modelCylindricalThickWall_L4
Extends from ClaRa.Basics.Icons.WallThick, ClaRa.Basics.Icons.ComplexityLevel (Displays the complexity level inside model icon ).
Information
A_heat cylinder that:
- involves heat conduction and heat storage
- only temperature-independent material data
- allows equidistant and single-side refined dicretisation schemes
- uses a second order discretisation for the spacial derivation
- comprehends both, full cylinders and hollow cylinders
This model is validated against Fischer et. al "Taschenbuch der technischen Formeln", pp 313-314.
For detailed model documentation please consult the html-documentation shipped with ClaRa.
Authorship and Copyright Statement for original (initial) Contribution
Author:
DYNCAP/DYNSTART development team, Copyright © 2011-2024.References:
For references please consult the html-documentation shipped with ClaRa.
Remarks:
This component was developed by ClaRa development team under the 3-clause BSD License.
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.
The ClaRa development team consists of the following partners:
TLK-Thermo GmbH (Braunschweig, Germany)
XRG Simulation GmbH (Hamburg, Germany).
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| ClaRa.Basics.Units.Area | A_heat_m | (N_tubes*Modelica.Constants.pi*length*(diameter_o - diameter_i))/log(diameter_o/diameter_i) | Mean area of heat transfer per pass |
| ClaRa.Basics.Units.ThermalResistance | HR_nom | (diameter_o - diameter_i)/(2*solid[1].lambda_nominal*A_heat_m) | Nominal conductive heat resistance |
| ClaRa.Basics.Units.Mass | mass | mass_struc + solid[N_rad].d*Modelica.Constants.pi/4*(diameter_o^2 - diameter_i^2)*length*N_tubes | Wall mass |
| Discretisation | |||
| Integer | N_rad | 1 | Number of radial elements |
| Real | sizefunc | 0 | Stretching of the volume elements (+1: inner elements are smaller) |
| Geometry | |||
| ClaRa.Basics.Units.Length | diameter_o | Outer diameter | |
| ClaRa.Basics.Units.Length | diameter_i | Inner diameter | |
| ClaRa.Basics.Units.Length | length | Length of cylinder | |
| Integer | N_tubes | 1 | Number of tubes in parallel |
| Integer | N_passes | 1 | Number of passes per tube |
| ClaRa.Basics.Units.Mass | mass_struc | 0 | Mass of inner structure elements, additional to the tubes itself |
| Initialisation | |||
| ClaRa.Basics.Units.Temperature[N_rad] | T_start | ones(N_rad)*293.15 | Start values of wall temperature inner --> outer |
| Integer | initOption | 213 | Type of initialisation |
Connectors
| Type | Name | Default | Description |
|---|---|---|---|
| ClaRa.Basics.Interfaces.HeatPort_a | outerPhase | outer side of the cylinder | |
| ClaRa.Basics.Interfaces.HeatPort_b | innerPhase | Inner sider of the cylinder |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| String | complexity (from ComplexityLevel) | "??" | |
| Real | CF_lambda | 1 | Time-dependent correction factor for thermal conductivity |
| ClaRa.Basics.Units.Length[N_rad] | Delta_radius | Thicknes of the volume elements | |
| ClaRa.Basics.Units.Length[N_rad + 1] | radius | Radii of the heat transfer areas | |
| ClaRa.Basics.Units.Temperature[N_rad] | T | Solid material temperature | |
| ClaRa.Basics.Units.InternalEnergy[N_rad] | U | Internal energy | |
| ClaRa.Basics.Units.HeatFlowRate[N_rad + 1] | Q_flow | Heat flow through material | |
| ClaRa.Basics.Units.Area[N_A_heat] | A_heat | ||
| ClaRa.Basics.Units.Length[N_A_heat] | radius_m | ||
| ClaRa.Basics.Units.Length[N_rad + 2] | radius_v | Radial position of the volume elements | |
| Real[N_rad + 1] | Tdr | Integral(Tdr) | |
| ClaRa.Basics.Units.ThermalResistance[N_rad] | HR_rad | Conductive heat resistance of each radial volume element | |
| ClaRa.Basics.Units.ThermalResistance | HR | Conductive heat resistance of the wall | |
| ClaRa.Basics.Units.Area[N_rad] | A_heat_m_rad | Mean area of heat transfer per radial volume element | |
| ClaRa.Basics.Units.Temperature | T_mean | Mean temperature | |
| TILMedia.Solid.Solid[N_rad] | solid | ||
| Summary | summary |
Contents
| Name | Description |
|---|---|
Revisions
For revisions please consult the html-documentation shipped with ClaRa.