Elsevier

Physica B+C

Volume 83, Issue 2, June 1976, Pages 209-219
Physica B+C

Monte-Carlo of molecular flow through a cylindrical channel

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Abstract

Molecular flow in a cylindrical channel is investigated with a Monte-Carlo method by tracing the random walk of the molecules in the channel. The angular distribution of the molecules leaving the channel is calculated by using the wall collision rate as an intermediate result. The Monte-Carlo wall collision rate is compared with a linear and a cubic approximation to wall collision rate, calculated by DeMarcus and Neudachin with a variational method. For short channels the linear approximation gives a satisfactory description of the Monte-Carlo results for the angular distribution, for long channels deviations of a few percent occur at small angles. Using the cubic approximation will decrease these deviations to less than one percent.

The distribution of the transmitted reflected molecules with respect to the number of wall collisions in the channel is calculated. These collision number distributions help to achieve insight in the perturbation of the flow by nonideal conditions as adsorbing walls.

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