EXACT SOLUTIONS FOR OSCILLATING MOTION OF A SECOND-GRADE FLUID ALONG AN EDGE WITH MIXED BOUNDARY CONDITIONS

Abstract

Exact solutions corresponding to the oscillating motion of a second-grade fluid along the inside of an edge are established by means of integral transforms. The motion of the fluid is due to the walls of the edge. One of them applies an oscillating shear to the fluid and the other one is subject to an oscillatory motion in its plane. The solutions that have been obtained are presented in the form of simple and multiple integrals and satisfy all imposed initial and boundary conditions. Finally, some characteristics of the fluid motion, as well as the influence of Reynolds number on the velocity, are graphically underlined.