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# flow enclosed

Computes the radiative heat flow between an enclosing surface and a body found inside it.
Controller: CodeCogs

C++
Excel

## Flow Enclosed

 doubleflow_enclosed( double A1 double A2 double T1 double T2 double e1 double e2 )[inline]
This module calculates the radiative heat flow per unit surface between an enclosing surface and a body found in its interior.

On account of the Stefan-Boltzmann law, the unit radiative heat flow between the two surfaces is given by

where

with ,  the emissivity factors of the enclosed and enclosing surfaces , ,  the areas of the enclosed and enclosing surfaces,  the emissivity constant of the black body  and ,  the corresponding absolute temperatures of the two surfaces.

In the diagram below is shown the radiative heat transfer between a body of temperature  which encloses a body of temperature .

### Example 1

The example below computes the unit radiative heat flow between an enclosing fire brick surface at 1373.16 degrees Kelvin and a spherical oxidated steel body at 873.16 degrees Kelvin, found in its interior.
#include <codecogs/engineering/heat_transfer/radiation/flow_enclosed.h>
#include <stdio.h>

int main()
{

// the temperature of the oxidated steel body
double T1 = 873.16;

// the temperature of the fire brick surface
double T2 = 1373.16;

// the emission factor of the steel body
double e1 = 0.79;

// the emission factor of the fire brick surface
double e2 = 0.75;

// the area of the spherical steel body
double A1 = 3.1416;

// the area of the fire brick enclosing surface
double A2 = 20;

// display radiative heat flow between the two enclosed surfaces
printf("Radiative heat flow = %.5lf W per sq. meter\n",
(A1, A2, T1, T2, e1, e2));

return 0;
}

### Output

Radiative heat flow = 127904.73453 W per sq. meter

### Note

A table with the emissivity factors of various materials at different temperatures can be found at the following link http://www.monarchserver.com/TableofEmissivity.pdf

### References

Dan Stefanescu, Mircea Marinescu - "Termotehnica"

### Parameters

 A1 the area of the enclosed body (square meter) A2 the area of the enclosing surface (square meter) T1 the absolute temperature of the enclosed body (Kelvin) T2 the absolute temperature of the enclosing surface (Kelvin) e1 the emissivity factor of the enclosed body e2 the emissivity factor of the enclosing surface

### Returns

the radiative heat flow between the enclosing surface and the body found in its interior

### Authors

Grigore Bentea, Lucian Bentea (November 2006)
##### Source Code

Source code is available when you buy a Commercial licence.

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