Instability of nanofluid film flow under external electric field: Linear and weakly nonlinear analysis

doi:10.1088/1674-1056/addcc0

中国物理B ›› 2025, Vol. 34 ›› Issue (12): 124701-124701.doi: 10.1088/1674-1056/addcc0

Instability of nanofluid film flow under external electric field: Linear and weakly nonlinear analysis

Xinshan Li(李欣珊), Danting Xue(薛丹婷), Ruigang Zhang(张瑞岗), Quansheng Liu(刘全生), and Zhaodong Ding(丁兆东)^†

School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China

收稿日期:2025-03-29 修回日期:2025-05-04 接受日期:2025-05-23 发布日期:2025-12-15
通讯作者: Zhaodong Ding E-mail:dingzhd@imu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11902165, 12272188, 12102205, and 12262025), the National Science Foundation for Distinguished Young Scholars of the Inner Mongolia Autonomous Region of China (Grant No. 2023JQ16), the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region (Grant No. NJYT23098), and the Scientific Startin and the Innovative Research Team in Universities of Inner Mongolia Autonomous Region of China (Grant No. NMGIRT2208).

Instability of nanofluid film flow under external electric field: Linear and weakly nonlinear analysis

Xinshan Li(李欣珊), Danting Xue(薛丹婷), Ruigang Zhang(张瑞岗), Quansheng Liu(刘全生), and Zhaodong Ding(丁兆东)^†

School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China

Received:2025-03-29 Revised:2025-05-04 Accepted:2025-05-23 Published:2025-12-15
Contact: Zhaodong Ding E-mail:dingzhd@imu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11902165, 12272188, 12102205, and 12262025), the National Science Foundation for Distinguished Young Scholars of the Inner Mongolia Autonomous Region of China (Grant No. 2023JQ16), the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region (Grant No. NJYT23098), and the Scientific Startin and the Innovative Research Team in Universities of Inner Mongolia Autonomous Region of China (Grant No. NMGIRT2208).

摘要/Abstract

摘要： This study investigates the instability of nanofluid thin films flowing down an inclined plane under the influence of a normal electric field. Based on the long-wave approximation and a systematic asymptotic expansion, a nonlinear evolution equation is derived to capture the coupled effects of the electric field and nanoparticle properties. Linear stability analysis reveals that the electric field enhances interfacial disturbances and promotes instability, whereas the presence of nanoparticles suppresses this effect by attenuating disturbance amplitudes. A weakly nonlinear analysis further clarifies the interplay among electric field strength, nanoparticle volume fraction, and density difference, enabling a classification of nonlinear stability regimes. Numerical simulations support the analytical predictions, showing that in unstable regimes, perturbations grow over time and eventually destabilize the film. These findings offer theoretical insights into the control of nanofluid film stability via electric field regulation and nanoparticle tuning.

关键词: thin film instability, nonlinear evolution equation, nanofluid

Abstract: This study investigates the instability of nanofluid thin films flowing down an inclined plane under the influence of a normal electric field. Based on the long-wave approximation and a systematic asymptotic expansion, a nonlinear evolution equation is derived to capture the coupled effects of the electric field and nanoparticle properties. Linear stability analysis reveals that the electric field enhances interfacial disturbances and promotes instability, whereas the presence of nanoparticles suppresses this effect by attenuating disturbance amplitudes. A weakly nonlinear analysis further clarifies the interplay among electric field strength, nanoparticle volume fraction, and density difference, enabling a classification of nonlinear stability regimes. Numerical simulations support the analytical predictions, showing that in unstable regimes, perturbations grow over time and eventually destabilize the film. These findings offer theoretical insights into the control of nanofluid film stability via electric field regulation and nanoparticle tuning.

Key words: thin film instability, nonlinear evolution equation, nanofluid

中图分类号: (Surface-tension-driven instability)

47.20.Dr

47.11.St (Multi-scale methods) 47.10.A- (Mathematical formulations)

Xinshan Li(李欣珊), Danting Xue(薛丹婷), Ruigang Zhang(张瑞岗), Quansheng Liu(刘全生), and Zhaodong Ding(丁兆东). Instability of nanofluid film flow under external electric field: Linear and weakly nonlinear analysis[J]. 中国物理B, 2025, 34(12): 124701-124701.

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Instability of nanofluid film flow under external electric field: Linear and weakly nonlinear analysis

Instability of nanofluid film flow under external electric field: Linear and weakly nonlinear analysis

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