Temperature Models for Ware Hall
Author(s): J. K. Denny and C. A. Yackel
The College Mathematics Journal, Vol. 35, No. 3 (May, 2004), pp. 162-170
Published by: Mathematical Association of America
Stable URL: http://www.jstor.org/stable/4146891
Tag: First order equations, higher order linear equations and linear systems
Summary: The authors use elementary differential equations to model the heating, ventilation, and air conditioning of a building. The floor of the building consisted of four faculty offices and a computer lab. The temperature in the computer lab, controlled by a single thermostat in one of the office, was typically very warm during the summer while the offices were quite cool. The authors model the temperature using Newton’s law of cooling together with a mixing model for the different rooms.
Review by Thomas W. Judson, Stephen F. Austin State University, March 16, 2013.