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. 2023 Jun 7;15(12):2600. doi: 10.3390/polym15122600
D is the diffusion coefficient.
r, z are radial and axial cylindrical coordinates.
t is time.
R is the radius of a cylindrical specimen.
l is the specimen length.
U (r, z, t) is the moisture concentration at a sample point with cylindrical coordinates r, z at time t.
Q 0 is the initial moisture content in the specimen.
Q is the equilibrium moisture content in the specimen.
φ (r, z) is the initial moisture concentration in the specimen.
U 0 is the border moisture concentration.
is the Laplace operator.
r, z is the Laplace operator in a cylindrical coordinate system without an angular component.
α, λ, μ are the eigenvalues of operators.
J 0 is a zero-order Bessel function.
γk is the k-root of the zero Bessel function.
A, B, and C are constants.
U¯t is the average moisture concentration in a specimen at time t.
Q (t) is the mass of moisture in a specimen at time t.
F 0 is the Fourier criterion.
Wt is the relative moisture content in the specimen at time t.
Pt is the sample weight at time t.
P 0 is the initial sample weight.
σ* is the material strength.
E is the elastic modulus.