Deformation model of water surface tensioned film under magnetic field

Journal Information

J. Hefei Univ. Tech. (Nat. Sci.), Sept.2025, Vol.48 No.9: 1250-1258

DOI: 10.3969/j.issn.1003-5060.2025.09.015

Authors

LYU Nan $ ^{1} $, CHEN Minghao $ ^{2} $, ZHOU Dongyi $ ^{3} $, PAN Gang $ ^{1} $

(1. School of Physics, Hefei University of Technology, Xuancheng 242000, China; 2. School of Mechanical Engineering, Hefei University of Technology, Xuancheng 242000, China; 3. School of Civil and Hydraulic Engineering, Hefei University of Technology, Xuancheng 242000, China)

Abstract and Keywords

Abstract: As a diamagnetic fluid, water will appear surface depression under the external magnetic field. In this paper, the equation related to surface and interface was coupled with hydromechanical equation to construct the mechanical model for the deformation of surface tensioned film of water under magnetic field. The shooting method was utilized to calculate the numerical solution for the ring sag model proposed in this paper through MATLAB, and the result was simulated by COMSOL. The improved total reflection measurement method was utilized to measure the value of surface deformation. The experimental value is in agreement with the result of the theoretical model, which proves the correctness of the model.

Keywords: diamagnetism; fluid; surface and interface; shooting method; tiny curvature

作者信息

吕楠 $ ^{1} $，陈明昊 $ ^{2} $，周东一 $ ^{3} $，潘刚 $ ^{1} $

（1. 合肥工业大学物理学院，安徽宣城 242000；2. 合肥工业大学机械工程学院，安徽宣城 242000；3. 合肥工业大学土木与水利工程学院，安徽宣城 242000）

摘要和关键词

摘要: 水作为一种抗磁性流体, 在外界磁场作用下会产生表面凹陷。文章利用表面与界面学及流体力学相关方程耦合求解, 对水在磁场作用下表面张力膜的形变问题进行力学模型构建; 提出“环凹陷模型”, 并利用“打靶法”通过 MATLAB 软件求解该模型的数值解, 同时利用 COMSOL 软件对最终结果进行仿真模拟; 最后利用改进的全反射测量法对水面形变数值进行测量并验证。结果表明, 文章所构建的理论模型与求解算法结果相吻合, 证明了该模型的正确性。

关键词: 抗磁性；流体；表面与界面；打靶法；微小曲率

Funding

安徽省科技重大专项资助项目（202203a05020009）；移动通信国家重点实验室资助项目（2023D05）；安徽省级教育教学改革研究资助项目（2022jyxm1248）和大学生创新创业训练计划资助项目（S202210359327）

合肥工业大学学报(自然科学版)

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