Study On The Coupling Effect Between Permeable Shell And Ideal Fluid

With the development of science and technology,fluid solid coupling has been applied in many fields,such as petrochemical industry,biological engineering,shipbuilding,machinery and national defense industry.More and more attention has been paid to the study of fluid solid coupling at home and abroad.However,the theoretical research on permeable shell and fluid coupling problem is still relatively slow progress,the existing research results are not many,so the study on this aspect can have great development space.In this paper,based on the fluid mechanics and elastic mechanics,the coupling problem between the permeable shell and the ideal fluid is studied;application compatibility establishment of equilibrium equation of permeable shell Lagrange Euler method,the perturbation potential function and pressure function are solved.It is assumed that the holes are uniformly distributed and the area of the hole is very small,which will not cause the change of the bending stiffness and the external flow field.The application of Lagrangian-Eulerian method to solve the compatibility of permeable spherical shell and ideal incompressible fluid interaction when the deformation problem.According to the given conditions,the deflection function is established,and the expression of the deformation of the permeable spherical shell is solved by using the mass conservation equation.The range of seepage parameters is analyzed by the expression of deflection.Through specific examples,the influence of the permeability parameter,the radius of the spherical shell and the thickness of the spherical shell on the deformation of the spherical shell is analyzed.The influence of the ideal fluid and the permeable spherical shell on the external pressure and the velocity of the flow field are analyzed.Compatibility method is used to study the deformation problem of an ideal incompressible fluid flow around a Permeable simply supported elastic box plate.The deflection function is given according to the boundary conditions,and the expression of the internal pressure and deformation of the simply supported elastic plate is solved by using the expansion function of the Taylor series,the quadratic function and the mass conservation equation.Through the concrete example,the influence of the length,thickness and permeability parameter of the box board on the deformation of the elastic plate and the stress of the box plate are analyzed.The velocity of the flow field near the box plate and the pressure change of the external pressure of the permeable simply supported elastic box plate are analyzed.