弹性管内无粘流体的非线性波动  

Nonlinear Waves of Inviscid Fluids in an Elastic Tube

作　　者：孙明光[1] 吴春亮[1] 徐翔[1] 詹杰民[1] 

机构地区：[1]中山大学应用力学与工程系,广东广州510275

出　　处：《中山大学学报（自然科学版）》2001年第5期6-8,共3页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金资助项目(1980203)

摘　　要：研究弹性管内无粘流体的非线性波动，当弹性直管中存在局部凸块时，导出其双向传播的修正Ｂｏｕｓｓｉｎｅｓｑ方程及单向传播的修正ＫｄＶ方程．用数值法计算修正ＫｄＶ方程的解，结果发现：波动峰值在经过凸块后有降低的趋向．The nonlinear waves of inviscid fluids in an elastic tube are studied. The modified Boussinesq equation for bilateral propagation, and modified KdV equation for unilateral propagation are derived for existing convex in the straight tube. The results are obtained by numerical method for modified KdV equation. It is found that the peak of waves decreases after the local convex.

关 键 词：非线性波动 KDV方程 弹性管 局部凸块 

分 类 号：O353.1[理学—流体力学]