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

TypeNameDefaultDescription
Modelica.Units.SI.AreaAfloor surface
Realepsilon_aemissivity coefficient of surface A
Realepsilon_bemissivity coefficient of surface B
IntegerN2Number of discrete flow volumes

Connectors

TypeNameDefaultDescription
Greenhouses.Interfaces.Heat.HeatPorts_aheatPorts_a
Modelica.Thermal.HeatTransfer.Interfaces.HeatPort_bport_b

Components

TypeNameDefaultDescription
RealFFa1View factor of element A
RealFFb1View factor of element B
RealFFab10View factor of intermediate element between A and B
RealFFab20View factor of intermediate element between A and B
RealFFab30View factor of intermediate element between A and B
RealFFab40View factor of intermediate element between A and B
Real[N]dT4
Modelica.Units.SI.HeatFlowRateQ_flow
RealREC_ab