An application of the Chebyshev polynomials for the calculation of a rarefied gas flow in the cylindrical geometry of the channels

A rarefied gas flow trough a long circular tube due to pressure and temperature gradients is studied on the basis of the BGK model kinetic equation using a collocation method by the Chebyshev polynomials and rational Chebyshev functions in the whole range of the Knudsen number covering both free molecular regime and hydrodynamic one. The mass flux is calculated as a function of the pressures and temperatures on the tube ends.