Slow viscous flow through regular arrays of cylinders and spheres

Abstract

slow viscous flow through regular arrays of cylinders and spheres is studied theoretically and the drag force exerted by the fluid on a cylinder or a sphere forming the regular array is calculated. The method used essentially consists of comparing a solution of the Stokes equations outside a cylinder or a sphere with a sum of solutions having equal singularities inside every cylinder or sphere of the regular array . For cylinders, results are given for square and tr iangular arrays for flow parallel and perpendicular to the axes of cylinders, while for spheres results are given only for a simple cubic array . Results agree well with the corresponding values reported by previous researchers, notably Hasirnoto (1959). Show more