Stability Analysis of Symmetrical Rotors Partially Filled with a Viscous Incompressible Fluid

Coupled Vibration of Partially Fluid-Filled Laminated Composite Cylindrical Shells

In this study, the free vibration of partially fluid-filled laminated composite circular cylindrical shell with arbitrary boundary conditions has been investigated by using Rayleigh-Ritz method. The analysis has been carried out with strain-displacement relations based on Love’s thin shell theory and the contained fluid is assumed irrotational, incompressible and inviscid. After determining the...

Asymptotic stability of Oseen vortices for a density-dependent incompressible viscous fluid

In the analysis of the long-time behaviour of two-dimensional incompressible viscous fluids, Oseen vortices play a major role as attractors of any homogeneous solution with integrable initial vorticity [8]. As a first step in the study of the density-dependent case, the present paper establishes the asymptotic stability of Oseen vortices for slighty inhomogeneous fluids with respect to localize...

Small moving rigid body into a viscous incompressible fluid

We consider a single disk moving under the influence of a 2D viscous fluid and we study the asymptotic as the size of the solid tends to zero. If the density of the solid is independent of ε, the energy equality is not sufficient to obtain a uniform estimate for the solid velocity. This will be achieved thanks to the optimal Lp − Lq decay estimates of the semigroup associated to the fluid-rigid...

Stability of Spinning Spacecraft with Partially Liquid-Filled Tanks

This paper presents general stability conditions for a spinning spacecraft with partially liquid-filled tanks by using Rumyanstev and Mclntyre methods. These methods are compared for accuracy and limitation by applying them to a specific case of a spinning spacecraft with two partially liquid-filled tanks. The stability conditions require that, for a stable motion, the spin to transverse moment...

Mathematical models of turbulent motion of an incompressible viscous fluid