modelRadiation_N
Lumped thermal element for radiation heat transfer
Information
This is a model describing the thermal radiation, i.e., electromagnetic radiation emitted between two bodies as a result of their temperatures. The following constitutive equation is used:
Q_flow = Gr*sigma*(port_a.T^4 - port_b.T^4);
where Gr is the radiation conductance and sigma is the Stefan-Boltzmann constant (= Modelica.Constants.sigma). Gr may be determined by measurements and is assumed to be constant over the range of operations.
For simple cases, Gr may be analytically computed. The analytical equations use epsilon, the emission value of a body which is in the range 0..1. Epsilon=1, if the body absorbs all radiation (= black body). Epsilon=0, if the body reflects all radiation and does not absorb any.
Proposed values for epsilon of the greenhouse elements: glass cover 0.84 pipes 0.88 canopy leaves 1.00 concrete floor 0.89 thermal screen 1.00 Typical values for epsilon for other materials: aluminium, polished 0.04 copper, polished 0.04 gold, polished 0.02 paper 0.09 rubber 0.95 silver, polished 0.02 wood 0.85..0.9
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Modelica.Units.SI.Area | A | floor surface | |
| Real | epsilon_a | emissivity coefficient of surface A | |
| Real | epsilon_b | emissivity coefficient of surface B | |
| Integer | N | 2 | Number of discrete flow volumes |
Connectors
| Type | Name | Default | Description |
|---|---|---|---|
| Greenhouses.Interfaces.Heat.HeatPorts_a | heatPorts_a | ||
| Modelica.Thermal.HeatTransfer.Interfaces.HeatPort_b | port_b |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| Real | FFa | 1 | View factor of element A |
| Real | FFb | 1 | View factor of element B |
| Real | FFab1 | 0 | View factor of intermediate element between A and B |
| Real | FFab2 | 0 | View factor of intermediate element between A and B |
| Real | FFab3 | 0 | View factor of intermediate element between A and B |
| Real | FFab4 | 0 | View factor of intermediate element between A and B |
| Real[N] | dT4 | ||
| Modelica.Units.SI.HeatFlowRate | Q_flow | ||
| Real | REC_ab |