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.
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- l, R:
length and radius of membrane
characteristic pore size
- r0 :
radius of straight channel
- N, rs :
number of channels of model set of capillaries per unit area of the porous medium and their radius
mean free path length
- ūiz ch, ūiz p, ūiz 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
- mi, di :
mass and diameter of molecules of the i-th component
- ci :
concentration of i-th component of mixture
- η12, ηi :
viscosity of mixture and its i-th component, respectively
- D12, σ:
mutual diffusion coefficient and diffusional-slip coefficient
- Sch, SP, SM :
cross-sectional area of channel, porous medium, and membrane
- Qch, QP, QM :
volume flow rate of gas mixture through channel, porous medium, and membrane
- Qe :
experimental volume flow rate of gas mixture
- KnP, Knch :
Knudsen number in pores and in channel
- δ12P, δ12 ch :
inverse Knudsen number in pores and in channel
- Δpm, tm :
maximum magnitude of baric effect and time for its attainment
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V. D. Seleznev, Inzh.-Fiz. Zh.,41, No. 4, 702–707 (1981).
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S. K. Loyalka, Phys. Fluids,14, 2599–2609 (1971).
K. Cherchin'yani, Theory and Application of Boltzmann Equation [in Russian], Moscow (1978).
S. V. Belov, Porous Metals in Mechanical Engineering [in Russian], Moscow (1981).
P. E. Suetin and V. D. Seleznev, in: Diffusion in Gases and Liquids [in Russian], Alma-Ata (1972), pp. 37–44.
S. F. Borisov, B. A. Kalinin, B. T. Porodnov, and P. E. Suetin, Prib. Tekh. Éksp., No. 4, 204–210 (1972).
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 54, No. 5, pp. 725–732, May, 1988.
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Ivakin, B.A., Malakhin, V.M., Porodnov, B.T. et al. Motion of a binary gas mixture in a porous membrane with a straight channel. Journal of Engineering Physics 54, 480–486 (1988). https://doi.org/10.1007/BF00872563
- Statistical Physic
- Path Length
- Pore Diameter
- Free Path
- Porous Membrane