modelCylinderFourier
Thermal model of a hollow cylinder by Fourier's equation - 1 axial node and Nr radial nodes
Extends from ThermoPower.Icons.MetalWall.
Information
This is the 1D thermal model of a solid hollow cylinder by Fourier's equations.The model is axis-symmetric, has one node in the longitudinal direction, and Nr nodes in the radial direction. The two connectors correspond to the internal and external surfaces; if one of the surface is thermally insulated, just leave the connector unconnected (no connection on a DHT connector means zero heat flux). The temperature-dependent properties of the material are described by the replaceable MaterialModel model.
Modelling options
The radial distribution of the nodes can be chosen by selecting the value of nodeDistribution:- Choices.CylinderFourier.NodeDistribution.uniform uniform distribution, nodes are equally spaced;
- Choices.CylinderFourier.NodeDistribution.thickInternal quadratic distribution, nodes are thickest near the internal surface;
- Choices.CylinderFourier.NodeDistribution.thickExternal quadratic distribution, nodes are thickest near the external surface;
- Choices.CylinderFourier.NodeDistribution.thickBoth quadratic distribution, nodes are thickest near both surfaces.
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Integer | Nr | 2 | Number of radial nodes |
| NodeDistribution | nodeDistribution | ThermoPower.Choices.CylinderFourier.NodeDistribution.uniform | Node distribution |
| SI.Length | rint | Internal radius | |
| SI.Length | rext | External radius | |
| Initialisation | |||
| SI.Temperature | Tstartint | 300 | Temperature start value at rint (first node) |
| SI.Temperature | Tstartext | 300 | Temperature start value at rext (last node) |
| Choices.Init.Options | initOpt | Choices.Init.Options.noInit | Initialisation option |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| SI.Length[Nr] | r | Node radii | |
| SI.Temperature[Nr] | T | Nodal temperatures | |
| SI.Temperature | Tm | Mean temperature | |
| MaterialModel[Nr] | metal | Metal properties at the nodes | |
| ThermoPower.Thermal.DHT | internalBoundary | ||
| ThermoPower.Thermal.DHT | externalBoundary |
Contents
| Name | Description |
|---|---|
| MaterialModel |
Revisions
- 30 Dec 2005
by Francesco Casella:
Bugs fixed in boundary condition and node distribution. - 1 May 2005
by Luca Bascetta:
First release.