QuadraticZeta
Created Monday 08 July 2013
A quadratic pressure loss model based on the definition of cross section and a pressure loss coefficient.
1. Purpose of Model
The model can be used for introducing pressure loss effects (either due to physical or numerical motivation), when the inlet density of the vessel may vary considerably over time and no choked flow may occur. Since the model neglects changes in kinetic energy it implies either small density changes or adapted flange geometry. It is possible to use the valve as a check valve, for example to avoid back flows. Since the model takes inlet density into account it is considered less robust than e.g. Components:VolumesValvesFittings:Valves:Fundamentals:LinearNominalPoint but shows a more realistic behaviour when it comes to density variations in the upstream components.
2. Level of Detail and Physical Effects Considered
2.1 Level of Detail
Referring to Brunnemann et al. [1], this model refers to the level of detail L1 because no spatially discretisation is featured
2.2 Physical Effects Considered
- quadratic losses depending on valve opening, mass flow rate and density
- changes of inlet density considered
3. Limits of Validity
- no two-phase flow
4. Interfaces
the calculated mass flow rate is accessed via
inlet.m_flow = pressureLoss.m_flow
in the superordinate valve model
5. Nomenclature
6. Governing Equations
7. Remarks for Usage
8. Validation
9. References
[1] Johannes Brunnemann and Friedrich Gottelt, Kai Wellner, Ala Renz, André Thüring, Volker Röder, Christoph Hasenbein, Christian Schulze, Gerhard Schmitz, Jörg Eiden: "Status of ClaRaCCS: Modelling and Simulation of Coal-Fired Power Plants with CO2 capture", 9th Modelica Conference, Munich, Germany, 2012
[2] Walter Wagner: "Regelarmaturen", ISBN 3-8023-15664-2, Vogel Buchverlag, Germany, 1996.
10. Authorship and Copyright Statement for original (initial) Contribution
Author:
DYNCAP/DYNSTART development team, Copyright 2011 - 2022.
Remarks:
This component was developed during DYNCAP/DYNSTART projects.
Acknowledgements:
ClaRa originated from the collaborative research projects DYNCAP and DYNSTART. Both research projects were supported by the German Federal Ministry for Economic Affairs and Energy (FKZ 03ET2009 and FKZ 03ET7060).
CLA:
The author(s) have agreed to ClaRa CLA, version 1.0. See https://claralib.com/pdf/CLA.pdf
By agreeing to ClaRa CLA, version 1.0 the author has granted the ClaRa development team a permanent right to use and modify his initial contribution as well as to publish it or its modified versions under the 3-clause BSD License.
11. Version History
- 2013-07-04 - v0.1 - initial implementation - Friedrich Gottelt, XRG Simulation
Backlinks: ClaRa:Components:VolumesValvesFittings:Fittings:SprayInjectorVLE L3 ClaRa:Components:VolumesValvesFittings:Fittings:SprayInjectorVLE L3 advanced ClaRa:Components:VolumesValvesFittings:Valves:GenericValveGas L1 ClaRa:Components:VolumesValvesFittings:Valves:GenericValveVLE L1 ClaRa:Components:VolumesValvesFittings:Valves:ValveFuelFlueGas L1