基于边界层理论的分层液膜非线性内波的研究Study on Nonlinear Internal Waves in the Stratified Liquid Film Based on Boundary Layer Theory
樊小朝;史瑞静;
摘要(Abstract):
从描述流体流动的Navier-Stokes方程出发,考虑壁面倾斜角度和粘性影响,利用边界层理论对方程进行了简化,再引人流函数变换,经过化简得到带粘性项的Long方程.然后利用摄动法小扰动展开,导出了分层液膜非线性内波的演化方程,最后利用数学软件编程进行了数值求解,得到了在一定密度分布特定条件下的近似解析解.
关键词(KeyWords): 分层液膜;边界层理论;非线性内波
基金项目(Foundation): 国家自然科学基金(51106132)
作者(Authors): 樊小朝;史瑞静;
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