A transient one dimensional first principles model is developed for th
e drying of a porous material (wood is used as an example) that includ
es both heat and mass transfer. Heat transfer by conduction and convec
tion, mass transfer by binary gas diffusion, pressure-driven bulk flow
in the gas and liquid, and diffusion of bound water are included in t
he analysis. The diffusive mass transfer terms are modeled using a Fic
kian approach, while the bulk flow is modeled assuming Darcian flow. D
epending on the state (pendular or funicular) of the moisture in the w
ood, appropriate terms are considered in the development of the govern
ing mass equations. The results provide distributions within the mater
ial of each moisture phase (vapor, liquid, and bound), temperature, an
d total pressure. Information regarding the drying rate and evaporatio
n rate is also presented. Average distributions are obtained as a func
tion of time, and compared with experimental data from the literature.
It is observed that the total pressure within the material can be con
siderably above one atmosphere during the drying process.