Question
5

Transcribed Image Text:Composite Rough Surface
- Hydrophilic Porous Surfaces
Ratio: 1-s
Contact angle: 0
Liquid
Vapor
Ratio: Ps
Contact angle: 0g
Q1:
From the Cassie-Baxter model,
obtain cos 0 for this surface.
cos 81s+s cos E Eq. (2)
→inconsistent with Wenzel's model
because e cannot be zero.
Q2:
(another condition is necessary for being close to total wetting)
Prove that the intersection of
Eqs. (1) & (2) corresponds to
rdx: Increase in total area when unit-length contact line is displaced by dr
dx: area of dry top surface when unit-length contact line is displaced by
1-0s
cos =
r-Ds
cos E >
1- Þs
T-OS
26
The condition that grooves are filled with water:
dE < 0,
where
dE=(rs) (YSLYSV) de+(1-Ps) 7LV dx
-
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