Two-dimensional Model and Numerical Method for Nonlinear Standing Waves in Axisym metric Resonators
In order to acquire the distribution of nonlinear standing waves pressure on the cross-section of axisym metric resonator, we develop a two-dimensional model and a numerical solution method in this paper. At the same time, the two-dimensional model is useful to gas sealing with high acoustic pressure. The twodimensional model is set up based on the conversation of mass law, gas momentum conservation equation and the ideal gas law. Then, the model equations are solved numerically based on Finite Volume Method (FVM). Numerical simulation results are shown for two kinds of axisymmetric resonators, cylindrical and conical resonator. Distribution of pressure is present for these resonators. Shock wave appears in the cylindrical resonator. Standing wave overpressures in excess of 9％ of ambient pressure are obtained. Compared with the cylindrical resonator, no shock wave appears in the conical resonator. The overpressures are in excess of 18％ of ambient pressure. These results agree with the experimental results and theoretical analysis.
two-dimensional resonator axisymmetric stoning wave
Ning Fangli Wang Kang
School of Mechanical Engineering Northwestern Polytechnical University Xian, P. R. China
国际会议
长春
英文
68-71
2010-08-24（万方平台首次上网日期，不代表论文的发表时间）