水力发电学报2025，Vol.44Issue(8)：11-19,9.DOI:10.11660/slfdxb.20250802
椭球形水滴随机运动的数学模型
Mathematical model of random motion of elliptical water droplets
摘要
Abstract
Aiming at the issue of the random motion characteristics of water droplets in a wind field,we formulate a hypothesis that the steady-state deformation of water droplets is ellipsoidal,and uses white noise to describe the randomness of the windward area caused by changes in relative wind speed and water droplet motion posture.A stochastic differential equation is worked out for the motion of ellipsoidal water droplets;their motion shape and drift distance are tested to verify the correctness of this new model.We apply it to calculations of the dispersion coefficients of water droplets under different conditions.The results show that for ellipsoidal droplets in motion,their random effects-produced by the random forces of a large number of air molecules and the changes in their windward area-are directly proportional to their Froude number.关键词
泄洪雾化/椭球形水滴/迎风面积/随机微分方程/白噪声Key words
flood discharge atomization/ellipsoidal water droplets/windward area/stochastic differential equation/noise intensity分类
建筑与水利引用本文复制引用
张华,周意恒,徐泽辉..椭球形水滴随机运动的数学模型[J].水力发电学报,2025,44(8):11-19,9.基金项目
国家自然科学基金项目(52279065) （52279065）
