Abstract
The problem of a hot torus left to cool in a medium of known temperature is studied. We write the governing equation in toroidal coordinates and expand the temperature in terms of a series in the angular direction. The resulting modes in the radial direction are numerically obtained. We consider both isothermal and convective boundary conditions and study the effect of Biot number and aspect ratio on the heat transfer rate.
| Original language | English |
|---|---|
| Article number | 044501 |
| Journal | Journal of Heat Transfer |
| Volume | 138 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1 Apr 2016 |
Bibliographical note
Publisher Copyright:© 2016 by ASME.
Keywords
- Biot number
- conduction
- toroidal coordinates
- torus
ASJC Scopus subject areas
- General Materials Science
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering
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