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Stagnation Point of Surface Flow during Drop Evaporation
Lihui Wang1, Michael T Harris1
1Davidson School of Chemical Engineering , Purdue University , 480 Stadium Mall Drive , West Lafayette , Indiana 47907-2100 , United States.
Capillary flow significantly impacts evaporating liquid drop patterns, creating a stagnation point near the contact line. This finding reveals the interplay between capillary and Marangoni flows, especially at small contact angles.
Area of Science:
- Fluid dynamics
- Surface science
- Evaporation phenomena
Background:
- Evaporating liquid drops exhibit complex flow patterns influenced by surface tension gradients (Marangoni flow) and liquid-solid interactions (capillary flow).
- Understanding these flow dynamics is crucial for applications like inkjet printing, coating, and heat transfer.
Purpose of the Study:
- To investigate the influence of capillary flow on the flow patterns of an evaporating liquid drop.
- To identify and explain the formation of a stagnation point near the contact line.
- To validate numerical findings with experimental observations.
Main Methods:
- Numerical simulations were employed to model the fluid flow within an evaporating liquid drop.
- Lubrication theory was used to provide a theoretical explanation for the observed flow behavior.
- Experimental data was utilized for comparison and validation of the numerical results.
Main Results:
- A stagnation point was identified near the contact line in the numerical simulations.
- The stagnation point arises from the competing effects of Marangoni flow and capillary flow.
- The formation and position of the stagnation point are strongly dependent on the contact angle, becoming more pronounced at smaller angles.
Conclusions:
- Capillary flow plays a significant role in determining the flow patterns of evaporating drops, contrary to the common assumption that Marangoni flow is the sole driver.
- The study confirms the existence of a stagnation point near the contact line, explained by the combined influence of capillary and Marangoni effects.
- Numerical results for the stagnation point's radial position closely matched experimental observations, validating the model.
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