水力发电学报2025，Vol.44Issue(3)：76-86,11.DOI:10.11660/slfdxb.20250307
射流表面黏附液滴变形的倒向随机微分方程
Backward stochastic differential equations for deformation of attached droplets on jet nappe surface
摘要
Abstract
Aimed at a scientific consideration of the dynamic mechanism of droplet deformation on the surface of a jet nappe,this paper presents new backward stochastic differential equations describing the movement and deformation of droplets on the nappe surface with the final droplet state specified,and examines what initial conditions can develop into this final state.The results show that during the deformation of a single adhesive droplet on the nappe surface,its stretching probability is about 50%.Droplet forming has four deforming modes:long-axis stretching,short-axis stretching;long-axis stretching,short-axis shrinking;long-axis shrinking,short-axis stretching;long-axis shrinking,short-axis shrinking.Their probabilities are 18.9%,31.2%,18.7%and 30.5%,respectively.In the process of droplet group stretching,the droplets will undergo short-axis shrinking,which means a tendency for them to fragment.A variation in the evolving time into the final state,or the final state's droplet morphology or long-axis growth rate,would not change this droplet group trend.The results of this study are of great significance for exploring droplet deformation process,and provide a new method for mathematical description of the deformation.关键词
射流/黏附液滴/变形/脉动速度/倒向随机微分方程Key words
jet/adhesive droplets/deformation/fluctuating velocity/backward stochastic differential equation分类
水利科学引用本文复制引用
赵腾飞,张华..射流表面黏附液滴变形的倒向随机微分方程[J].水力发电学报,2025,44(3):76-86,11.基金项目
国家自然科学基金项目(52279065) （52279065）
