Boundary Integral Formula and Its Application of Axisymmetric Stokes Flow from Orifices in a Plane Wall

摘要

The solution of the Stokes equations governing the steady incompressible slow viscous fluid flow from an orifice in a plane wall is analyzed,and a novel technique of the natural boundary element method is used instead of the traditional approaches based on the classical separation of variables technique and Fourier-Bessel expanding method. The boundary integral formulae are deduced by the natural boundary element method,which are the new analytical formulae of velocity and pressure solutions for the Stokes equation in cylindrical coordinate system. Accordingly,Stokes flow problems from orifices in a plane wall with a number of concentric circular ring orifices can be calculated by the above analytical formulae. The results illustrate that the natural boundary element method provides an efficient technique in combination with the traditional approach.