Transmission Probability of Cylindrical Tubes —Eighty Years History of Clausing Equation—

Abstract

  In order to caluculate the molecular transmission probability K of cylindrical tubes, Clausing proposed an equation as Fledholm integral equation of the second kind, so called Clausing equation in 1932. The values of K evalueted with variational method by Cole in 1970's are believed to be the most accurate to date. However, in recent report, the value of K from the direct numerical solution of Clausing equation seems to disagree with Cole's results, especially for the very long tubes. In this report, the methods for caluculating K discribed above are reviewed and some simple scripts of numerical tool to verify those results of K are supplied.