modelAirThroughScreen

Heat and mass flux exchange and air exchange rate through the screen

Extends from Greenhouses.Interfaces.HeatAndVapour.Element1D (Partial water mass transfer element with two WaterMassPort connectors that does not store energy).

Information

The direct heat exchange between the air compartment below and above the screen is due to the exchange of air between the two compartments. The exchange rate is expressed as a volume flux per m 2 floor surface (m 3 m" 2 s"'). The air exchange is based on two mechanisms. In the first place, air is transported through the openings in the fabric. In the second place, when the screen is opened a crack for dehumidification, air is exchanged through a relatively large opening. In both cases the air exchange is induced by pressure or density differences. Pressure differences originate from wind speed fluctuations inducing pressure fluctuations in the top compartment through opened windows or leakage. A density difference originates from a temperature difference across the screen.

Temperature-driven air exchange through fully closed screens is intensively studied by Balemans (1989). He measured the air exchange rate through the screen for 12 different types of fabrics as a function of the temperature difference across the material. Subsequently he fitted a function through the data:

f_screen = K *dT^0.66

where f screen is the air flux through the screen (m3.m-2.s-1), K the 'screen flow coefficient' (m3.m-2.s-1.K-0.66) and AT the temperature difference across the screen (K). The following table lists some of his results extracted from (Balemans, 1989).

Material type         Trade name                 K (m3.m-2.s-1.K-0.66)
Knitted polyester         TD 55                 0.480e-3
Knitted polyester        TD 85                0.372e-3
Woven polyester        Verzuu GPA bandjes        0.203e-3
Film strip fabrics        LS11                0.161e-3
Non-woven                Tyvec gold standard        0.243e-3

Parameters

TypeNameDefaultDescription
Modelica.Units.SI.AreaAfloor surface
Modelica.Units.SI.LengthWlength of the screen when closed (SC=1)
RealKScreen flow coefficient (check values in Info)

Connectors

TypeNameDefaultDescription
Modelica.Thermal.HeatTransfer.Interfaces.HeatPort_aHeatPort_a (from Element1D)
Modelica.Thermal.HeatTransfer.Interfaces.HeatPort_bHeatPort_b (from Element1D)
Greenhouses.Interfaces.Vapour.WaterMassPort_aMassPort_a (from Element1D)
Greenhouses.Interfaces.Vapour.WaterMassPort_bMassPort_b (from Element1D)

Components

TypeNameDefaultDescription
Modelica.Units.SI.HeatFlowRateQ_flow (from Element1D)Heat flow rate from port_a -> port_b
Modelica.Units.SI.TemperatureDifferencedT (from Element1D)port_a.T - port_b.T
Modelica.Units.SI.MassFlowRateMV_flow (from Element1D)Mass flow rate from port_a -> port_b
Modelica.Units.SI.PressureDifferencedP (from Element1D)port_a.VP - port_b.VP
RealSC0Screen closure 1:closed, 0:open
Modelica.Units.SI.CoefficientOfHeatTransferHEC_ab
Modelica.Units.SI.Densityrho_air
Modelica.Units.SI.Densityrho_mean
Modelica.Units.SI.Densityrho_top
Modelica.Units.SI.SpecificHeatCapacityc_p_air1005
Realf_AirTop
RealR8314gas constant
Modelica.Units.SI.MolarMassM_H18
RealVEC_AirTopMass transfer coefficient
RealMV_flow2