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Stress Generated During Drying of Saturated Porous Media

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Abstract

The article is a contribution for the modelling of heat and mass transfers coupled to strain–stress equations during drying of deformable two-phase media. Both unidirectional and bidirectional configurations are examined. In order to compare the results, one assumes the material of a convectively dried clay slab in two configurations. Numerical calculations of the temperature, drying curves variations and the spatio-temporal distributions of moisture, temperature and drying induced stresses are evaluated. A significant difference was observed between the results obtained for both configurations particularly in intensity of the shear stress that caused cracking.

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Abbreviations

C p :

Heat capacity (J kg −1  K −1)

D :

Diffusion coefficient (m 2 s −1)

H :

Width (m)

L :

Length (m)

R :

Universal gas constant (J kmol −1 K −1)

M v :

Molecular weight of water (kg kmol −1)

K m :

Mass transfer coefficient between the product and air (m s −1)

T :

Temperature (°C, K)

Re :

Reynolds number (−)

RH :

Relative humidity (−)

Pr :

Prandtl number (−)

v :

Velocity (m s −1)

w :

Moisture (kg kg d.b.)

\({\dot {m}}\) :

Rate of moisture vapourization (kg m −2 s −1)

h :

Heat transfer coefficient (W m −1  K −1)

κ :

Thermal conductivity (W m −1  K −1)

σ :

Stress tensor (Pa)

ɛ :

Strain tensor (−)

λ:

Bulk modules of elastic deformation (Pa)

μ :

Shear modules of elastic deformation (Pa)

t :

Time (s)

a w :

Water activity (−)

α :

Thermal expansion (K −1)

ρ :

Density (kg m −3)

β :

Humid expansion (−)

surf:

Surface

0:

Initial

a:

Air

s:

Solid

l:

Liquid

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Authors and Affiliations

  1. Energetic and Thermal Processing Laboratory, CRTEn, B.P. 95, 2050, Hammam-Lif, Tunisa

    D. Mihoubi

  2. National Engineers School of Monastir, 5000, Monastir, Tunisia

    A. Bellagi

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  1. D. Mihoubi
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  2. A. Bellagi
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Correspondence to D. Mihoubi.

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Mihoubi, D., Bellagi, A. Stress Generated During Drying of Saturated Porous Media. Transp Porous Med 80, 519–536 (2009). https://doi.org/10.1007/s11242-009-9378-1

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