Temperature Distribution in a Hollow Cylindrical Cup with a Stem
Open Access
- 1 February 1962
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 33 (2) , 629-633
- https://doi.org/10.1063/1.1702478
Abstract
An approximate analytical approach for determining the temperature distribution in a hollow cylindrical cup of radius C, having a base thickness H, with a stem of radius A, and length L, is given. The outer radial surface of the cup is held at a temperature T0 and the temperature at the bottom of the stem is Ts. All other surfaces are adiabatic. This geometrical arrangement is used to observe marker motion under the influence of a large thermal gradient in a thermal diffusion experiment described in the following paper. In this setup, only the sink temperature Ts and the temperature at the bottom of the cup Tm can be measured. Equations are presented which enable one to calculate the temperature and its gradient along the axis of this arrangement with relative ease for the physically important case A/C<¼. In the region along the axis above the cup‐stem interface, the temperature at any point is given in terms of Tm, Ts, and functions which depend only upon the ratio A/H. A table of these functions is presented for the cases πA/H=0.4, 0.8, and 1.2.This publication has 1 reference indexed in Scilit:
- Diffusion of Au and Cu in a Temperature GradientJournal of Applied Physics, 1962