Stefan-Boltzmann Law

​
heat radiation
temperature in degrees
Kelvin
Celsius
emissivity e
0.5
radiator temperature T
1800.
ambient temperature
T
c
300.
axis limits
T axis minimum
0.
T axis maximum
2500.
P axis maximum
1.2×
6
10
This Demonstration plots the radiated heat from a gray body having a given emissivity as a function of its temperature and that of its surroundings using the Stefan–Boltzmann law.

Details

Snapshot 1: domestic fireplace radiation
Snapshot 2: industrial smelter radiation
Snapshot 3: sun-like stellar radiation
This Demonstration plots the radiated heat in
W/
2
m
or
kW/
2
m
from a hot body having a given emissivity,
e
, as a function of its temperature and that of its surroundings, both entered either in °C or °K. This heat output is calculated with the Stefan-Boltzmann law,
P=σA
4
T
-
4
T
c

, where
e
is the emissivity,
σ=5.6703x
-8
10
W
-2
m
°
-4
K
is the Stefan-Boltzmann constant,
A
is the area in
2
m
(equal to 1 in this Demonstration),
T
is the radiating body temperature, and
T
c
is the ambient temperature, both in °K. The upper graphic is a schematic visual representation of the selected emissivity (not to scale).
Reference: C. J. Geankoplis, Transport Processes and Unit Operations,
nd
2
ed., Boston: Allyn and Bacon, 1983.

External Links

Stefan-Boltzmann Constant (ScienceWorld)

Permanent Citation

Mark D. Normand, Micha Peleg
​
​"Stefan-Boltzmann Law"​
​http://demonstrations.wolfram.com/StefanBoltzmannLaw/​
​Wolfram Demonstrations Project​
​Published: March 7, 2011