CylindricalThinWall L4

Created Monday 17 June 2013

Model energy storage and heat flow in radial direction through a thin cylindric wall.

1. Purpose of Model


This model could be used to regard energy storage of a cylindric thin wall neglecting heat conduction in longitudinal direction. Typical examples are thin tube walls.

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 discretisised. The discretisation scheme can be defined by the user.

2.2 Physical Effects Considered

2.3 Level of Insight

No different levels of detail available.

3. Limits of Validity

4. Interfaces


4.1 Physical Connectors


Basics:Interfaces:HeatPort a innerPhase
Basics:Interfaces:HeatPort a outerPhase

5. Nomenclature



6. Governing Equations


6.1 System Description and General model approach

The temperature and substance properties are spatially averaged over the whole component. The user is enabled to choose where the differential state of the wall should be located (inner side, outer side or center) by use of the parameter "stateLocation". The component can be discretized in longitudinal direction with no heat transfer between the single cells. For the sake of simplicity the index for the cells is omitted in the following equations.

6.2 General Model Equations


Energy Conservation


The inner energy of the storage material is calculated as follows:

With the energy balance of the wall the change of the inner energy with the in- and outflowing heat is calculated:

Depending on the chosen state location the surface temperatures of the wall material are calculated. If the state is located at inner Phase:

If the state is located in center phase:

And if the state is located at outer phase:

Depending on the option "useAxialHeatConduction" one can add axial heat conduction.

Summary

A summary record is available which bundles important component values.

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 Simulationof 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

2013-06-28 - v 0.1 - Initial implementation - L. Nielsen, TLK-Thermo GmbH
04.02.2019 - v1.4.0 - renamed init option "no Init" to "fixed temperature" - Timm Hoppe, XRG Simulation
17.12.2020 - v1.6.0 - axial conduction - Ales Vojacek, XRG Simulation


Backlinks: ClaRa:A User Guide:Revisions:v1.6.0 ClaRa:Components:Sensors:SensorVLE L3 T ClaRa:SubSystems:Furnace:BurnerSlice L4 ClaRa:SubSystems:Furnace:ConvectiveSlice L4 ClaRa:SubSystems:Furnace:FreeboardSlice L4 ClaRa:SubSystems:Furnace:HopperSlice L4 ClaRa:SubSystems:Furnace:HopperSlice L4 AdditionalAir ClaRa:Basics:ControlVolumes:SolidVolumes:ThinWall L4 ClaRa:Components:VolumesValvesFittings:Pipes:PipeFlowGas L4 Advanced ClaRa:Components:VolumesValvesFittings:Pipes:PipeFlowGas L4 Simple ClaRa:Components:VolumesValvesFittings:Pipes:PipeFlow L4 Advanced ClaRa:Components:VolumesValvesFittings:Pipes:PipeFlow L4 Simple ClaRa:Components:VolumesValvesFittings:Pipes:TubeBundle L4H1