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Arlon Online Engineering Library - TechRef!

Radiation

The radiation emitted by a body is given by

     Q = epsilon sigma AT4, where

T = the absolute temperature (K or oR)
sigma = 5.67 x 10-8 W/(m2·K4)
       [0.173 x 10-8 Btu/(hr-ft2 - oR4)]
epsilon = the emissivity of the body
A = the body surface area

For a body (1) which is small compared to its surroundings (2)
       Q12 = epsilon sigma A(T14 - T24), where
Q12 = the net heat transfer rate from the body.

A black body is defined as one which absorbs all energy incident upon it. It also emits radiation at the maximum rate for a body of a particular size at a particular temperature. For such a body:

       alpha = epsilon = 1, where
alpha = the absorptivity (energy absorbed/incident energy).

A gray body is one for which alpha = epsilon, where
       0 < alpha < 1; 0 < epsilon < 1;

Real bodies are frequently approximated as gray bodies.
The net energy exchange by radiation between two black bodies, which see each other, is given by

       Q12 = F12 A1 sigma (T14 - T24), where

F12 = the shape factor; 0 <= F12 <= 1.

For any body, alpha + rho + tao = 1, where

alpha = absorptivity
rho = reflectivity (ratio of energy reflected to incident energy)
tao = transmissivity (ratio of energy transmitted to incident energy)

For an opaque body, alpha + rho = 1
For a gray body, epsilon + rho = 1

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