modelCylindricalThickWall_L4

A thick cylindric wall with radial discretisation

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

TypeNameDefaultDescription
ClaRa.Basics.Units.AreaA_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.ThermalResistanceHR_nom(diameter_o - diameter_i)/(2*solid[1].lambda_nominal*A_heat_m)Nominal conductive heat resistance
ClaRa.Basics.Units.Massmassmass_struc + solid[N_rad].d*Modelica.Constants.pi/4*(diameter_o^2 - diameter_i^2)*length*N_tubesWall mass
Discretisation
IntegerN_rad1Number of radial elements
Realsizefunc0Stretching of the volume elements (+1: inner elements are smaller)
Geometry
ClaRa.Basics.Units.Lengthdiameter_oOuter diameter
ClaRa.Basics.Units.Lengthdiameter_iInner diameter
ClaRa.Basics.Units.LengthlengthLength of cylinder
IntegerN_tubes1Number of tubes in parallel
IntegerN_passes1Number of passes per tube
ClaRa.Basics.Units.Massmass_struc0Mass of inner structure elements, additional to the tubes itself
Initialisation
ClaRa.Basics.Units.Temperature[N_rad]T_startones(N_rad)*293.15Start values of wall temperature inner --> outer
IntegerinitOption213Type of initialisation

Connectors

TypeNameDefaultDescription
ClaRa.Basics.Interfaces.HeatPort_aouterPhaseouter side of the cylinder
ClaRa.Basics.Interfaces.HeatPort_binnerPhaseInner sider of the cylinder

Components

TypeNameDefaultDescription
Stringcomplexity (from ComplexityLevel)"??"
RealCF_lambda1Time-dependent correction factor for thermal conductivity
ClaRa.Basics.Units.Length[N_rad]Delta_radiusThicknes of the volume elements
ClaRa.Basics.Units.Length[N_rad + 1]radiusRadii of the heat transfer areas
ClaRa.Basics.Units.Temperature[N_rad]TSolid material temperature
ClaRa.Basics.Units.InternalEnergy[N_rad]UInternal energy
ClaRa.Basics.Units.HeatFlowRate[N_rad + 1]Q_flowHeat 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_vRadial position of the volume elements
Real[N_rad + 1]TdrIntegral(Tdr)
ClaRa.Basics.Units.ThermalResistance[N_rad]HR_radConductive heat resistance of each radial volume element
ClaRa.Basics.Units.ThermalResistanceHRConductive heat resistance of the wall
ClaRa.Basics.Units.Area[N_rad]A_heat_m_radMean area of heat transfer per radial volume element
ClaRa.Basics.Units.TemperatureT_meanMean temperature
TILMedia.Solid.Solid[N_rad]solid
Summarysummary

Contents

NameDescription
Material
Summary

Revisions

For revisions please consult the html-documentation shipped with ClaRa.