Dynamical stability analysis for a micro shell subjected to swirling annular flow including the coupling effect of small size and fluid rotation

Abstract

This paper is concerned with stability analysis for an outer thin-walled shell conveying a swirling flowing fluid in the annular space between the inner shell and outer shell with micro-dimensions. It describes the development of theoretical model in the framework of the modified coupled stress theory along with the Donnell shell theory. The theoretical model uses the Hamilton’s principle to derive the governing motion equations of the shell. The fluid is assumed to be incompressible and irrotational and the hydrodynamic pressure is considered with the version of the potential flow theory. The zero-level contour method is utilized to display the complex dynamical behaviors of micro shell subjected to swirling annular flow. The effects of the material intrinsic parameter, the fluid rotation on stabilities of the fluid microscale shell system are discussed fully. The results elucidate that the coupling effect of the fluid rotation and the material intrinsic parameter on such system.