Abstract

SEN, Mihir. Effect of Walls on Synchronization of Thermostatic Room-Temperature Oscillations. Ingenier. mecáni. tecnolog. desarroll [online]. 2012, vol.4, n.3, pp.81-88. ISSN 1665-7381.

Thermostatic control with hysteresis causes temperature fluctuations in rooms that are being heated or cooled. Usually there are upper and lower temperature limits at which the heater or cooler cuts out. Simple first-order lumped parameter models can predict the dynamic behavior of such systems. However, the presence of adjacent walls greatly influences the temperature oscillations in a room. The walls store more than 100 times the internal energy of the air, but it is the air that is monitored and that is heated or cooled. In this work a mathematical model that takes into account the presence of the wall is developed. The model is for an arbitrary number of rooms in the form of a ring. Detailed numerical solutions are shown for a small number of rooms both with and without energy storage in walls. A perturbation analysis helps in understanding the physics of the process.

Keywords : Synchronization; oscillations; thermostatic control.

        · abstract in Spanish     · text in Spanish     · Spanish ( pdf )