1. Reference problem#

1.1. Geometry#

A cylindrical specimen slice with a diameter \(160\mathit{mm}\) is modelled.

Each model makes it possible to validate a diffusion coefficient.

, namely:

The coefficients used are those recommended by Granger in his thesis [bib1]:

SECH_MENSI:	\(A\mathrm{=}0.74{10}^{\mathrm{-}13}{m}^{2}\mathrm{/}s\) \(B\mathrm{=}0.05\)


SECH_GRANGER	\(A\mathrm{=}0.74{10}^{\mathrm{-}13}{m}^{2}\mathrm{/}s\) \(B\mathrm{=}0.05\) \({T}_{0}\mathrm{=}293°K\) \({Q}_{s}\mathrm{/}R\mathrm{=}4700{K}^{\mathrm{-}1}\)


SECH_NAPPE	We enter Mensi’s law in tablecloth form





SECH_BAZANT	\(\mathit{D1}\mathrm{=}3.0{10}^{\mathrm{-}10}{m}^{2}\mathrm{/}s\) \(\alpha \mathrm{=}0.04\) \(n\mathrm{=}6\) with \({C}_{0}\mathrm{=}128.8l\mathrm{/}{m}^{3}\) and \({C}_{\mathit{eq}}\mathrm{=}58.8l\mathrm{/}{m}^{3}\)

The drying calculation is carried out over a period of 5 years.

the temperature remains uniform and is \(20°C\)
we apply to \(\mathit{FE}\): \({C}_{\mathit{eq}}\mathrm{=}58.8l\mathrm{/}{m}^{3}\)

The initial conditions consist of the initial temperature, which is taken to be \(20°C\), and the initial water concentration, which is equal