Drying rate depending on curvature?

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    Curvature Drying Rate
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Discussion Overview

The discussion centers on the evaporation rate of water droplets placed on curved surfaces, specifically comparing concave and convex surfaces with the same radius of curvature. Participants explore how the curvature affects the surface area of the droplet and, consequently, the evaporation rate.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • Some participants propose that the droplet on a convex surface will have a larger surface area, leading to a faster evaporation rate if the drop radius is less than that of the curved surface and the contact angle is the same for both cases.
  • Others challenge this view by questioning the assumption of differing surface areas, suggesting that in a perfect non-wetting scenario, the surface area would be the same for both cases, resulting in similar evaporation rates.
  • A participant emphasizes that heat flow from the surface to the droplet is minimal in the non-wetting case, which could affect the evaporation rate.

Areas of Agreement / Disagreement

Participants express differing opinions on whether the evaporation rates will differ based on the curvature of the surface, indicating that the discussion remains unresolved with competing views on the relationship between surface area and evaporation rate.

Contextual Notes

Assumptions about contact angles and the specific conditions of droplet placement on surfaces are not fully explored, which may influence the conclusions drawn by participants.

jangheej
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hi all =D
i have a question about evaporation rate depending on curvature.
say a droplet of water is placed on a curved surface- one concave, one convex but with the same radius of curvature.
will the evaporation rate be different?
 
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It's the one with the larger surface area that evaporates faster.
 
jangheej said:
hi all =D
i have a question about evaporation rate depending on curvature.
say a droplet of water is placed on a curved surface- one concave, one convex but with the same radius of curvature.
will the evaporation rate be different?

If the drop radius is less than that of the curved surface and the contact angle is the same for both cases, the drop on a convex surface will have a larger surface area and thus evaporate faster.
 
Andy Resnick said:
If the drop radius is less than that of the curved surface and the contact angle is the same for both cases, the drop on a convex surface will have a larger surface area and thus evaporate faster.


different surface area? why?
the droplet is just resting on the surface (see the image below)
 

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jangheej said:
different surface area? why?
the droplet is just resting on the surface (see the image below)

You drew a very special case- perfect non-wetting. In that case, there is hardly any heat flow from the surface to the droplet. And since the surface area is the same for the two cases, the rate of evaporation should be about the same.
 

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