Non Completely Fluid-filled Spin Precession Cylindrical Cavity Viscous Fluid Dynamics And Numerical Study

The dynamics and numerical study of viscous flows inside partially filled spinning and coning cylinders are investigated in this dissertation. The following is a brief summary:By means of variational principle of mechanics, the governing equations of rotating liquid-filled system are formulated. Spin-stabilized projectiles with liquid payloads may experience different types of flight instabilities caused by the fluid motion in the payload cylinder. The first type is known to occur in low viscous fluids, i.e., at high Reynolds numbers owning to resonance with inertial waves at critical frequencies. The second type originates from a forced secondary flow at arbitrary frequency and is most pronounced for fluids of high viscosity, i.e., relatively low Reynolds numbers. In this paper a method is developed that permits unified analysis of both types of instability caused by fluid motion in the payload cylinder.At last, the full and linearization of the Navier-Stokes equations are solved by a spectral collocation method to investigate the nonlinear effects on the moments caused by the motion of fluid inside the cylinder.