluid is proportional to the product of the Hazen-Williams coefficient of roughness, 0.63 power of hydraulic radius and the 0.54 power of the hydraulic grade line slope.


QuantityVariable["v", "Speed"] == Quantity[0.849, "Meters"^0.37/"Seconds"]*QuantityVariable["C", "Unitless"]*QuantityVariable["R", "Radius"]^0.63*QuantityVariable["S", "Unitless"]^0.54

symbol description physical quantity
v flow velocity of fluid "Speed"
C Hazen–Williams coefficient of roughness "Unitless"
R hydraulic radius "Radius"
S hydraulic grade line slope "Unitless"



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