Determination of the kinetics of size variation of a single pore in a mass of a viscous material with allowance for absorption and desorption

The law of pore radius variation r=r(τ) cannot be found without taking into account the functions of concentration distribution of two gases over the thickness of the matrix Ci=C1(ρ, τ) and C2 = C2(ρ, τ). Because of this, it is proposed that the unknown functions of r, C1, and C2 be found by solving the system of three differential equations (3), (A), and (26) at the three initial conditions (8)–(10) and four boundary conditions (19), (20), (27), and (29). Depending on the nature of the matrix material and dissolving gases, the boundary conditions (27) and (29) may become transformed into the conditions (28) and (30). In dealing with a fuller model, including three or more gases dissolving in a matrix, it is necessary to solve a system of four or more equations in accordance with Eqs. (1) and (2). The necessary initial and boundary conditions can always be formulated by analogy with Eqs. (8)–(10), (19), (20), and (27)–(30).