The Study Of Capillary Flow In The Inner Corner Of Spherical Tank In Microgravity Environment

The problem of capillary flow in Microgravity environment is a fundamental research topic of spatial fluid management application technology.In order to ensure the safe and efficient operation of the spatial fluid management device,it is necessary to have a deep understanding of the characteristics of the capillary flow in microgravity environment.In this paper,the problem of capillary flow near the inner corner of spherical wall in microgravity environment is studied,and the corresponding theoretical analysis and numerical simulation is carried out.The Fluent software was used to simulate the capillary flow at the inner corner of the spherical tank,and the influence of different parameters on the flow of the inner coRNer is studied.The Concus-Finn condition of capillary flow at the inner corner of a spherical tank under microgravity was analyzed,and a conclusion was got that under the condition of Concus-Finn,the leading edge of liquid climb has no significant relation with the initial liquid height,but increases with the increase of surface tension coefficient and container center angle.Besides,with the increase of hydrodynamic viscosity,fluid density and the container radius increases,the leading edge of liquid climb decreases.Based on fluid mechanics of Navier-Stokes equation and continuity equation,the control equation of capillary flow in the inner corner of the spherical wall was established.The perturbation method was used to simplify the governing equations and boundary conditions of capillary flow,with the container wall liquid no slip and liquid free surface stress-free characteristics as a boundary condition.Based on the idea of auxiliary equation method,this nonlinear partial differential dynamics problem was transformed into the boundary value problem of ordinary differential equations.In the form of series solution,we obtained the approximate analytic solution of interior angle flow,and then got the recurrence formula of series solution.The work done in this paper can provide a theoretical basis for the design of the shape of the container required for space fluid management and the choice of fluid to be carried.