ThinWall L4
Created Tuesday 18 March 2014
Basic model of a solid energy storage capacity with dynamic energy balance, taking heat conduction in a plate into account.
1. Purpose of Model
This model could be used to regard energy storage of a flat thin wall neglecting heat conduction in longitudinal direction. Typical examples are thin storage material walls inside regenerative air preheaters. To model heat transfer inside tube walls (radial conduction) consider the application of CylindricalThickWall L4 or CylindricalThinWall 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 averaged over the component. A discretization in longitudinal direction is also possible.
2.2 Physical Effects Considered
- conductive heat transfer
- energy storage
2.3 Level of Insight
No different levels of detail available.
3. Limits of Validity
- Thin walls
- No heat conduction in longitudinal direction
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".
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:
The mass and heat transfer area of the plate wall are calculated as follows:
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 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
2013-06-28 - v 0.1 - Initial implementation - L. Nielsen, TLK-Thermo GmbH
2018-02-05 - v 1.3.0 - Renamed to ThinWall_L4; Can be discretised by parameter; parameter N_pathes added - Timm Hoppe, XRG-Simulation
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:HeatExchangers:FlatTubeFinnedHEXvle2gas L4 ClaRa:Components:HeatExchangers:HEXvle2gas L3 2ph BU simple ClaRa:Components:HeatExchangers:PlateHEXvle2vle L4 ClaRa:Components:HeatExchangers:RegenerativeAirPreheaterSecAir L4 ClaRa:Components:HeatExchangers:RegenerativeAirPreheater L4 ClaRa:Components:Sensors:SensorVLE L3 T ClaRa:Basics:ControlVolumes:SolidVolumes:ThinWall L2