and M. Loganathan.2012. Measured and predicted temperatures in a grain processing building under heat treatment -2. Mathematical modeling of heat and mass transfer during heat treatment. Canadian Biosystems Engineering/Le génie des biosystèmes au Canada 54:3.9-3.17. Heat treatment to control pest insects in grain processing facilities is becoming more widely used because the fumigant methyl bromide has generally been phased out due to its atmosphere ozone-depleting characteristics. Models with finite difference method, using realistic boundary conditions, were developed to predict the heat and mass transfer that occurred on a concrete floor, in the presence and absence of grain, inside a heattreated building. Temperatures measured every 2 min at 0.5 m below the ceiling and 0.05 m above the bare concrete floor and room relative humidity (RH) were used to model temperature and water loss inside wheat and oats. Temperatures on the surface of the concrete floor and in the grain measured every 2 min during the heat treatment were used to verify and validate the developed models. The maximum and minimum residues between the measured and predicted temperatures of the concrete floors under grain were 3.2°C and -2.8°C, respectively. The larger residues were mostly located at the beginning of the heat treatment. After concrete floor temperatures reached 25°C, the residues between the measured and calculated temperatures of concrete floors under grain were less than ±1°C. These residues were also less than the differences between the temperatures measured in different replicates.The temperature of concrete floor was simulated under the following assumptions: 1) continuous heating of the building for 36 h; and 2) wheat and oats at 11.0, 13.0, or 15.0% moisture contents with 0.01, 0.05, or 0.10 m thickness evenly covering a 0.35 m diameter area on the concrete floor. Simulation results showed that: 1) the temperature of the concrete floor could reach 50°C after 30 h heat treatment; 2) moisture content of the grain could make about 2.5°C difference to the concrete floor temperature; and 3) cleaning before heat treatments should be sufficient to have residues of no more than 0.01 m thick of grain or grain products on floors. Kew words: Heat treatment, grainprocessing building, temperature, mathematical modeling.Le traitement thermique pour contrôler les insectes nuisibles dans les installations de transformation des céréales est de plus en plus utilisé car la fumigation au bromure de méthyle se voit progressivement abandonnée en raison de son potentiel à endommager l'ozone atmosphérique. Des modèles utilisent une méthode aux différences limitées, et des conditions aux limites réalistes, ont été développés pour prédire le transfert de chaleur et de masse qui s'est produit sur un plancher de béton, avec et sans céréales, à l'intérieur d'un bâtiment, pendant un traitement thermique. Les températures mesurées toutes les 2 minutes à 0,5 m en dessous du plafond et à 0,05 m au-dessus du plancher nu en béton et l'humidité relative de ...