F211 共鳴管内の高レイノルズ数の音響流の数値解析

概要

論文の詳細を見る
When a standing wave is excited in a two-dimensional rectangular box, acoustic streaming of Rayleigh type is induced outside the acoustic boundary layer. The two-dimensional incompressible Navier-Stokes equations with no external force are used as the governing equations for the streaming velocity, which is defined by a time-averaged mass flux density vector. The steady velocity component at the outer edge of acoustic boundary layer, which induces Rayleigh type streaming, is employed as the boundary condition. By using a finite-difference method, the behavior of streaming with large Reynolds number is numerically clarified : (i) when the Reynolds number is not large, the classical steady flow is induced; (ii) when the Reynolds number becomes large (typically 1000) in relatively wide boxes, the classical steady solution becomes unstable and a pair of new steady solutions are obtained; (iii) when the Reynolds number becomes large (typically 2000) in narrower boxes, the flow field regularly or irregularly oscillates and no steady solution is found.
日本流体力学会の論文
2001-07-31