Pipe pressure drop calculator

Friction loss rises steeply with flow and falls even more steeply with bore. Going up one pipe size can cut the loss by two thirds.

L/min
%
Total head required
7.168m
≈ Rounded Pipe pressure drop
Pressure
0.7029 bar
Pressure in psi
10.195
Friction head loss
4.168
Loss in the straight run
3.087
Loss per metre
0.102 90 m/m
Flow velocity
1.315 m/s
Pressure drop
70.29 kPa
Show the working
  1. Flow rate = 30
  2. Inside diameter = 22
  3. Pipe length = 30
  4. Hazen-Williams C = 140
  5. Allowance for fittings = 35
  6. Rise in elevation = 3
  7. flow_m3s = 30 / 60000 = 0.0005
  8. d_m = 22 / 1000 = 0.022
  9. Loss per metre = 10.67 * 0.0005^1.852 / (140^1.852 * 0.022^4.87) = 0.102 903
  10. Loss in the straight run = 0.102 903 * 30 = 3.0871
  11. Friction head loss = 3.0871 * (1 + 35/100) = 4.167 58
  12. Total head required = 4.167 58 + 3 = 7.167 58
  13. Pressure drop = 7.167 58 * 1000 * g0 / 1000 = 70.29
  14. Pressure = 70.29 / 100 = 0.7029
  15. Pressure in psi = 70.29 / 6.89475729316836 = 10.1947
  16. Flow velocity = pi * 0.022^2 / 4 > 0 ? 0.0005 / (pi * 0.022^2 / 4) : 0 = 1.315 33

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • Hazen-Williams: head loss per metre = 10.67 Q^1.852 / (C^1.852 d^4.87)
    • total head = friction + static lift

    The exponent on diameter is -4.87, so a 10% larger bore cuts the loss by 38%.

    Hazen-Williams applies to water at ordinary temperatures. Use Darcy-Weisbach for anything else.

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