摘要
以边界层理论为基础,考虑完整的边界条件,采用Collocation方法,推导出了以液膜厚度表示的沿倾斜壁面下降的、处于蒸发、等温和冷凝状态下普遍适用的二维表面波扰动时域演化方程。方程中考虑了雷诺数、表面张力、热毛细力、倾角、流体物性以及在蒸发、等温和冷凝条件的影响,为进一步分析上述因素在不同雷诺数下的作用,从理论上全面认识和分析液膜表面波的时域演化行为和稳定性提供一种简便可靠的物理模型。
The temporal evolution formulation of the two-dimensional waves on the evaporating or isothermal or condensing liquid films draining down an inclined wall is established for the film thickness with the collocation method based on the boundary layer theory and complete boundary conditions. This model includes the effects of Reynolds number, surface tension, thermocapillary, inclination angle, liquid property, evaporation, isothermal or condensation. Using this model, it is convenient to theoretically investigate their effects of the above factors under different Reynolds numbers, and to completely understand and analyze the temporal evolutional behavior and stability of liquid film under different conditions.
出处
《华北电力大学学报(自然科学版)》
CAS
北大核心
2002年第2期43-49,共7页
Journal of North China Electric Power University:Natural Science Edition
基金
国家教育部博士点专项基金资助(1999007902).