ぜん動流路内流れの三次元流れ解析

概要

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A peristaltic flow is solved by finite difference method. The flow in peristaltic pump is three-dimensionally by the effect of the side walls. Since the actual peristaltic flow has a secondary flow in its cross section against the streamwise direction, so the three-dimensional flow analysis should be employed. In order to solve this problem, an algorithm for the solution of the incompressible Navier-Stokes equations in three-dimensional generalized curvilinear coordinate is presented. This method uses a third-order upwind scheme for the convective term and the second-order centered difference scheme for the viscous term. The Navier-Stokes equations and Poission equation of the pressure are solved by the plane Gauss-Seidel iterative method. The high-order numerical simulation of the peristaltic flow was carried out with 81×41×41 mesh points. As results of this investigation, three-dimensional flow structure of the peristaltic flow is cleared. The velocity in the plane perpendicular to the streamwise direction show the existence of the rotating vortices.
社団法人日本機械学会の論文
1998-10-25