摘要
利用Navier-Stokes方程和边界条件对沿加热壁面倾斜下降的特殊饱和液膜的流动和传热问题进行了描述,并建立其数学模型,再根据温度的非线性函数表达表面张力与波动之间的关系,利用摄动法导出了描述液膜流动稳定性的Orr-Sommerfeld方程。最后对方程进行了求解,分析得到了惯性力、热毛细力、蒸汽压力以及毛细压力对流动稳定性的影响。
The flow and heat transfer of the special saturated liquid film falling down an inclined heated plate were described by the N-S equation and the reasonable boundary condition. And the corresponding mathematical model was established, the relation between the surface tension and the fluctuation by nonlinear function on temperature was expressed. Then the Orr-Sommerfeld equation describing the flow stability of liquid film was obtained. Finally, the inertia force, heat capillary force, steam pressure and capillary pressure were analyzed about the influence on the flow stability.
出处
《现代物理》
2012年第2期21-24,共4页
Modern Physics
基金
国家自然科学基金资助项目:分层液膜沿非均匀受热斜面流动传热特性分析(51106132)。
