An Analysis On The Fluid-Solid Interaction Problem For The Cylindrical Shell With Orifices And Permeable Spherical Shell

Fluid-solid interaction mechanics is a comparatively new interdisciplinary branch of mechanics, generating from mutual cross effect between hydrodynamics and solid mechanics. Its object of study is that various behaviors and deformation of solid under the action of flow field or movement influence on flow field. The fluid-solid interaction question has all-important practical significance and value for its universality and mutuality of research, therefore now which is a relatively pop research trend internationally and many fruits have been adapted for engineering practices.This article applies united Euler-Lagrange method to analyze based on elastic thin-shell nonlinear theory and hydromechanics fundamental equations. This article establishes fluid-solid interaction fundamental equation and relational expression of cylinder shell with orifices in ideal fluid for permeable cylinder shell, assuming that the area of orifice is tiny, taking no account of resistance and neglecting influence on the flexural rigidity and mini-movement of fluid in shell; It also gives the critical condition, specifying that the better penetrability of cylinder shell in given conditions the less deformation.For the analysis of permeable spherical shell is on the premise of small Reynolds number in this study, which establishes the fundamental relational expression of fluid-solid interaction of permeable spherical shell in the fluid and solves the flow function of permeable spherical shell in viscous fluid by perturbation method, with the result that solves the deformation and internal force solution. This article gives the deformation of shell and internal force diagram by concrete example, analyzing the correlation parameters and drawing the relation curves. The deformation and change form of internal force are obtained from analyzing the change of permeability coefficient K and the flow speed. It specifies that the deformation of corresponding there angle in meridian plane of spherical shell inflow is zero. As a whole, the variousphysical quantities of cylinder shell and spherical shell got through analysis and calculation approaches steady value rapidly in place far from the shell surface.