Heat Maps report

Use the Heat Maps report type to generate a report on the heat flow data between each specified pair of regions. The software pairs each Heat Maps type Report simulation object with every other Heat Maps type Report simulation object in the current solution.

The following data is reported in two different tables in the [simulation name]-[solution name].GroupReport.htm and GroupReport.csv files:

• The Heat Maps table lists the heat contributions of conduction, radiation, convection, and linear thermal coupling from the first region of the pair to the second region of the pair for each solution time step.

• The View Factors table lists the information on view factors from the first region in the pair to the second region in the pair for each solution time step.

Example:

This example shows a partial report for a solution that includes two Heat Maps type Report simulation objects that are named Region 1 and Region 2.

Heat Maps

To(i)	From(j)	Time	Temp(i)	Temp(j)	Conduction	Radiation	Convection	Linear Thermal Coupling	Total
Region 1	Region 2	0	19.699	19.9378	1.52021e+008	NA	NA	NA	1.52021e+008
Region 1	SPACE	0	19.699	-20	NA	NA	NA	NA	NA
Region 1	Rest	0	19.699	17.9483	-1.52021e+008	NA	NA	NA	-1.52021e+008
Region 1	All	0	19.699	NA	160	0	0	0	160
Region 2	Region 1	0	19.9378	19.699	-1.52021e+008	NA	NA	NA	-1.52021e+008
Region 2	SPACE	0	19.9378	-20	NA	-940291	NA	NA	-940291
Region 2	Rest	0	19.9378	17.9483	NA	-146280	NA	1.53104e+008	1.52958e+008
Region 2	All	0	19.9378	NA	-1.52021e+008	-1.08657e+006	0	1.53104e+008	-3216
SPACE	Region 1	0	-20	19.699	NA	NA	NA	NA	NA
SPACE	Region 2	0	-20	19.9378	NA	940292	NA	NA	940292
SPACE	Rest	0	-20	17.9483	NA	1.20993e+007	NA	NA	1.20993e+007
SPACE	All	0	-20	NA	0	1.30396e+007	0	0	1.30396e+007

Heat Maps table explained

• The To(i) and From(j) columns list all possible pairs of Heat Maps type of Report simulation objects.

• The SPACE and AMBIENT regions are included automatically when the thermal model has a radiative environment or a duct flow network.SPACE represents the radiative environment.AMBIENT represents the ambient environment of the duct network.

• Each region in the To(i) column is always paired with Rest and All in the From(j) column. Rest contains all other elements that are not included in any regions already present in the report.All does not represent a region of your model, but indicates the sum of heat received by the region indicated in the To(i) column for a given type of heat transfer.

• Time indicates the time step of a transient run. For a steady state solution, this column is equal to zero.

• Temp(i) and Temp(j) indicate the average temperature of the To(i) and From(j) regions respectively, Ti and Tj.

• The Conduction, Radiation, Convection, and Linear Thermal Coupling columns list the amount of heat transferred, by each type of heat exchange, between the To(i) and From(j) regions.Note: Radiation, convection, and thermal couplings are applicable only for surfaces. When you select a polygon body, NA appears in the Radiation, Convection, and Linear Thermal Coupling columns.

• Total is the sum of all heat exchanged between the To(i) and From(j) regions.

View Factors

From(i)	To(j)	Time	Emissivity(i)	Emissivity(j)	Area(i)	Area(j)	Black Body View Factor(ij)	Gray Body View Factor(ij)	ScriptF(ij)	RADK(ij)
Region 1	Region 2	0	NA	NA	0	0	0	NA	NA	NA
Region 1	SPACE	0	NA	NA	0	0	0	NA	NA	NA
Region 1	Rest	0	NA	1	0	31600	0	NA	NA	NA
Region 2	SPACE	0	1	1	10000	4.84e+012	0.506824	0.510642	0.510642	5106.42
Region 2	Rest	0	1	1	10000	31600	0.487362	0.491077	0.491077	4910.76
SPACE	Rest	0	1	1	4.84e+012	81599.9	1.44959e-008	0.932628	0.932628	4.51392e+012

View Factors table explained

• The From(i), To(j), and Time columns are similar to the ones in the Heat Maps table.

• The Emissivity(i) and Emissivity(j) columns list the area-averaged emissivity values for the From(i) and To(j) regions respectively, εi and εj.

• The Area(i) and Area(j) columns list the total area for the From(i) and To(j) regions respectively, Ai and Aj.

• Black Body View Factor(ij) is the black body view factor from region i to region j, BBVFij, calculated as follows:BBVFij = Gradij/Aiwhere Gradij is the sum of radiation conductances from the Oppenheim elements of region i to the Oppenheim elements of region j.

• Gray Body View Factor(ij) is the gray body view factor from region i to region j, GBVFij, calculated as follows:GBVFij = Qradij/σεi**Ai(Ti4 – Tj4)where Qradij is the radiation from region i to region j listed in the Radiation column of the Heat Maps table.

• ScriptF(ij), ScriptFij, is calculated as follows:ScriptFij = εi**GBVFij

• RADK(ij), RadKij, is calculated as follows:RadKij = ScriptFij**Ai

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