Stokes Problem for Second-order Liquid

Let the liquid fill the space outside the cylinder, which makes longitudinal harmonic oscillations. The resulting problem for second-order fluid has a periodic time decision. The field of velocities and pressures is found in a wide range of governing parameters - the Reynolds number and relaxation parameter. Unlike the second Stokes problem for an ordinary viscous fluid (V.I. Bukreev (1988), [7]) where the pressure is constant, in a second-order fluid it oscillates at twice the frequency. This effect can be used to identify a model which is used in describing the motion of aqueous solutions of polymers.