Abstract
WHILE investigating the temperature distribution along a thin-walled tube heated by passing an electric current through it in vacuowe had naturally to calculate the radiative transfer of energy occurring in the hollow core of the tube1. Taking the tube to be a circular cylinder of diameter D, and considering an annular ring of width dx, the net gain in energy by the ring due to radiative transfer can be readily calculated. If the ring is not too near the ends, this is found to be equal to : which may be expressed in the form: where σ is Stefan's constant of radiation, and the emissivity of the walls is taken to be unity. It is as though the hollow core had a thermal conductivity of magnitude :
This is a preview of subscription content, access via your institution
Access options
Subscribe to this journal
Receive 51 print issues and online access
$199.00 per year
only $3.90 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
References
Proc. Roy. Soc. (in the press).
Bosworth, R. C. L., “Heat Transfer Phenomena”, 60 (John Wiley, New York, 1952). The expression given by Bosworth corresponds to 4/3 σl0T 3, which is due to his taking the density of radiational energy per unit volume as σT 4/c, whereas actually it should be four times this.
Casimir, H. B. G., Physica, 5, 595 (1938).
Berman, R., Simon, F. E., and Ziman, J. M., Proc. Roy. Soc., A, 220, 176 (1953).
Maxwell, J. C., Phil. Trans. Roy. Soc., Part 1, 332 (1879); or “The Scientific Papers of James Clerk Maxwell”, 708.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
KRISHNAN, K., SUNDARAM, R. Radiative Transfer of Energy in the Core of a Heated Tube. Nature 188, 483–484 (1960). https://doi.org/10.1038/188483a0
Issue Date:
DOI: https://doi.org/10.1038/188483a0
Comments
By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.