Radiative heat transfer#

The Radiative heat transfer block describes the transfer of heat between bodies by radiation.

Heat flow in a block, according to the Stefan-Boltzmann law (1) :

(1)#\[ \mathrm{Q}=\mathrm{k}\cdot \mathrm{F}\cdot \left(T_{1}^{4}-T_{2}^{4}\right) \]

where:

\(k\) - radiation coefficient, [\(\frac{\mathrm{W}}{m^{2}\mathrm{\cdot }\mathrm{℃}^{4}}\)];

\(F\) - surface area of the radiating body, [m\(^2\)];

\(T_1\) - body temperature 1, [℃];

\(T_2\) - body temperature 2, [℃].

(2)#\[ k=\frac{\sigma }{\frac{1}{\epsilon _{1}}+\frac{1}{\epsilon _{2}}-1} \]

where:

\( \sigma \) - Stefan-Boltzmann constant;

\(\epsilon_{1}\) - degree of surface blackness;

\(\epsilon_{2}\) - degree of receiving surface blackness.

(3)#\[ k=\frac{\sigma }{\frac{1}{\epsilon _{1}}+\frac{1-\epsilon _{2}}{\epsilon _{2}}\cdot \frac{r_{1}}{r_{2}} } \]

where:

\(r_1\) - radius of the radiating object, [m];

\(r_2\) - radius of the receiving object, [m].

1. Properties#

Property	Default value	Description	Units of measurement
Surface area	10	-	m\(^2\)
Radiation coefficient	0.00000004	See block description above	\(\frac{\mathrm{W}}{m^{2}\mathrm{\cdot }\mathrm{℃}^{4}}\)

Parameters	Input/Output	Description	Units of measurement	Port type
Input	Input	Temperature of the preceding block	°С	Heat exchange
Output	Output	-	W	Heat exchange

In order to see the connection capabilities of the block, you need to go to page Description of block ports