minor losses in the pipelines, fittings, valves… for water
Reading time:sudden constriction
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: Minor losses in the pipelines, fittings, valves for water - Sudden constriction](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-retrecissement-brusque/80286-3-eng-GB/formula-Minor-losses-in-the-pipelines-fittings-valves-for-water-Sudden-constriction_articlewidth.png)
Special case: pipe emerging from a large tank
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: Minor losses in the pipelines, fittings, valves for water - Pipe emerging from a large tank](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-depart-d-une-conduite-a-partir-d-un-grand-reservoir/80296-5-eng-GB/formula-Minor-losses-in-the-pipelines-fittings-valves-for-water-Pipe-emerging-from-a-large-tank_articlewidth.png)
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: Minor losses in the pipelines, fittings, valves for water - With pipe projecting inside the tank](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-avec-saillie-a-l-interieur-du-reservoir/80306-4-eng-GB/formula-Minor-losses-in-the-pipelines-fittings-valves-for-water-With-pipe-projecting-inside-the-tank_articlewidth.png)
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: Minor losses in the pipelines, fittings, valves for water- With rounded entrance fitting](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-avec-raccord-a-bords-arrondis/80316-3-eng-GB/formula-Minor-losses-in-the-pipelines-fittings-valves-for-water-With-rounded-entrance-fitting_articlewidth.png)
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: Minor losses in the pipelines, fittings, valves for water - With oblique cylindrical fitting](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-avec-raccord-cylindrique-oblique/80326-3-eng-GB/formula-Minor-losses-in-the-pipelines-fittings-valves-for-water-With-oblique-cylindrical-fitting_articlewidth.png)
![Close](/bundles/degremontememento/images/close_modal.png)
![oblique cylindrical fitting](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/raccord-cylindrique-oblique/80337-3-eng-GB/oblique-cylindrical-fitting2_articlewidth.jpg)
![Secured image](/bundles/degremontememento/images/protected_image.png)
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: Minor losses in the pipelines, fittings, valves for water - With fully open short tube delivery](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-avec-ajutage-debitant-a-gueule-bee/80346-4-eng-GB/formula-Minor-losses-in-the-pipelines-fittings-valves-for-water-With-fully-open-short-tube-delivery_articlewidth.png)
sudden enlargement
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: Minor losses in the pipelines, fittings, valves for water - Sudden enlargement](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-elargissement-brusque/80356-3-eng-GB/formula-Minor-losses-in-the-pipelines-fittings-valves-for-water-Sudden-enlargement_articlewidth.png)
Special case: pipe entering into a large tank
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: Minor losses in the pipelines, fittings, valves for wat - Pipe entering into a large tank](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-arrivee-d-une-conduite-dans-un-grand-reservoir/80366-4-eng-GB/formula-Minor-losses-in-the-pipelines-fittings-valves-for-wat-Pipe-entering-into-a-large-tank_articlewidth.png)
inlet taper
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: Minor losses in the pipelines, fittings, valves for wat - Converging duct](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-cone-convergent/80376-3-eng-GB/formula-Minor-losses-in-the-pipelines-fittings-valves-for-wat-Converging-duct_articlewidth.png)
friction loss (∆h1)
Evaluate pressure drop ∆h1', in a cylindrical pipe of the same length and having a section equal to the large section :
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: Minor losses in the pipelines, fittings, valves for wat - Friction loss](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-perte-par-frottement/80386-3-eng-GB/formula-Minor-losses-in-the-pipelines-fittings-valves-for-wat-Friction-loss_articlewidth.png)
head loss by detachment (∆h2)
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: Minor losses in the pipelines, fittings, valves for wat - Head loss by detachment](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-perte-par-decollement/80396-3-eng-GB/formula-Minor-losses-in-the-pipelines-fittings-valves-for-wat-Head-loss-by-detachment_articlewidth.png)
Values for K (table 57) :
![Close](/bundles/degremontememento/images/close_modal.png)
![Values K](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/valeurs-k/80407-3-eng-GB/Values-K2_articlewidth.jpg)
![Secured image](/bundles/degremontememento/images/protected_image.png)
outlet taper
lorenz formula
![Close](/bundles/degremontememento/images/close_modal.png)
![Diverging duct - Lorenz formula](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/cone-divergent-formule-de-lorenz/80416-8-eng-GB/Diverging-duct-Lorenz-formula_articlewidth.png)
bends
rounded bends
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: Rounded bends](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-coudes-arrondis/80426-5-eng-GB/formula-Rounded-bends_articlewidth.png)
![Close](/bundles/degremontememento/images/close_modal.png)
![Bends](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/coudes/80437-3-eng-GB/Bends2_articlewidth.jpg)
![Secured image](/bundles/degremontememento/images/protected_image.png)
Elbow delivering into a closed tank (K total)
![Close](/bundles/degremontememento/images/close_modal.png)
![Bend delivering into a closed tank (K total)](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/coude-reservoir-plein-k-total/80447-3-eng-GB/Bend-delivering-into-a-closed-tank-K-total2_articlewidth.jpg)
![Secured image](/bundles/degremontememento/images/protected_image.png)
![Close](/bundles/degremontememento/images/close_modal.png)
![Bendclosed tank K total](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/coude-reservoir-plein-k-total2/80457-5-eng-GB/Bendclosed-tank-K-total3_articlewidth.jpg)
![Secured image](/bundles/degremontememento/images/protected_image.png)
sharp bends :
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: Sharp bends](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-coudes-brusques/80466-4-eng-GB/formula-Sharp-bends_articlewidth.png)
![Close](/bundles/degremontememento/images/close_modal.png)
![Sharp bends](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/coudes-brusques/80477-4-eng-GB/Sharp-bends3_articlewidth.jpg)
![Secured image](/bundles/degremontememento/images/protected_image.png)
T components
It is assumed as follows :
- branch pipes have the same diameter as the main pipe;
- couplings have sharp angles.
