modelSplitterY
Extends from Interfaces.partialSplitterY.
Information
This component models a Y-shaped Splitter. It computes the pressure loss of the fluid depending on the massflow rate or the massflow rate depending on a given pressure difference, some medium properties and the geometry of the Splitter. The component is valid for compressible calculation of one phase medium and branching angles from 15°-90°. This model is a splitter component only. Therfore flows contrary to the intended flow direction immediatly mean inccorect results and can lead to the model crashing. The model is used best with two given mass flow rates and one pressure boundary and steady state or slowly changing boundary conditions. If two pressure buondaries are used be careful to prevent back flow into the component.
The Y-Splitter component is extending the partial model partialSplitterY implementing the common flow balances for fluid splitting components. For the pressure loss calculation the functions dp_SplitterWyeType1_DP and dp_SplitterWyeType2_DP are used depending on the users geometry input. See their documentation for a detailed description on the pressure loss calculation and figuers containing pressure loss coefficieint charts.
PLEASE NOTE: Those functions are based on the formulas and data provided in "Handbook of Hydraulic Resistance" by Idel'chik (1960). Be aware that the book has been updated since then. Those functions calculate and feed back the pressure loss at each channel as well as the pressure loss coefficient with respect to the velocity in the common channel (inlet section). For more information on the pressure loss function click here.
The different types of splitter geometry are defined as described in Idelchik (1960) where:
- Type I: Fb + Fs > Fc and Fc = Fs "straight pipe with attached pipe branch"
- Type II: Fb + Fs = Fc "straight pipe splitting in two smaller branches, whereby the inlet and total outlet area remain the same"
Sketches of both splitter types are shown in Fig. 1. (Currently not yet available)
[P. Jordan; HTWG Konstanz; 01/24]
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Boolean | assumeConstantDensity | true | = true, if incompressibility is assumed (use '= false' for Ma > 0.3) |
| SI.Area | A_in | pi/4*d_in^2 | Common inlet cross-sectional area |
| SI.Area | A_branching | pi/4*d_branching^2 | Branching outlet cross-sectional area |
| SI.Area | A_straight | if Y_type1 then A_in else A_in - A_branching | Straight outlet cross sectional area |
| SI.Velocity | eps | Modelica.Constants.eps | To avoid division by zero |
| Geometry | |||
| SI.Length | d_in | (Common) inlet diameter | |
| SI.Length | d_branching | Branching outlet diameter | |
| SI.Angle | alpha | Branching angle | |
| Boolean | Y_type1 | true | = true, if A_straight_outlet = A_in, (= false, if A_straight_outlet = A_in - A_branching |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| SI.Pressure | DP_straight | Pressure loss of straight outlet (-dp_straight) | |
| SI.Pressure | DP_branching | Pressure loss of branching outlet (-dp_branching) | |
| Internal.Types.PressureLossCoefficient | zeta_straight | Pressure loss coefficient of straight outlet | |
| Internal.Types.PressureLossCoefficient | zeta_branching | Pressure loss coefficient of branching outlet | |
| Real | A_sc | A_straight/A_in | Area ratio straight/common inlet |