关键词: Navier-Stokes equation, nonlinear Galerkin mixed element method, Petrov-least squares method, error estimate

Abstract: In this paper, the analytical expressions of the pressure distribution, velocity distribution and discharge of the flow between spherical surfaces are found by using the method of iterative approximate solution when the inertia terms of Navier-Stokes equations in spherical coordinates are taken into consideration. Furthermore, using these expressions, we can directly obtain the corresponding analytical expressions of the laminar radial flow between parallel disks, which are fully identical with corresponding results presented by refs. [3,4].

Key words: Navier-Stokes equation, nonlinear Galerkin mixed element method, Petrov-least squares method, error estimate