Kalna, G. and McKee, S. (2004) The thermostat problem with a nonlocal nonlinear boundary condition. IMA Journal of Applied Mathematics, 69 (5). pp. 437-462. ISSN 0272-4960
Full text not available in this repository. (Request a copy from the Strathclyde author)Abstract
The thermostat controller for an air-conditioning system is usually placed in a position at some distance from the unit and this can lead to large swings in temperature. This paper addresses this question by studying a paradigm - a one-dimensional heat conduction equation with and without heat loss, and where the flux of heat extracted or input by the unit is considered to be a function of the temperature at the other end. The essential results are that the system can be unstable and that this is exacerbated both by a more powerful air-conditioning unit and by more efficient insulation.
| Item type: | Article |
|---|---|
| ID code: | 2179 |
| Keywords: | heat equation, nonlocal boundary condition, Volterra integral equation, Mathematics |
| Subjects: | Science > Mathematics |
| Department: | Faculty of Science > Mathematics and Statistics Faculty of Science > Mathematics |
| Related URLs: | |
| Depositing user: | Strathprints Administrator |
| Date Deposited: | 05 Jan 2007 |
| Last modified: | 04 Oct 2012 11:49 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/2179 |
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