Temperature and moisture distributions in a moist spherical capillary-porous body?a new approach

Abstract

SUMMARYA novel technique, which is a combination of the Laplace transform and matrix calculus, is employed to obtain the exact solutions of the linearized Luikov system of coupled heat and moisture transport equations in a spherical capillary porous body addressed to speciÿed initial and boundary conditions. It is shown that under certain restrictions, in the case of convective-type boundary conditions, the transcendental equation yields a countable number of complex conjugate roots. Here, a new computational scheme is employed, which evaluates real as well as a countable number of pairs of complex conjugate roots. A set of benchmark results is generated for the Luikov drying model, and in a way better than the alternative solutions proposed by Lobo et al. [19] for linear problems.

A Diffusion-based Model for Transient High Temperature Treatment of Wood

“…At a given time, the temperature increases with the heat transfer coefficient, and it has almost no effect on the moisture characteristics. These observations are in good agreement with those observed by Pandey et al, 1999. The effect of sample size on wood temperature and average moisture content of wood are illustrated in Figure 11(a) and (b), respectively. Simulations were carried out for four different sample sizes.…”

“…At a given time, the temperature increases with the heat transfer coefficient, and it has almost no effect on the moisture characteristics. These observations are in good agreement with those observed by Pandey et al, 1999.…”