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For two grey objects the quantity of transmitted heat is calculated under the formula:

**q _{e} = C_{0}· e_{n}· [(T_{1}/100)^{4}- (T_{2}/100)^{4}] · H ,
[1]**

where

**C _{0} ** = 4,9 kcal/(m

**e _{n}** – the reduced power of blackness of system;

**H** – a cross radiating surface;

**T _{1}, T_{2}** – temperatures of interreacting objects (a radiator and heat receiver).

For recalculation between force systems it is used the following dependence: **1 cal = 4,1868 J**.

We consider, that surfaces have the concentric shape and the heating up surface is located in heated up. For this case of interaction of two objects the given degree of blackness of system calculated under the formula:

**e _{n} = 1 / [1+ (1/e_{1}-1) · f_{12}+ (1/e_{2}-1) · f_{21}]
[2]**

where

**e _{1}, e_{2} ** – degrees of blackness of a heater and the receiver accordingly;

**f _{12}, f_{21} ** – averages on a surface coefficients of a cross irradiance of a heater on heat and receiver on a heater.

Averages on a surface irradiance coefficients (for interreacting surfaces) and quantity of a cross radiating surface are spotted by means of following dependences:

**f _{12} = 1; f_{21} = F_{1}/F_{2}; H =f_{1};
[3]**

where

**F _{1}, F_{2}** – the areas of surfaces of radiation and uptake accordingly.

Let's substitute formulas (2) and (3) in the formula (1). We will gain the following resultant the formula:

**q _{e} = C_{0}· [(T_{1}/100)^{4}- (T_{2}/100)^{4}] · F_{1} / [1+ (1/e_{1}-1) + (1/e_{2}-1) · F_{1}/F_{2}],
[4]**

The thermal stream radiated by a surface in a surrounding medium, pays off under the formula:

**q _{e} = C_{0}· e· (T/100)^{4} · F .
[5]**

Similar name for the process of heat transfer by radiation: thermal radiation, radiative heat transfer, radiant heat transfer.

The process of heat transfer by radiation (radiant heat transfer, etc.) consists in the transfer of heat in space with the propagation of electromagnetic waves and the conversion of the internal energy of the heat
source into radiation energy, as well as the radiation energy into the internal energy of the heat consumer in the process of emission and absorption of electromagnetic waves.

Let's present calculation under the given formula in the form of the system of diagrammes constructed by means of an applet.

For build-up of system of nomograhic charts we will converse the formula (4) to a following view:

**q _{e} = C_{0}· [(T_{1}/100)^{4}- ((T_{1}-dT)/100)^{4}] · F_{1} / [(1/e_{1}) + (1/e_{2}-1) · F_{1}/F_{2}],
[6]**

where

**dT = T _{1}-T_{2}** – a difference of temperatures of surfaces of a heating and uptake.

The circuit design of nomographs is presented in drawing 1.

** Drawing 1. The circuit design of system of nomographs for graphic-analytical calculation of heat transfer by radiation**

After applet start an auxiliary window will have the following appearance (drawing 2).

** Drawing 2. An additional window of an applet on build-up of system of nomographs for graphic-analytical calculation of heat transfer by radiation**

In an auxiliary window the circuit design of disposing of nomographs is already shown, but she demands recurring feeding into, therefore on each small square which is marking out a nomograph "is clicked" by the right key of the mouse and the left key "clicked"on that place where there should be a colour flag indicator (a place of disposing of meaning of parametre Z of a nomograph). It is possible choose any other location of variable parametre Z. After recurring appointment of the circuit design of nomographs "is clicked" by the left key of the mouse on sign "[-]", had in left overhead to the angle of the circuit design of nomographs. It will change the aspect on "[+]". It means, that the circuit design of nomographs is fixed. .

** Drawing 3. An additional window of an applet on build-up of system of nomographs with the tuned circuit design of nomographs for graphic-analytical calculation of radiant heat transfer**

After attaching of the circuit design of nomographs, "is in succession clicked" on everyone sign, marking out a nomograph, and it is pushed three buttons "In the working memory" ("Â ÎÇÓ"), "Substitution ID" ("Ïîäñòàíîâêà ÈÄ"), "the Total formula" ("Èòîãîâàÿ ôîðìóëà") for entering of all parametres of a nomograph into an on-line storage and design formula formation.

We transfer to the basic window and we induct meanings of steps on axes "X" and "Y". We push the button "to Build on ID" ("Ïîñòðîèòü ïî ÈÄ").

** Drawing 4. The basic window of an applet for build-up of system of nomographs for graphic-analytical calculation of radiant heat transfer**

More detailed instruction on operation with an applet.

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The topic of this section: calculation of heat transfer by radiation in radiant heat transfer (radiative heat transfer) between bodies.
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This program (applet) can be used as a regular formula calculator.

graphic-analytical systems

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