PipeFlow L4 Advanced

Created Wednesday 12 June 2013

A model for a fluid flow in a pipe. A dynamic momentum balance is applied and the kinetic energy terms are negelcted. Energy storage in the surrounding wall is not part of the model.

1. Purpose of Model

This model is appropriate if the flow velocities can be in the order of magnitude of the speed of sound and if sound wave effects are of interest. Furthermore, the advection pressure differences due to accelerating or decelerating flows are considered. If energy storage in the surrounding wall is of interest consider the combination with Basics:ControlVolumes:SolidVolumes:CylindricalThinWall L4 or Basics:ControlVolumes:SolidVolumes:CylindricalThickWall L4

2. Level of Detail, Physical Effects Considered and Physical Insight


2.1 Level of Detail

Referring to Brunnemann et al. [1], this model refers to the level of detail L4 because the system is modelled with the use of balance equations, which are spatially discretised over the component. The discretisation can be defined by the user.

2.2 Physical Effects Considered

2.3 Level of Insight


Heat Transfer


Friction Pressure Losses



3. Limits of Validity


4. Interfaces


5. Nomenclature


6. Governing Equations


6.1 System Description and General model approach



6.2 General Model Equations


Energy Conservation


Mass Conservation



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

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

- removed the derivatives with respect to time of the potential and the kinetic energy are removed from the energy balance
- added parameter m_flow_start - Timm Hoppe, XRG Simulation



Backlinks: ClaRa:A User Guide:Revisions:v1.7.0 ClaRa:Basics:ControlVolumes:FluidVolumes:VolumeVLE L4 Advanced