Tangential Shear Stress under the Periodic Flow of a Viscoelastic Fluid in a Cylindrical Tube

— The problem of investigation of unsteady tangential shear stress under the periodic laminar flow of a viscoelastic fluid in a cylindrical tube is considered on the basis of the Maxwell model. Formulas for the dynamic-response and frequency characteristics are obtained. The effect of the oscillation frequency, the acceleration, and the relaxation properties of fluid on the tangential shear stress is studied by means of numerical experiments. It is shown that the viscoelastic properties of fluid, as well as its acceleration, act as the limiting factors for using the quasi-stationary approach.