.ThermoSysPro.WaterSteam.PressureLosses.PipePressureLoss

Information

## Copyright © EDF 2002 - 2026  
## ThermoSysPro Version 4.2  
This component model is documented in Sect. 13.4 of the ThermoSysPro book.   

# Pipe pressure loss   

This component represents generic pressure losses in a pipe or a singularity using a single-friction pressure loss coefficient. It can also represent the pressure losses inside a circuit of connected pipes and singularities with a pressure loss coefficient equivalent to the whole circuit. The [lumped straight pipe](modelica://ThermoSysPro.WaterSteam.PressureLosses.LumpedStraightPipe) should be used instead to take that effect into account. For water/steam, the flow regime can be single-phase or homogeneous two-phase flow.  

Following assumptions are made:  
- The flow inside pressure losses is adiabatic. Non-adiabatic pipes must be  
modeled by connecting pressure losses to volumes.  
- The specific enthalpy inside the components is equal to the specific enthalpy at the inlet.  
- The properties of the fluid are computed for the average pressure..  
- Inertia due to momentum inside pipes is neglected.  

The pipe pressure loss component is similar to the [singular pressure loss](modelica://ThermoSysPro.WaterSteam.PressureLosses.SingularPressureLoss), except that it enables the setting of inlet and outlet altitudes of the pipe.  

## Modelica component model  

The equations mentioned below are implemented in the component *PipePressureLoss*, located in the *WaterSteam.PressureLosses* sub-library.   
This component has 2 connectors:  
- C1: fluid inlet,  
- C2: fluid outlet.  
   
![modelica://ThermoSysPro/UsersGuide/Documentation/ThermoSysPro.WaterSteam.PressureLosses.PipePressureLoss.svg](modelica://ThermoSysPro/UsersGuide/Documentation/ThermoSysPro.WaterSteam.PressureLosses.PipePressureLoss.svg)  

## Nomenclature  

| Symbol| Description| Unit| Definition| Modelica name |  
| :------------------------ | :---------------------------------------------------------- | :------------------------------- | :--------------------------------------------------------------- | :----------- |  
| \\(g\\)| Gravity constant| \\(\mathrm{m} / \mathrm{s}^{2}\\)|| g |  
| \\(h\\)| Fluid specific enthalpy | \\(\mathrm{J} / \mathrm{kg}\\)|| h |  
| \\(m\\)| Fluid mass flow rate| \\(\mathrm{kg} / \mathrm{s}\\)|| Q  |  
| \\(P\_{\mathrm{i}}\\)| Fluid pressure at the inlet| \\(\mathrm{Pa}\\)|| C1.P |  
| \\(P\_{\mathrm{o}}\\)| Fluid pressure at the outlet| \\(\mathrm{Pa}\\)|| C2.P |  
| \\(z\_{\mathrm{i}}\\)| Inlet altitude| \\(\mathrm{m}\\)|| z1 |  
| \\(z\_{0}\\)| Outlet altitude| \\(\mathrm{m}\\)|| z2 |  
| \\(\Delta P\\)| Pressure loss of the fluid between the inlet and the outlet | \\(\mathrm{Pa}\\)| \\(P\_{\mathrm{i}}-P\_{\mathrm{o}}\\)| deltaP |  
| \\(\Delta P\_{\mathrm{f}}\\) | Friction pressure loss between the inlet and the outlet| \\(\mathrm{Pa}\\)|| deltaPf |  
| \\(\Delta P\_{\mathrm{g}}\\) | Gravity pressure loss between the inlet and the outlet| \\(\mathrm{Pa}\\)| \\(\rho \cdot g \cdot\left\(z\_{\mathrm{o}}-z\_{\mathrm{i}}\right\)\\) | deltaPg |  
| \\(\Lambda\\)| Friction pressure loss coefficient| \\(\mathrm{m}^{-4}\\)|| K |  
| \\(\rho\\)| Fluid density| \\(\mathrm{kg} / \mathrm{m}^{3}\\) || rho |  


## Governing equations  

### Static momentum balance equation  


    
    

- Validity domain:   
   
 \\(\forall \dot{m}\\)  

- Mathematical formulation:   
   
 $$\Delta P=\Delta P\_{\mathrm{f}}+\Delta P\_{\mathrm{g}}$$  

- Comments:   
   
 In case of a singularity, \\(z\_{\mathrm{o}}=z\_{\mathrm{i}}\\) and consequently \\(\Delta P\_{\mathrm{g}}=0\\).  


### Friction pressure losses  


    
    

- Validity domain:   
   
 \\(\forall \dot{m}\\)  

- Mathematical formulation:   
   
 $$\Delta P\_{\mathrm{f}}=\Lambda \cdot \frac{\dot{m} \cdot \lvert \dot{m} \rvert }{\rho}$$  

- Comments:   
   
The pressure loss coefficient \\(\Lambda\\) is provided by the user or can be obtained by inverse calculation from the mass flow rate.  

## References   
   
El Hefni, Baligh and Bouskela, Daniel (2019). [Modeling and Simulation of Thermal Power Plants with ThermoSysPro](https://link.springer.com/book/10.1007/978-3-030-05105-1), sect. 13.4. Springer Nature Switzerland AG.  
    

Revisions