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minor losses in the pipelines, fittings, valves… for water

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sudden constriction

formula: Minor losses in the pipelines, fittings, valves for water - Sudden constriction

Special case: pipe emerging from a large tank

formula: Minor losses in the pipelines, fittings, valves for water - Pipe emerging from a large tank
formula: Minor losses in the pipelines, fittings, valves for water - With pipe projecting inside the tank
formula: Minor losses in the pipelines, fittings, valves for water- With rounded entrance fitting
formula: Minor losses in the pipelines, fittings, valves for water - With oblique cylindrical fitting
oblique cylindrical fitting
Table 56. With oblique cylindrical fitting
formula: Minor losses in the pipelines, fittings, valves for water - With fully open short tube delivery

sudden enlargement

formula: Minor losses in the pipelines, fittings, valves for water - Sudden enlargement

Special case: pipe entering into a large tank

formula: Minor losses in the pipelines, fittings, valves for wat - Pipe entering into a large tank

inlet taper

formula: Minor losses in the pipelines, fittings, valves for wat - Converging duct

friction loss (∆h1)

Evaluate pressure drop ∆h1', in a cylindrical pipe of the same length and having a section equal to the large section :

formula: Minor losses in the pipelines, fittings, valves for wat - Friction loss

head loss by detachment (∆h2)

formula: Minor losses in the pipelines, fittings, valves for wat - Head loss by detachment

Values for K (table 57) :

Values K
Table 57. Values for K

outlet taper

lorenz formula

Diverging duct - Lorenz formula

bends

rounded bends

formula: Rounded bends
Bends
Table 58. Bends

Elbow delivering into a closed tank (K total)

Bend delivering into a closed tank (K total)
Bendclosed tank K total
Table 59. Bend delivering into a closed tank (K total)

sharp bends :

formula: Sharp bends
Sharp bends
Table 60. Sharp bends

T components

It is assumed as follows :

  • branch pipes have the same diameter as the main pipe;
  • couplings have sharp angles.

outgoing branch pipe

formula: T components - Outgoing connection
connection
Table 61. Outgoing connection

inlet branch pipe

formula: T components  - inlet branch pipe
Inlet branch pipe
Table 62. Inlet branch pipe

symmetrical T, flow separation: (welded steel T)

formula: T components - Symmetrical T, flow separation

symmetrical T, converging flows

formula: T components- Symmetrical T, converging flows

valves and taps

formula: Valves and taps

rotating or butterfly valves

formula: Rotating or butterfly valves

The head loss coefficient according on the valve opening angle depends on the hydraulic profile of the butterfly: for guidance, table 63 provides a few typical values; however, it is advisable to refer to manufacturer tables for greater clarification.

Rotating - butterfly valves
Table 63. Rotating or butterfly valves

gate valve

Gate valves
Gate valves
Table 64. Gate valves

plug valve

Plug valve
Plug valve
Table 65. Plug valve

flap valves

Flap valves
Flap valves
Table 66. Flap valves

open valves and couplings

formula: Open valves and fittings
Open valves - fittings
Table 67. Open valves and fittings

valve coefficient Cv

The normal practice consists in allocating a flow coefficient Cv to the different openings. By definition, Cv is the water flow at 15°C expressed in US gpm that travels through the constricted section for a 1 psi head loss, which is more or less equivalent to the water flow expressed in litres per minute, creating a head loss of 5 mbar or 0.05 m of WC .

Therefore, for water, we have :

formula:  Valve coefficient Cv- for water
formula: Valve coefficient Cv - decimal units