Orateur
Description
This theoretical study examines the fluid-structure interaction between two coaxial cylinders separated by a Newtonian fluid in a turbulent axial flow. The inner cylinder is modeled as a rigid body mounted on a flexible blade, represented by a Rayleigh beam. We show that vibration modes, frequencies, instability thresholds, and mean-square displacement depend on distinct sets of dimensionless parameters, including the cylinder’s aspect ratio and the radius ratio of the fluid gap. By applying models for fluid-elastic forces and turbulent pressure, we establish stability conditions and demonstrate that the mean-square displacement of the structure scales with the square of the Reynolds number. Presented in a fully dimensionless formulation, this work is intended to guide engineers in designing small-scale experiments that simulate pressure vessel vibrations.
