A physical model of the stationary electroosmotic fluid motion in a closed spherical shell is considered, inside of which a disk membrane with transverse cylindrical pores filled with liquid is placed. A constant electric field is applied to the faces of the membrane by means of porous electrodes. As a mathematical model, the Navier-Stokes system of equations for the stationary electroosmotic flow of a viscous incompressible fluid inside a closed solid spherical shell under the influence of an external constant electric field is used. A simplified nonlinear system of Navier-Stokes equations is considered for the case of stationary motion of an incompressible viscous fluid under the condition of constant fluid pressure. This system of equations is reduced to a dimensionless form. During the procedure of reducing the equations to a dimensionless form, the real fluid velocity was normalized relative to the electroosmotic sliding velocity determined by the Helmholtz-Smoluchowski formula. As a result of the analys