Motion of a binary gas mixture in a porous membrane with a straight channel

The diffusional baric effect at a porous barrier with a straight channel is investigated theoretically and experimentally with an arbitrary ratio of the channel and pore diameter to the free path length of molecules of the gas mixture.Notation l, R length and radius of membrane - r characteristic pore size - r₀ radius of straight channel - N, r_s number of channels of model set of capillaries per unit area of the porous medium and their radius - mean free path length - _iz^ch, _iz^p, _iz^M projection of mean velocity of motion of molecules of the i-th component in the channel, porous medium, and membrane, respectively, onto the membrane axis - p, T, n pressure, temperature, and number density of mixture particles - m_i, d_i mass and diameter of molecules of the i-th component - c_i concentration of i-th component of mixture - ₁₂, _i viscosity of mixture and its i-th component, respectively - D₁₂, mutual diffusion coefficient and diffusional-slip coefficient - k Boltzmann constant - S^ch, S^P, S^M cross-sectional area of channel, porous medium, and membrane - Q^ch, Q^P, Q^M volume flow rate of gas mixture through channel, porous medium, and membrane - Q^e experimental volume flow rate of gas mixture - Kn^P, Kn^ch Knudsen number in pores and in channel - ₁₂P, ₁₂^ch inverse Knudsen number in pores and in channel - porosity - p_m, t_m maximum magnitude of baric effect and time for its attainment - V chamber volumeTranslated from Inzhenerno-Fizicheskii Zhurnal, Vol. 54, No. 5, pp. 725–732, May, 1988.