| Summary: | 碩士 === 中原大學 === 機械工程研究所 === 82 === Researches of the stability of film flow have been motivated by
industrial application in film coating, or interphase heat and
mass transfer process in chemical technology and energetics.
This paper is to investigate the linear stability of power-law
liquid film flows down an inclined plane. The method of
integral is used to derive non-linear evolution equations of
film thickness and flow rate. After linearizing the non-linear
evolution equations, the method of normal mode is applied to
study its linear stability. The results reveal that , in the
cause of fixing the value of power-law expoent n, the stability
characteristics in terms of generalized Reynolds number Re and
generalized Weber number We are the same as those of Newtonian
liquids, i.e., to increase the Reynolds number, or to decrease
the Weber number will destabilize the film flow system.
Furthermore, if only decreasing the magnitude of n will cause
the film flow more unstable, and make the dimensional wave
speed of the unstable mode more faster.
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