In this work we present a mathematical model describing the coupled heat and moisture transport in paper. The model is solved numerically and the numerical solution is used to study the interdependency of the moisture and temperature distribution in paper. The results show that variation with temperature of the saturated water vapor concentration and the sorption isotherm parameters are both important for inducing moisture desorption. It is also found that for steep relative humidity ramps moisture sorption generates temperature increments that slow down the sorption process itself. The model is also used to study the moisture gradients in a paper sheet inside a printer from Océ Technologies, which contains a warm print surface. The results predict changes in moisture content of only 0.2%, which suggests that no deformations are induced on the printed sheet.
Marin Zapata, P. A., Fransen, M. A. L. J., Thije Boonkkamp, ten, J. H. M., & Saes, L. H. (2013). Coupled heat and moisture transport in paper with application to a warm print surface. Applied Mathematical Modelling, 37(12-13), 7273-7286. https://doi.org/10.1016/j.apm.2013.02.032