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Dynamic Buckling of a Filament Impacted by a Falling Droplet
Meng Lu1, Jian Deng1, Xuerui Mao2
1State Key Laboratory of Fluid Power and Mechatronic Systems, Department of Mechanics, Zhejiang University, Hangzhou 310027, People's Republic of China.
Physical Review Letters
|November 17, 2023
Summary
Liquid droplet impacts on elastic filaments cause dynamic buckling. Hydrodynamic forces are key, and the critical load is lower for droplets than solid objects, revealing distinct buckling modes.
Area of Science:
- Fluid dynamics
- Solid mechanics
- Nonlinear dynamics
Background:
- Investigating the dynamic response of elastic structures to impact is crucial for understanding material behavior under extreme conditions.
- The interaction between liquid impacts and elastic filaments can lead to complex phenomena like dynamic buckling.
Purpose of the Study:
- To experimentally and theoretically analyze the buckling dynamics of an elastic filament subjected to axial impact by a falling liquid droplet.
- To identify and characterize the different buckling modes that occur.
- To construct a phase diagram illustrating the transitions between these modes.
Main Methods:
- Experimental setup involving controlled droplet impacts on elastic filaments.
- Theoretical analysis to model the elastoviscous behavior and predict instability.
- Phase diagram construction based on falling height and filament length parameters.
Main Results:
- Two distinct transition boundaries were identified, delineating the onset of dynamic buckling and the separation of buckling modes.
- The hydrodynamic viscous force of the liquid was found to dominate the impact dynamics.
- Dynamic buckling instability was successfully predicted using a single elastoviscous number.
- The critical load for droplet impact was found to be twice the critical static load, and lower than for solid objects.
Conclusions:
- The study elucidates the complex buckling dynamics of elastic filaments under liquid droplet impact.
- Hydrodynamic viscous forces play a critical role, governed by the elastoviscous number.
- The findings offer insights into the mechanics of deformable object impacts on elastic structures.
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