CAJ | 학술논문

对连续分层液膜中内波的研究，既可以揭示液膜流动稳定性以及换热机理，又有助于提高液膜在工程实际中的应用。首先利用Navier-Stokes方程，建立了密度分层液膜的小振幅波数学物理模型，对模型进行了无量纲化及小振幅线性简化，利用小扰动理论，并引入流函数，得到了描述小振幅内波的控制方程及其边界条件。利用Sturm-Liouville比较定理，研究了描述液膜的波动特性的波动参数（波数、波动频率、波速）及其相互关系，得到了密度分层液膜中的小振幅内波的最大频率及最大波速值。
대련속분층액막중내파적연구，기가이게시액막류동은정성이급환열궤리，우유조우제고액막재공정실제중적응용。수선이용Navier-Stokes방정，건립료밀도분층액막적소진폭파수학물리모형，대모형진행료무량강화급소진폭선성간화，이용소우동이론，병인입류함수，득도료묘술소진폭내파적공제방정급기변계조건。이용Sturm-Liouville비교정리，연구료묘술액막적파동특성적파동삼수（파수、파동빈솔、파속）급기상호관계，득도료밀도분층액막중적소진폭내파적최대빈솔급최대파속치。
Research on internal waves in continuous stratified liquid film, which can reveal the stability of liquid film flow and heat transfer mechanism, but also help to improve the application of liquid membrane in engineering practice. First, by using the Navier-Stokes equation, the density stratified liquid film of small amplitude wave mathematical model, the model of the dimensionless and small amplitude linear simplifica-tion, the perturbation theory, and introducing the stream function, the description of small amplitude wave equation and its boundary conditions are studied. By using the Sturm-Liouville comparison theorem, the fluctuation parameters fluctuation characteristics of liquid film (described the wave number, wave frequency, wave velocity) and the relationship between the maximum frequency, small amplitude internal waves in stratified liquid medium and maximum velocity value are studied.