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Droplet Interactions on Viscoelastic Liquid Films

Study reveals how droplets behave on viscoelastic films in various conditions.

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When a droplet of liquid meets a film of another type of liquid, interesting things happen. This study looks at the behavior of a droplet sitting on a Viscoelastic liquid film, which is a mix of thick liquids and stretchy materials like polymers. This is important in many fields, including manufacturing, medicine, and even our daily lives. Different liquids behave differently depending on their thickness and the materials mixed with them. Understanding how one liquid interacts with another can help us better use these materials in practical applications.

What are Viscoelastic Fluids?

Viscoelastic fluids are unique because they have both viscous (thick and sticky) and elastic (stretchy) properties. This means they can flow easily like water but also return to their original shape when stretched. You can find viscoelastic fluids in many everyday things, such as slime, dough, and even in biological systems like mucus and blood. When these fluids are mixed with certain other liquids, they can influence how those liquids behave, especially under different conditions.

The Experiment

In this research, we placed a droplet on a film made of a viscoelastic liquid. We wanted to see how the droplet would spread and become engulfed by the film. The droplet and the film do not mix, which is called being immiscible. We observed the droplet's movement and how the film interacted with it through computer simulations.

Initial Setup

For our simulations, we started by defining the properties of the liquids involved-the droplet, the film, and the surrounding air. We noted things like density (how heavy the liquid is), viscosity (how thick or sticky it feels), and size. The air around the droplet is important too, as it affects how the droplet interacts with the film.

Dynamics of the Droplet

Initial Contact

When the droplet first touches the film, different forces come into play, including Surface Tension. This is what helps the droplet spread out a bit. Initially, the droplet begins to change shape as it tries to spread over the film. The film itself begins to climb up the droplet's sides.

The Role of Surface Tension

Surface tension is crucial in understanding how the droplet spreads. This force acts at the interface between the droplets, the film, and the air. It influences how quickly the droplet can spread and whether or not it will be fully engulfed by the film.

The Effect of the Film's Thickness

One of the key things we looked at was how the thickness of the film affects the droplet's movement. Generally, if the film is thicker, it should be harder for the droplet to get engulfed. However, with viscoelastic films, we found that the droplet behavior can become independent of film thickness under certain conditions.

Viscosity and Relaxation Time

The combination of viscosity and a property known as relaxation time (how fast the material returns to its original shape) plays a big role in the droplet's dynamics. If the relaxation time is long and the fluid is thick, the droplet's movement can look different than if the film were thinner or less viscous.

Differences Between Newtonian and Viscoelastic Fluids

We compared our findings with what happens when a droplet is placed on a traditional Newtonian fluid (a fluid that does not have the complex properties of viscoelasticity). With Newtonian fluids, the droplet's movement is influenced more by the film's thickness. In contrast, when using viscoelastic films, the droplet behaves more independently of the film thickness under certain conditions.

The Role of Polymer Viscosity

In our study, we also looked at how the viscosity of the polymers in the film affects the interaction. If the polymer viscosity is low, the droplet behaves similarly to how it would on a Newtonian fluid. However, as we increase the polymer viscosity, the liquid film starts to behave more like a solid, thus changing how the droplet interacts.

Simulation Results

Spreading Dynamics

Through our simulations, we tracked how the droplet spreads on the film. We measured how far it moved and how its shape changed over time. The shape of the droplet and how far it spreads is determined by both the surface tension and the viscosity of the film.

Influence of Height and Relaxation Time

We systematically changed the height of the liquid film and the relaxation time of the polymer in our simulations. The results showed that while the droplet dynamics might change slightly with different heights, the effect of increasing relaxation time was much more significant. A higher relaxation time typically leads to different droplet behavior.

Observations About the Contact Angle

As the droplet sits on the film, it forms a contact angle, which is the angle formed between the droplet and the surface of the film. The contact angle can give us insights into how well the droplet is spreading.

Effects of the Wetting Ridge

Near the contact line, a wetting ridge can form. This is the area where the droplet meets the film. The height and width of this ridge can change based on the film's properties. An interesting finding was that the ridge behaves differently depending on the polymer viscosity and relaxation time.

Summary of Findings

  1. Droplets on viscoelastic films behave differently than on traditional Newtonian fluids.
  2. The thickness of the film and the properties of the polymer greatly influence how the droplet spreads.
  3. Increasing the polymer viscosity can make the droplet behave more like it is on a solid surface.
  4. The contact angle and the formation of wetting ridges are crucial in determining the droplet's behavior.

Conclusion

This research highlights the complex interactions that happen when a droplet of liquid meets a viscoelastic film. By using computer simulations, we were able to visualize these dynamics and understand how factors like viscosity and film thickness played a role. The findings can help improve processes in various industries where fluid interactions are crucial, from manufacturing to biotechnology. Understanding these behaviors could lead to better control and application of liquids in real-world scenarios.

By studying these interactions, we can better predict how different liquids will behave in practical situations, allowing for more effective use of materials across many fields.

Original Source

Title: Spreading and engulfment of a viscoelastic film onto a Newtonian droplet

Abstract: We use the conservative phase-field lattice Boltzmann method to investigate the dynamics when a Newtonian droplet comes in contact with an immiscible viscoelastic liquid film. The dynamics of the three liquid phases are explored through numerical simulations, with a focus on illustrating the contact line dynamics and the viscoelastic effects described by the Oldroyd-B model. The droplet dynamics are contrasted with the case of a Newtonian fluid film. The simulations demonstrate that when the film is viscoelastic, the droplet dynamics become insensitive to the film thickness when the polymer viscosity and relaxation time are large. A viscoelastic ridge forms at the moving contact line, which evolves with a power-law dependence on time. By rescaling the interface profile of the ridge using its height and width, it appears to collapse onto a similar shape. Our findings reveal a strong correlation between the viscoelastic stress and the interface shape near the contact line.

Authors: Chunheng Zhao, Taehun Lee, Andreas Carlson

Last Update: 2024-01-31 00:00:00

Language: English

Source URL: https://arxiv.org/abs/2401.17762

Source PDF: https://arxiv.org/pdf/2401.17762

Licence: https://creativecommons.org/licenses/by-nc-sa/4.0/

Changes: This summary was created with assistance from AI and may have inaccuracies. For accurate information, please refer to the original source documents linked here.

Thank you to arxiv for use of its open access interoperability.

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