caa a22 4500 463163125 CHVBK 20180406164753.0 cr unu---uuuuu 170326e20070101xx s 000 0 eng 10.1007/s11242-006-9021-3 doi (NATIONALLICENCE)springer-10.1007/s11242-006-9021-3 The vapour-liquid interface and stresses in dried bodies [Elektronische Daten] [Stefan Kowalski, Andrzej Rybicki] The paper presents a contribution to modelling the problem of vapour-liquid interface receding into dried body and stresses induced by drying of capillary-porous bodies. A complex algorithm comprising the specific mechanisms of drying in the first and second periods of drying is constructed. It enables calculation and drawing of the body temperature and drying curves for the whole drying process and identification of the vapour-liquid interface receding into the body. The drying induced stresses caused by the receding vapour-liquid interface and the non-uniform distribution of moisture content and/or temperature are analyzed. Numerical calculations of the temperature and drying curves and the drying induced stresses are carried out for the example of a finite dimensional kaolin cylinder dried convectively. Springer Science+Business Media B.V., 2006 Convective drying nationallicence Vapour-liquid interface nationallicence Drying induced stresses nationallicence Modelling nationallicence Numerical calculations nationallicence a : Reciprocal of relaxation time [1/s] nationallicence A : Elastic bulk modulus [MPa] nationallicence c v : Specific heat [J/kg·K] nationallicence c T : Coefficient of thermodiffusion [m2/s2·K] nationallicence c X : Coefficient of diffusion [m2/s2] nationallicence D T : Thermal diffusivity [m2/s] nationallicence e ij : Strain deviator [1] nationallicence f ( X l ) : Moisture transport parameter [kg·s2/m4] nationallicence g i : Gravity acceleration [m/s2] nationallicence H : Cylinder height [m] nationallicence l : Latent heat of evaporation [J/kg] nationallicence K : Elastic volumetric modulus [MPa] nationallicence M : Elastic shear modulus [MPa] nationallicence p : Pressure [Pa] nationallicence q : Heat flux [W/m2] nationallicence r , R : Cylinder radius [m] nationallicence $$\Re$$ : Specific gas constant [J/kg·K] nationallicence s , s α : Entropy, entropy of α-constituent [J/kg·K] nationallicence s ij : Stress deviator [Pa] nationallicence t : Time [s] nationallicence T : Temperature [K] nationallicence u ( u r , u z ) : Displacement vector [m] nationallicence W α : Mass flux of α-constituent [kg/m2·s] nationallicence x a , x n : Mole fractions of vapour in air [1] nationallicence x , y , z : Spatial Cartesian co-ordinates [m] nationallicence X α : Dry basis content of α-constituent [1] nationallicence Greek symbols nationallicence α m : Coefficient of convective vapour exchange [kg·s/m4] nationallicence α T : Coefficient of convective heat exchange [W/m2·K] nationallicence κ : Ratio of vapour chemical potential to that of liquid [1] nationallicence κ v : Viscous bulk modulus [Pa·s] nationallicence κ( T ) : Coefficient of thermal expansion [1/K] nationallicence κ( X ) : Coefficient of humid expansion [1] nationallicence $$\varepsilon_{ij}$$ : Strain tensor [1] nationallicence $$\varepsilon$$ : Volumetric strain [1] nationallicence σ ij : Stress tensor [Pa] nationallicence σ : Spherical stress [Pa], surface tension [N/m] nationallicence ρ, ρα : Mass density, mass concentration of α-constituent [kg/m3] nationallicence $$\hat{\rho}^{\alpha}$$ : Rate of α-constituent mass change by phase transitions [kg/m3·s] nationallicence μα : Chemical potential of α-constituent [J/kg] nationallicence η : Viscosity [Pa·s] nationallicence $$\omega$$ : Phase transition coefficient [kg·s/m5] nationallicence $$\vartheta =T-T_{0}$$ : Relative temperature [°C] nationallicence $$\theta = X^{l}-X_0^l$$ : Relative moisture content [1] nationallicence Λα : Mass transport coefficient of α-constituent [kg·s/m3] nationallicence Λ T : Coefficient of thermal conductivity[W/m·K] nationallicence Kowalski Stefan Institute of Technology and Chemical Engineering, Poznań University of Technology, pl. Marii Skłodowskiej-Curie 2, 60-965, Poznań, Poland aut Rybicki Andrzej Institute of Technology and Chemical Engineering, Poznań University of Technology, pl. Marii Skłodowskiej-Curie 2, 60-965, Poznań, Poland aut Transport in Porous Media Kluwer Academic Publishers 66/1-2(2007-01-01), 43-58 0169-3913 66:1-2<43 2007 66 11242 https://doi.org/10.1007/s11242-006-9021-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-006-9021-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kowalski Stefan Institute of Technology and Chemical Engineering, Poznań University of Technology, pl. Marii Skłodowskiej-Curie 2, 60-965, Poznań, Poland aut NATIONALLICENCE 700 1- Rybicki Andrzej Institute of Technology and Chemical Engineering, Poznań University of Technology, pl. Marii Skłodowskiej-Curie 2, 60-965, Poznań, Poland aut NATIONALLICENCE 773 0- Transport in Porous Media Kluwer Academic Publishers 66/1-2(2007-01-01), 43-58 0169-3913 66:1-2<43 2007 66 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer