Perte de charge Courbe de réseau  


La courbe de réseau et la courbe de pompe
Courbe de réseau 2




Define your system curve in 5 steps

1. Configure the flow diagram. Click valves open or close.
2. Enter title and medium.
3. Parameters for frictionless flow (Bernoulli).
4. Parameters for viscous flow (pipe friction / Colebrook, valves, etc.).
5. Save your data.




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p 1
p 4

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h 1

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cliquez sur l´armature pour l´ouvrir

Nom de la caractéristique
Commentaire
Débit nominal*   m³/h

Fluide Température ºC
Densité* kg/m³ Viscosité Dyn.  (Newton)* mPas


Courant sans frottement

Bernoulli´s equation stands for all parameters that influence pressure loss in frictionless regime: absolute pressures, suction height, height of discharge and speed (diameter). Pressure loss caused by friction and turbulence we deal with further down. Data for suction side and pressure side is collected separately to determine the pressure rise accross the pump. Absolute pressure on the pumps suction side must stay below its NPSH value to avoid cavitation caused by evaporation inside the pump.

Côté aspiration

Côté de la pression


Bernoulli Tube d'acier Tube en plastique

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  p1  bar,abs Des pressions absolues!   p4=p1  
  h1*  m     h4=h1  
  tuyau au terme du réservoir compensateur sorties de la pompe   tuyau avant le réservoir compensateur
  d1*  mm d2*   mm        d3*   mm   d4=d1


Importer toutes les données suivantes de la caractéristique 1    oui    non

Perte de charge de l´écoulement visqueux

A. Tuyauterie


The equation of Darcy-Weisbach allows to determine the pressure loss of straight piping and bends. Darcy Friction Factor is calculated by the law of Hagen-Poiseulle for laminar flow. For transition zone and turbulent flow Darcy Friction Factor is calculated by the equation of Colebrook (Moody). Laminar flow through bends is calculated according to Ghia, non-laminar flow according to Krüger. Data for suction side and pressure side is collected separately to determine the pressure rise accross the pump. Absolute pressure on the pumps suction side must stay below its NPSH value to avoid cavitation caused by evaporation inside the pump. We start with choosing the roughness of the inner pipe wall. Click the link roughness for help.


Rugosité    mm

Côté aspiration

Côté de la pression

Tuyau droit

Base du calcul Tube d'acier Tube en plastique
dAspir,1   mm      Longueur    m   dPression,1   mm      Longueur    m

Coudes 90º


Base du calcul Tube d'acier Tube en plastique
Nombre        d =dAspir,1      r/dAspir,1  Nombre       d =dPression,1      r/dPression,1 



B. Diverses: accessoires de tuyauterie, filtres, valves, débimètres, échangeurs de chaleur, etc.


First we look at components with a known maximum pressure drop. Filters have to be changed or cleaned at maximum pressure drop. Components that tend to plug or become incrusted have to be cleaned at maximum pressure drop. Data for suction side and pressure side is collected separately to determine the pressure rise accross the pump. Absolute pressure on the pumps suction side must stay below its NPSH value to avoid cavitation caused by evaporation inside the pump.



Δ p = constante
Nom    Perte de charge   bar Nom    Perte de charge   bar
Nom    Perte de charge   bar Nom    Perte de charge   bar
Nom    Perte de charge   bar Nom    Perte de charge   bar

Côté aspiration

Côté de la pression

Flow coefficient cv of a component equals its water flow in [gal/min] at a pressure loss of 1 [psi]. Flow coefficient kv equals its water flow in [m³/h] at a pressure loss of 1 [bar]. The tab above the entry area leads to kv values of various valves. Flow coefficients cv can be converted to kv - see link kv or choose the calculator from the main menue. More theory as always on the left corner of the entry area.



Coefficient de débit    kv   cv kv de divers types des vannes
  Nom    Nombre    Nom    Nombre 
  kv  m³/h H20 @ Δp = 1 [bar]   kv  m³/h H20 @ Δp = 1 [bar]
  Nom    Nombre    Nom    Nombre 
  kv  m³/h H20 @ Δp = 1 [bar]   kv  m³/h H20 @ Δp = 1 [bar]
  Nom    Nombre    Nom    Nombre 
  kv  m³/h H20 @ Δp = 1 [bar]   kv  m³/h H20 @ Δp = 1 [bar]

Côté aspiration

Côté de la pression


Friction Factor K is the proportional factor of the Darcy-Weisbach equation. Click the tab above the entry area for K values of various valves. More theory as always on the left corner of the entry area.



Coefficient de résistance   K K de divers types des vannes
  Nom    Nombre    Nom    Nombre 
  Coefficient de résistance K  [-]   Coefficient de résistance K  [-]
  Diamètre   mm   Diamètre   mm
  Nom    Nombre    Nom    Nombre 
  Coefficient de résistance K  [-]   Coefficient de résistance K  [-]
  Diamètre   mm   Diamètre   mm
  Nom    Nombre    Nom    Nombre 
  Coefficient de résistance K  [-]   Coefficient de résistance K  [-]
  Diamètre   mm   Diamètre   mm

Côté aspiration

Côté de la pression


Sometimes neither a cv value nor a friction factor is known for the component in question. But pressure loss and flow for one point of operation. This data can be used as reference the same way we use cv values. Darcy-Weisbach equation allows the conversion to different flows, pressure losss and densities.



un point de fonctionnement donnée
  Nom    Nombre    Nom    Nombre 
  Perte de charge   bar   Perte de charge   bar
  Débit volumétrique   m³/h   Débit volumétrique   m³/h
  Densité   kg/m³   Densité   kg/m³
  Nom    Nombre    Nom    Nombre 
  Perte de charge   bar   Perte de charge   bar
  Débit volumétrique   m³/h   Débit volumétrique   m³/h
  Densité   kg/m³   Densité   kg/m³





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