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Hazen-Williams equation - Wikipedia, the free encyclopedia

Hazen-Williams equation

From Wikipedia, the free encyclopedia

The Hazen-Williams formula can be used to calculate the pressure loss in a length of pipe due to friction dependent on the flow. This equation is commonly used for pressure drop calculations in American fire sprinkler systems, water distribution systems, and irrigation systems.

P_d=\frac{4.52\quad Q^{1.85}}{C^{1.85}\quad d^{4.87}}

where:

Pd = pressure drop in pounds per square inch / foot

Q = gallons per minute

C = factor (friction loss coefficient) - the higher the C factor, the smoother the pipe. Typical C factors used in design, which take into account some increase in roughness as pipe ages are as follows:

Asbestos-cement - 140
Cast iron - 100
Concrete - 100
Copper - 150
Steel - 120
Galvanized steel - 120
Polyethylene - 140
Polyvinyl chloride (PVC) - 150
Fibre-reinforced plastic (FRP) - 150

d = actual inside pipe diameter in inches

An alternate form of the Hazen Williams Equation is:

V=1.318\quad C\quad R_h^{0.63}\quad S^{0.54}

where:

V = Velocity (in feet per second)

C = as above

Rh = Hydraulic Radius (in feet)

S = Energy Gradient or Friction Slope (hf/L)

[edit] See also

[edit] References

  • Turf Irrigation Manual, 5th Ed., by James A. Watkins, published by Telsco, 1987.
  • Fluid Mechanics, 10th Ed., by E. John Finnemore and Joseph B Franzini, published by McGraw Hill, 2002.

[edit] External links

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