A transient one dimensional first principles model is developed for th
e drying of a porous material (paper) that includes both heat and mass
transfer. All three modes of heat transfer are considered; conduction
, convection and radiation. The conduction is assumed to be in one dim
ension, through the porous material. The convection is assumed to exis
t only at the surface as a boundary condition. The radiation is assume
d to be a volumetric phenomenon, so that the material internally absor
bs, emits, and scatters energy. The absorption and scattering coeffici
ents are spectrally dependent. Furthermore, the material is considered
to have a non-unity refractive index with diffuse surfaces. In the ma
ss transfer it is assumed that water exists in three phases: bound, fr
ee and vapor. The results provide profiles within the material for eac
h moisture phase, temperature, and pressure and the effect of radiatio
n on these distributions.