Splitter3#
Copyright © EDF 2002 - 2026#
ThermoSysPro Version 4.2#
This component model is documented in Sect. 14.8 of the ThermoSysPro book.
Splitter3#
The static splitter is a cavity splitting an incoming flow into two or more exiting flows of adiabatic single-phase or homogeneous two-phase fluid.
Modelica component model#
The equations mentioned below are implemented in the component Splitter3, located in the WaterSteam.Junctions sub-library.
This component has 8 connectors:
Ce: fluid inlet,
Cs1: first fluid outlet,
Cs2: second fluid outlet,
Cs3: third fluid outlet,
Ialpha1: extraction coefficient imposing the fraction Ce1.Q/Cs.Q,
Ialpha2: extraction coefficient imposing the fraction Ce2.Q/Cs.Q,
Oalpha1: value of Ce1.Q/Cs.Q,
Oalpha2: value of Ce2.Q/Cs.Q.
If the connector Ialpha.x is not connected, then the fraction Cex.Q/Cs.q is not imposed.
If the connector Ialpha.x is connected, then Oalphax=Ialphax.
Nomenclature#
Symbol |
Description |
Unit |
Definition |
Modelica name |
|---|---|---|---|---|
\(h_{\mathrm{i}}\) |
Specific enthalpy of the fluid at the inlet of the splitter |
\(\mathrm{J} / \mathrm{kg}\) |
Ce.h |
|
\(h_{\mathrm{o}_{1}}\) |
Specific enthalpy of the fluid at outlet 1 |
\(\mathrm{J} / \mathrm{kg}\) |
Cs1.h |
|
\(h_{\mathrm{o}_{2}}\) |
Specific enthalpy of the fluid at outlet 2 |
\(\mathrm{J} / \mathrm{kg}\) |
Cs2.h |
|
\(h_{\mathrm{o} 3}\) |
Specific enthalpy of the fluid at outlet 3 |
\(\mathrm{J} / \mathrm{kg}\) |
Cs3.h |
|
\(\dot{m}_{\mathrm{i}}\) |
Fluid mass flow rate at the inlet |
\(\mathrm{kg} / \mathrm{s}\) |
Ce.Q |
|
\(\dot{m}_{\mathrm{o}_{1}}\) |
Fluid mass flow rate at outlet 1 |
\(\mathrm{kg} / \mathrm{s}\) |
Cs1.Q |
|
\(\dot{m}_{\mathrm{o}_2}\) |
Fluid mass flow rate at outlet 2 |
\(\mathrm{kg} / \mathrm{s}\) |
Cs2.Q |
|
\(\dot{m}_{\mathrm{o}_{3}}\) |
Fluid mass flow rate at outlet 3 |
\(\mathrm{kg} / \mathrm{s}\) |
Cs3.Q |
|
\(\alpha_{1}\) |
Extraction coefficient for outlet 1 (output of the model) |
\(-\) |
\(\frac{\dot{m}_{\mathrm{o}_{1}}}{\dot{m}_{\mathrm{i}}}\) |
alpha1 |
\(\alpha_{2}\) |
Extraction coefficient for outlet 2 (output of the model) |
\(-\) |
\(\frac{\dot{m}_{\mathrm{o}_{2}}}{\dot{m}_{\mathrm{i}}}\) |
alpha2 |
\(\alpha_{\mathrm{o}_{1}}\) |
Mass fraction coefficient for outlet 1 |
Ialpha1.signal |
||
\(\alpha_{\mathrm{o}_{2}}\) |
Mass fraction coefficient for outlet 2 |
\(-\) |
Ialpha2.signal |
Governing equations#
Static mass balance equation#
Validity domain:
\(\forall \dot{m}\)
Mathematical formulation:
Comments:
The value of \(\dot{m}_{\mathrm{o}_{1}}\) and \(\dot{m}_{\mathrm{o}_{2}}\) can be defined as a fraction of the input mass flow rate:
$\( \dot{m}_{\mathrm{o}_{1}} =\alpha_{\mathrm{o}_{1}} \cdot \dot{m}_{\mathrm{i}} \ \dot{m}_{\mathrm{o}_{2}} =\alpha_{\mathrm{o}_{2}} \cdot \dot{m}_{\mathrm{i}}\)$
This option enables to compute the mass flow rates at the outlets knowing the mass flow rate at the inlet.
Static energy balance equation#
Validity domain:
\(\exists \dot{m}\) such that \(\dot{m} \neq 0\)
Mathematical formulation:
Comments:
This equation is valid if at least one mass flow rate is nonzero. Otherwise, the mixing specific enthalpy inside the splitter is undefined.
References#
El Hefni, Baligh and Bouskela, Daniel (2019). Modeling and Simulation of Thermal Power Plants with ThermoSysPro, sect. 14.8. Springer Nature Switzerland AG.