outgoing branch pipe
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: T components - Outgoing connection](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-pieces-en-t-branchement-de-depart/80486-5-eng-GB/formula-T-components-Outgoing-connection_articlewidth.png)
![Close](/bundles/degremontememento/images/close_modal.png)
![connection](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/branchement/80497-3-eng-GB/connection2_articlewidth.jpg)
![Secured image](/bundles/degremontememento/images/protected_image.png)
inlet branch pipe
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: T components - inlet branch pipe](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-pieces-en-t-branchement-d-amenee/80506-4-eng-GB/formula-T-components-inlet-branch-pipe_articlewidth.png)
![Close](/bundles/degremontememento/images/close_modal.png)
![Inlet branch pipe](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/branchement-amenee/80517-3-eng-GB/Inlet-branch-pipe2_articlewidth.jpg)
![Secured image](/bundles/degremontememento/images/protected_image.png)
symmetrical T, flow separation: (welded steel T)
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: T components - Symmetrical T, flow separation](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-pieces-en-t-t-symetrique-separation-des-courants/80526-5-eng-GB/formula-T-components-Symmetrical-T-flow-separation_articlewidth.png)
symmetrical T, converging flows
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: T components- Symmetrical T, converging flows](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-pieces-en-t-t-symetrique-reunion-des-courants/80536-4-eng-GB/formula-T-components-Symmetrical-T-converging-flows_articlewidth.png)
valves and taps
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: Valves and taps](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-vannes-et-robinets/80546-3-eng-GB/formula-Valves-and-taps_articlewidth.png)
rotating or butterfly valves
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: Rotating or butterfly valves](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-vannes-tournantes-ou-papillons/80556-3-eng-GB/formula-Rotating-or-butterfly-valves_articlewidth.png)
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.
![Close](/bundles/degremontememento/images/close_modal.png)
![Rotating - butterfly valves](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/vannes-tournantes-papillons/80567-3-eng-GB/Rotating-butterfly-valves2_articlewidth.jpg)
![Secured image](/bundles/degremontememento/images/protected_image.png)
gate valve
![Close](/bundles/degremontememento/images/close_modal.png)
![Gate valves](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/robinets-vannes/80577-3-eng-GB/Gate-valves2_articlewidth.jpg)
![Secured image](/bundles/degremontememento/images/protected_image.png)
![Close](/bundles/degremontememento/images/close_modal.png)
![Gate valves](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/robinets-vannes2/80587-5-eng-GB/Gate-valves3_articlewidth.jpg)
![Secured image](/bundles/degremontememento/images/protected_image.png)
plug valve
![Close](/bundles/degremontememento/images/close_modal.png)
![Plug valve](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/robinets-a-boisseau/80597-3-eng-GB/Plug-valve2_articlewidth.jpg)
![Secured image](/bundles/degremontememento/images/protected_image.png)
![Close](/bundles/degremontememento/images/close_modal.png)
![Plug valve](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/robinets-boisseau/80607-3-eng-GB/Plug-valve2_articlewidth.jpg)
![Secured image](/bundles/degremontememento/images/protected_image.png)
flap valves
![Close](/bundles/degremontememento/images/close_modal.png)
![Flap valves](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/clapets-a-battant/80617-3-eng-GB/Flap-valves2_articlewidth.jpg)
![Secured image](/bundles/degremontememento/images/protected_image.png)
![Close](/bundles/degremontememento/images/close_modal.png)
![Flap valves](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/clapets-battant/80627-3-eng-GB/Flap-valves2_articlewidth.jpg)
![Secured image](/bundles/degremontememento/images/protected_image.png)
open valves and couplings
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: Open valves and fittings](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-vannes-ouvertes-et-raccords/80636-3-eng-GB/formula-Open-valves-and-fittings_articlewidth.png)
![Close](/bundles/degremontememento/images/close_modal.png)
![Open valves - fittings](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/vannes-ouvertes-raccords/80647-3-eng-GB/Open-valves-fittings2_articlewidth.jpg)
![Secured image](/bundles/degremontememento/images/protected_image.png)
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 :
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: Valve coefficient Cv- for water](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-coefficient-cv-d-une-vanne-pour-l-eau/80656-3-eng-GB/formula-Valve-coefficient-Cv-for-water_articlewidth.png)
![Close](/bundles/degremontememento/images/close_modal.png)
![formula: Valve coefficient Cv - decimal units](https://www.suezwaterhandbook.com/var/degremont/storage/images/formules-et-outils/formulaire/hydraulique/pertes-de-charge-singulieres-dans-les-tuyauteries-raccords-vannes-pour-l-eau/dossier-media/formule-coefficient-cv-d-une-vanne-unites-decimales/80666-3-eng-GB/formula-Valve-coefficient-Cv-decimal-units_articlewidth.png)
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