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Thermophysical and hydric properties estimation based on a double inverse analysis

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Abstract

This article presents a dual method for the determination of thermophysical and hydric properties of porous materials. First empirical relationships between thermophysical properties and moisture content were determined. Then, a laboratory setup allowed for temperature recording during a drying test. Empirical relationships and recorded data are the algorithm inputs. The two stages algorithm is based on a finite difference discretization and a parametric estimation. Autoclaved Aerated Concrete was tested in this case study and positive estimation results with 8 % accuracy are encouraging outcome for next use of the method.

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Abbreviations

C :

Volumetric heat capacity (J K−1 m−3)

D :

Moisture diffusivity (m2 s−1)

F :

Objective function

m :

Mass (kg)

m dry :

Dry mass (kg)

p :

Parameters array

T :

Temperature (°C)

t :

Time (s)

x :

Space (thickness, m)

α :

Thermal diffusivity (m2 s−1)

λ :

Thermal conductivity (W K−1 m−1)

ρ :

Density (kg m−3)

ρ dry :

Dry density (kg m−3)

ω :

Moisture content (MC) (%)

ω sat :

Saturated moisture content (%)

i :

Time index

j :

Space index

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  1. Laboratoire de Génie Civil et géo-Environnement (LGCgE), Faculté des Sciences Appliquées, Université d’Artois, Technoparc Futura, 62400, Béthune, France

    R. Derbal & D. Defer

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  1. R. Derbal
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  2. D. Defer
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Correspondence to R. Derbal.

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Derbal, R., Defer, D. Thermophysical and hydric properties estimation based on a double inverse analysis. Heat Mass Transfer 53, 1375–1389 (2017). https://doi.org/10.1007/s00231-016-1907-1

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