Analytic solution of the Poiseuille Flow problem

Within the kinetic approach limit, in the isothermal approximation the analytical (in the form of Neumann's series) solution of the problem on flow of the rarefied gas in the flat channel with the infinite walls, caused by a pressure gradient parallel to walls (Poiseuille Flow) it is constructed. As the basic equation the BGK model of the Boltzmann's kinetic equation is used. As a boundary condition the model of diffusion reflections is used. In view of the constructed distribution function the flow of gases mass in a direction of a gradient of the pressure, falling unit width of the channel and the structure of mass speed of gas in the channel are constructed. Comparison with the similar results received Numerical method is leads.