位于两逼近竖直壁间的自由表面流体动力学问题的精确解
流体动力学
2021-08-13 v1
摘要
给出具有自由边界的理想不可压缩流体平面非定常势流经典问题的精确解。流体占据一半无限长条带，上界为自由表面，两侧为以恒定速度相互逼近的固体竖直壁。所得解针对毛细力与重力均不存在、流体运动完全由壁面运动决定的情形。解中含任意函数，可描述初始平坦水平流体表面任意形状扰动的非线性演化。考虑了对应气泡、尖点与液滴形成的精确解示例。
引用
@article{arxiv.2108.05678,
title = {Exact solutions of the problem of dynamics of a fluid with a free surface located between two approaching vertical walls},
author = {Evgenii A. Karabut and Elena N. Zhuravleva and Nikolay M. Zubarev and Olga V. Zubareva},
journal= {arXiv preprint arXiv:2108.05678},
year = {2021}
}