Determination of coefficients in the analytical solution of coupled differential equations of heat and mass transfer during convective drying of heat-treated wood

Abstract

This paper describes one possible solution of temperature distribution during wood drying in the analytical form. The proposed solution of the coupled differential equations is in the form of a nondimensional expression. It was proved that the solution assumption satisfied the initial and boundary conditions. In this way, a final solution in the form of a boundless row was suggested. The coefficients in the row were determined using experimental values of the distribution of temperature of wood and before calculating the values of the coefficients of heat and mass transfer. Additionally, the values obtained for the coefficients of thermo-wood during drying and heating enable the prediction of nondimensional temperature at any place on the sample at any time.