Mathematical Model of Heat Transfer Within Multi-layered Wall

Abstract

This research aims to study the heat transfer within multi-layered wall by using a mathematical model that has one - dimensional heat equation in a non-dimensional form. The heat transfer equation was used to describe the heat transfer from outer surface to the inner surface of the wall by going through each layer of the wall with made of different materials including cement, lightweight concrete and bricks. The equation was used to evaluate the temperature of different configurations of wall comprising two layers, four layers and five layers of wall respectively. The results indicated that the temperature of two layers of wall with the brick located inner side and lightweight concrete as an outer side and the lightweight concrete located inner side and brick as an outer side, are significantly equal. For the total heat transfer rate, in case of four layers and five layers of wall were calculated by comparing the temperature profile at 5 minute 15 minute 30 minute 45 minute 1 hour 1.5 hour 2 hour 2.5 hour and 3 hour respectively. Also, the obtained results of this research from using mathematical models could confirm that the thermal conductivity of the material made of the cement has the highest thermal conductivity compared to another materials.