Abstract—Steady-state temperature distribution of three model houses, each with a roof of different shape, are presented in this paper. The governing equation used was a heat conduction equation in two dimensions. The assumption made was that the houses were of closed space with no convection nor radiation. The distributions were determined by using a finite difference method (FDM) and a finite element method (FEM). They showed that different roof geometries yielded different temperature distributions. In particular, the roof with a convex shape let in less heat than the one with a standard (triangular) shape and the one with a concave shape in that order.

Index Terms—heat transfer, finite element method

Cite: Sirikul Sirteerakul, Wiphada Chamnan, and Teera Siriteerakul, "Temperature Distribution in Three Model Houses with Different Roof Geometries," Jounal of Automation and Control Engineering, Vol. 2, No. 1, pp. 71-74, March, 2014. doi: 10.12720/joace.2.1.71-74