Strathprints logo
Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

The thermostat problem with a nonlocal nonlinear boundary condition

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, Applied Mathematics
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Faculty of Science > Mathematics and Statistics > Mathematics
Related URLs:
Depositing user: Strathprints Administrator
Date Deposited: 05 Jan 2007
Last modified: 04 Sep 2014 12:16
URI: http://strathprints.strath.ac.uk/id/eprint/2179

Actions (login required)

View Item