On Free Surface Oscillations of a Liquid Partially Filling a Rotating Cylinder : 2nd Report, The Calculation of Fluid Force Using Boundary Layer Approximation

Abstract

Free surface oscillations of a liquid partially filling a rotating cylinder are investigated analytically, taking the effect of viscosity near the wall into consideration. In this report, the fluid force acting on the rotating cylinder, when it is forced to move sinusoidally in the horizontal direction, is calculated by using boundary layer approximation. The results show that the fluid force consists of two components, one of which is in phase with the forcing displacement and the other is out of phase by 90 degrees with it. The results also show that the contribution of wall curvature to the calculation of the fluid force is negligible when the viscosity of the liquid is small.