Abstract

After a few basic remarks, equations of unsteady slow of second-order incompressible fluids are given for the axifymmetrical case. The solution is worked out to give the expression of velocity and discharge, when the hydraulic slope represents any periodic function of time; the average energy dissipated in a period is also calculated. Particularly, when the hydraulic slope reduces to the expression a sin σt+b cos σt only, the dependence of pressure on r is also given, and it is recognized and emphasized that some components of the stress tensor oscillate with a frequency which is twice the frequency of motion.

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