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Hydraulic
Friction loss
ο‚— Hazen-Williams Equation
Q=Flow rate (gpm)
D=Pipe diameter (in)
L= Pivot length (ft)
hf =Friction loss (ft)
β„Žπ‘“ = 10.47𝐿
𝑄
𝐢
1.852
π·βˆ’4.87
C factor
Pipe Material C
Plastic (4-in diameter or larger) 150
Plastic (2- to 3-in diameter) 140
Aluminum (with couplers every 30 ft) 130
Galvanized steel 130
Epoxy-coated steel 145-150
Polyethylene lined steel 135-145
Steel (new) 130
Steel (15 years old) 100
Butyl rubber drop tubes 150
Rigid drop tubes 145
Multiple outlet factor
ο‚— Christiansen's equation for computing
the reduction coefficient (F) for pipes
with multiple, equally spaced outlets
where the first outlet is Sl from the
mainline is:
F = Reduction factor
N= number of sprinklers
M= exponent depends on which friction equation is
Caveats
ο‚— For pipes that have no flow past the last
outlet (sprinkler)
ο‚— Cannot be directly applied to the estimation
of friction losses only partway down the
lateral pipe.
ο‚— Assumes that each outlet has a constant
discharge,
ο‚— Equations are for use with laterals having
nearly constant discharge per outlet, such as
for hand lines, wheel-lines, solid set (fixed),
and linear-move systems.
ο‚— The value of F approaches 0.36 when N >
35, which is often the case with sprinkler
laterals.
Applying Irrigation Water in Circles (vs. squares)
Why it’s a little trickier?
In a rectangular system each
sprinkler applies water to an
Identically sized Area (A)
In a circular system the area
increases as the radius increases
Hence, each sprinkler applies
water to a differently sized Area (A)
1 4
3
2
A1 = A2 = A3 = A4 A1 < A2 < A3 < A4
1 2 4
3
Center pivot reduction factor
ο‚— Outlet discharge varies with distance from the center
pivot
ο‚— Flow rate in the pipe decreases more slowly at the
upstream end
ο‚— Average velocity along the length of the lateral is
higher.
ο‚— F value is higher on a center-pivot lateral than on
laterals for other types of sprinkler systems
ο‚— For center pivot F = 0.555 (> than 35 sprinklers)
Friction loss
ο‚— Hazen-Williams Equation
Q=Flow rate (gpm)
D=Pipe diameter (in)
L= Pivot length (ft)
F = Friction Reduction factor
hf =Friction loss (ft)
β„Žπ‘“ = 10.47𝐹𝐿
𝑄
𝐢
1.852
π·βˆ’4.87
Hydraulic length
ο‚— No flow past the last outlet
β—¦ End gun?
Lh = Hydraulic length (ft)
L = Base pivot length (ft)
Qb = base pivot flow rate (gpm)
Qg = end gun flow rate (gpm)
πΏβ„Ž = 𝐿
𝑄𝑏 + 𝑄𝑔
𝑄𝑏
Friction loss
ο‚— Hazen-Williams Equation
Q=Flow rate (gpm)
D=Pipe diameter (in)
Lh= Pivot length (ft)
F = Friction Reduction factor
hf =Friction loss (ft)
β„Žπ‘“ = 10.47πΉπΏβ„Ž
𝑄
𝐢
1.852
π·βˆ’4.87
Β© Irrigation Association
1,000 gpm total – 125 gpm end gun – sprinklers at 20’
8” (approx) pipe
Hand out – problem set
Energy Balance
ο‚— Bernoulli Equation
𝑃1 + 0.433 𝑍1 +
𝑉1
2
2𝑔
=𝑃2 + 0.433 𝑍2 +
𝑉2
2
2𝑔
+ 0.433β„Žπ‘“1βˆ’2
At the pivot point
𝑃𝑝 = 𝑃𝑛 + 0.433 β„Žπ‘“ + π‘π‘›π‘œπ‘§π‘§π‘™π‘’ + βˆ†π‘π‘
Hydraulics friction loss c factorf  .ppt

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Hydraulics friction loss c factorf .ppt

  • 2. Friction loss ο‚— Hazen-Williams Equation Q=Flow rate (gpm) D=Pipe diameter (in) L= Pivot length (ft) hf =Friction loss (ft) β„Žπ‘“ = 10.47𝐿 𝑄 𝐢 1.852 π·βˆ’4.87
  • 3. C factor Pipe Material C Plastic (4-in diameter or larger) 150 Plastic (2- to 3-in diameter) 140 Aluminum (with couplers every 30 ft) 130 Galvanized steel 130 Epoxy-coated steel 145-150 Polyethylene lined steel 135-145 Steel (new) 130 Steel (15 years old) 100 Butyl rubber drop tubes 150 Rigid drop tubes 145
  • 4.
