This paper presents a two-dimensional model to study the heat and moisture transfer through porous building materials. Dynamic and static coupled models of heat and moisture transfer in porous material under low temperature are presented and the coupled models together with variable initial and boundary conditions have been considered in an analytical way and using the finite element method. The resulting coupled model is converted to two nonlinear partial differential equations, which is then numerically solved by an implicit iterative scheme. The numerical results of temperature and moisture potential changes are compared with the experimental measurements available in the literature. Predicted results demonstrate validation of the theoretical model and effectiveness of the developed numerical algorithms. It is expected to provide useful information for the porous building material design based on heat and moisture transfer model.
 Abahri K, Belarbi R, Trabelsi A. Contribution to analytical and numerical study of combined heat and moisture transfer in porous building materials. Build Environ 2011;46:1354-1360.
 Chang W, Weng C. An analytical solution to coupled heat and moisture diffusion transfer in porous materials. Int J Heat Mass Tran 2000;43:3621-3632.
 Younsi R, Kocaefe D, Kocaefe Y. Three-dimensional simulation of heat and moisture transfer in wood. Appl Therm Eng 2006;26:1274-1285.
 Luikov AV. Systems of differential equations of heat and mass transfer in capillary-porous bodies. Int J Heat Mass Tran 1975; 8:1–14.
 Luikov AV. Heat and mass transfer in capillary-porous bodies. Oxford: Pergamon Press; 1966. chap. 6.
 Thomas HR, Morgan K, Lewis RW. Afully monolinear analysis of heat and mass transfer problems in porous media. Int J Numer Meth Eng 1980;15:1381-93.
 Ribeiro JW. Complete and satisfactory solutions of Luikov equations of heat and moisture transport in a spherical capillary-porous body. Int Commun Heat Mass 2000;27:975-84.
 Thomas HR, Lewis RW, Morgan K. An application of the finite element method to the drying of timber. Wood Fiber 1980;11(4):237-43.
 Liu JY, Cheng S. Solution of Luikov equations of heat and mass transfer in capillary porous bodies. Int J Heat Mass Tran 1991;34:1747-54.
 Qin M, Belarbi R. Development of an analytical method for simultaneous heat and moisture transfer in building materials utilising transfer function method. J Mater Civil Eng ASCE 2005;17(5):492-7.
 Chiang W.C., Petersen J.N. Experimental measurement of temperature and moisture profiles during apple drying. Dry Technol 1987;5(1):25–49.
 Hussain M.M., Dincer I. Numerical simulation of two-dimensional heat and moisture transfer during drying of a rectangular object. Numerical Heat Transfer A 2003; 43:867–878.