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Temperature Distribution in Three Model Houses with Different Roof Geometries

Sirikul Sirteerakul, Wiphada Chamnan, and Teera Siriteerakul
Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand
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
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