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Updated: Sep 24, 2025

The Preparation of Electrohydrodynamic Bridges from Polar Dielectric Liquids
Published on: September 30, 2014
Influence of liquid bridge formation process on its stability in nonparallel plates
Xiongheng Bian1, Haibo Huang1, Liguo Chen1
1Robotics & Microsystem Center, Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University Suzhou 215123 China hbhuang@suda.edu.cn chenliguo@suda.edu.cn.
This study develops a new theoretical model for liquid bridge stability between non-parallel plates, incorporating liquid bridge formation dynamics. The novel equation, validated by experiments, offers improved accuracy for contact angle, contact angle hysteresis, and dihedral angle predictions.
Area of Science:
- Colloid and Surface Science
- Fluid Dynamics
- Materials Science
Background:
- Liquid bridges between non-parallel plates are common in industrial applications like printing.
- Previous stability models often neglect the liquid bridge formation process (P), leading to inaccuracies.
- Existing critical equations relating stability to contact angle (CA) and contact angle hysteresis (CAH) have limitations in certain conditions.
Purpose of the Study:
- To develop a new theoretical model for liquid bridge stability that includes the formation process.
- To derive a theoretical equation for the position of the liquid bridge (P).
- To validate the new theoretical model against simulations and experimental data.
Main Methods:
- Theoretical derivation of the liquid bridge formation equation (P).
- Combining theoretical equations for stability and formation to obtain a new critical equation.
- Extensive simulations and experimental validation of the derived theoretical equation.
Main Results:
- A novel theoretical equation for liquid bridge stability, incorporating the formation process (P), was derived.
- The new equation shows higher consistency with experimental results (error < 0.2°) compared to previous models.
- Ignoring the liquid bridge formation process (P) can lead to significant deviations (over 20%) in stability analysis.
Conclusions:
- The study provides a more accurate theoretical framework for analyzing liquid bridge stability.
- Incorporating the liquid bridge formation process (P) is crucial for precise stability predictions.
- The findings offer enhanced theoretical support for industrial applications involving liquid bridges.
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