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Half-space boundary Kramers' problem about isothermal sliding of moderatedense gas with accomodation boundary conditions along a flat firm surface issolving. The new method of the solution of boundary problems of the kinetictheory is applied (see JVMMF, 2012, 52:3, 539-552). The method allows toreceive the solution with arbitrary degree of accuracy. The idea ofrepresentation of boundary condition on distribution function in the form ofsource in the kinetic equation serves as the basis for the method mentionedabove. By means of Fourier integrals the kinetic equation with a source comesto the Fredholm integral equation of the second kind. The solution has beenreceived in the form of Neumann's number.

Solution of the Kramers' problem about isothermal sliding of moderately dense gas with accomodation boundary conditions