Sum of minor head losses

Select calculation method

Input data

Fittings

Fitting
k
Quantity
Sharp-edged inlet
0.5
Reentrant inlet
1
Well-rounded inlet
0.05
Conic inlet
0.15
Strainer
0.75
Foot valve
1.75
22.5° curve
0.1
45° curve
0.2
90° curve
0.4
45° elbow
0.4
90° elbow
0.9
Tee, straight-through flow
0.6
Tee, side outlet
1.3
Tee, bilateral outlet
1.8
Junction
0.4
Small branch
0.03
Gradual expansion
0.3
Gradual reduction
0.15
Open gate valve
0.2
Open globe valve
10
Open angle valve
5
Check valve
2.5
Open sluice gate
1
Flow controller
2.5
Venturi meter
2.5
Nozzle
2.75
Pipe exit
1

Additional k (other fittings)

Diameter

Output data

Σk applicable to hf = Σk·U²/2g

kQ applicable to hf = kQ·Q²

Description

Adds up the minor head losses of the fittings along a pipe of one diameter. Enter how many of each fitting the line has; fittings not in the list can be added as an additional k.

Coefficient

Given the diameter, calculates the sum of the loss coefficients, and the coefficients for the expressions:

hf=kU22ghf=kQQ2h_f = \sum k \cdot \frac{U^2}{2g} \qquad h_f = k_Q \cdot Q^2

Given the flow

Given the flow and the diameter, also calculates the velocity and the head loss.

Notes

The k values are approximate, typical values (Azevedo Netto). For gradual expansions and reductions, k refers to the velocity in the smaller section. Where a fitting's k depends on its geometry, its opening or the flow split, its own block gives a more precise value, which can be entered as an additional k.

References

  • AZEVEDO NETTO, J. M. DE. Manual de hidráulica. 9. Ed. São Paulo, Blucher, 2015.