P. Perre et Bk. May, A numerical drying model that accounts for the coupling between transfers and solid mechanics. Case of highly deformable products, DRY TECHNOL, 19(8), 2001, pp. 1629-1643
Derived from a previous version of TransPore, the numerical model presented
in this work has been developed in order to describe the drying of porous
media that undergo large deformations due to shrinkage. For such products,
the change of geometrical shape has to be taken into account to solve the b
alance equations. The initial product shape is described using triangular e
lements. From this classical FE mesh, Control Volumes are built and used to
solve heat and mass transfer equations, while the initial FE mesh is used
to solve the mechanical problem. Due to large shrinkage values, non-linear
problems arise from the large strain field generated during the process. In
order to overcome this difficulty, the constitutive law is written on a lo
cal intermediate configuration in which rotation is chosen to oppose the ro
tation appearing in the polar decomposition of the deformation gradient ten
sor. One typical example is presented for potato. This product has its most
part of shrinkage within the domain of free water. Consistently, the sampl
e shape varies significantly although free water remains available at the e
xchange surface. Paradoxical results can be obtained when simulating low co
nvective drying of this product: a decreasing drying rate flux is exhibited
during the first drying period. This paradox, which has also been observed
during experiments, is obviously due to the reduction of the exchange surf
ace.