9853

Energy Transfer between Two Blackbodies

This Demonstration investigates radiation between two surfaces (shown in green and black) that are approximated as blackbodies. Blackbodies lose energy as a result of emission, but all incident radiation is absorbed. The blackbodies are maintained at a constant temperature by using electric heaters; otherwise, their energy would radiate away to the surroundings. You can choose between three arrangements: two parallel plates, two perpendicular walls, or two parallel cylinders. The view factor is calculated, along with the rate at which radiation leaves the green surface and is intercepted by the black surface. You can change distance parameters for each scenario, and the resulting arrangement is shown inside the plot, which shows the rate of heat transfer as a function of the temperature of the green surface.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

The view factor, , is defined as the fraction of the radiation leaving the green surface that is intercepted by the black surface. The different view factors for each situation are shown below. Let be the rate of heat transfer from the green surface to the black surface.
Two plates:
Two walls:
= length of green wall
= length of black wall
Two cylinders:
=
=
Stefan–Boltzmann constant
= area of green surface
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.









 
RELATED RESOURCES
Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2014 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+