The second Stokes's problem about the behavior of rarefied gas filling half-space, when limiting the half-space the plane performs harmonic oscillations in its plane is considered. Continuum mechanics equations with the slip are used. It is shown that in quadratic in the velocity of wall approximation in gas have taken place the temperature effects due to influence of viscous dissipation. In this case there is a temperature difference between the surface of the body and the gas away from the surface.
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