  • 5. Multiple outlet factor ο‚— Christiansen's equation for computing the reduction coefficient (F) for pipes with multiple, equally spaced outlets where the first outlet is Sl from the mainline is: F = Reduction factor N= number of sprinklers M= exponent depends on which friction equation is
  • 6. Caveats ο‚— For pipes that have no flow past the last outlet (sprinkler) ο‚— Cannot be directly applied to the estimation of friction losses only partway down the lateral pipe. ο‚— Assumes that each outlet has a constant discharge, ο‚— Equations are for use with laterals having nearly constant discharge per outlet, such as for hand lines, wheel-lines, solid set (fixed), and linear-move systems. ο‚— The value of F approaches 0.36 when N > 35, which is often the case with sprinkler laterals.
  • 7. Applying Irrigation Water in Circles (vs. squares) Why it’s a little trickier? In a rectangular system each sprinkler applies water to an Identically sized Area (A) In a circular system the area increases as the radius increases Hence, each sprinkler applies water to a differently sized Area (A) 1 4 3 2 A1 = A2 = A3 = A4 A1 < A2 < A3 < A4 1 2 4 3
  • 8. Center pivot reduction factor ο‚— Outlet discharge varies with distance from the center pivot ο‚— Flow rate in the pipe decreases more slowly at the upstream end ο‚— Average velocity along the length of the lateral is higher. ο‚— F value is higher on a center-pivot lateral than on laterals for other types of sprinkler systems ο‚— For center pivot F = 0.555 (> than 35 sprinklers)
  • 9. Friction loss ο‚— Hazen-Williams Equation Q=Flow rate (gpm) D=Pipe diameter (in) L= Pivot length (ft) F = Friction Reduction factor hf =Friction loss (ft) β„Žπ‘“ = 10.47𝐹𝐿 𝑄 𝐢 1.852 π·βˆ’4.87
  • 10. Hydraulic length ο‚— No flow past the last outlet β—¦ End gun? Lh = Hydraulic length (ft) L = Base pivot length (ft) Qb = base pivot flow rate (gpm) Qg = end gun flow rate (gpm) πΏβ„Ž = 𝐿 𝑄𝑏 + 𝑄𝑔 𝑄𝑏
  • 11. Friction loss ο‚— Hazen-Williams Equation Q=Flow rate (gpm) D=Pipe diameter (in) Lh= Pivot length (ft) F = Friction Reduction factor hf =Friction loss (ft) β„Žπ‘“ = 10.47πΉπΏβ„Ž 𝑄 𝐢 1.852 π·βˆ’4.87
  • 12. Β© Irrigation Association 1,000 gpm total – 125 gpm end gun – sprinklers at 20’ 8” (approx) pipe
  • 13. Hand out – problem set
  • 14. Energy Balance ο‚— Bernoulli Equation 𝑃1 + 0.433 𝑍1 + 𝑉1 2 2𝑔 =𝑃2 + 0.433 𝑍2 + 𝑉2 2 2𝑔 + 0.433β„Žπ‘“1βˆ’2
  • 15. At the pivot point 𝑃𝑝 = 𝑃𝑛 + 0.433 β„Žπ‘“ + π‘π‘›π‘œπ‘§π‘§π‘™π‘’ + βˆ†π‘π‘