中文摘要：

研究了分层液膜沿加热斜面流动传热稳定性,得到了关于一般密度分布的小扰动稳定微分方程的边值问题,求解此边值问题并且给出了在特殊情况下的求解结果。最后对稳定性的影响因素如分层效应、Re数、We数、Ma数以及角度进行了分析。

英文摘要：

The stability analysis in a stratified liquid film flowing down an inclined heated plate is investigated.The boundary value problem of the stability differential equation on small perturbation for general density distribution is derived.Then,the boundary value problem is solved and the solution to the problem is obtained for a special case.The result for non-stratified is agreement with the known one.And the effects of stratification and the other factors such as Re,We,Ma on the stability of the film are analyzed.