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Diffusion model for Knudsen-type compressor composed of periodic arrays of circular cylinders
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56.For the present geometry, the velocity distribution function is generally discontinuous on the cylinder surface for the molecular velocity tangential to the surface. This discontinuity propagates into the gas along the characteristic of Eq. (83) and may reach the location of the junction. Therefore, precisely speaking, condition (90) is not applied across such a discontinuity in the gas. But even in this case, each limiting value in Eq. (90) should be continuous along the characteristic.
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