Question

Could a hydrophobic surface increase a liquid's resistance to compression/displacement?

Answer 1

I guess that depends on what qualifies as a large force, but I don't think that the shear forces will be significant.

Consider the Couette flow, the shear stress and thus the viscous force along the boundary scales with the velocity. As velocity increases so too does the viscous force. In your problem, the magnitude of the shear stress is related to the rate at which hh decreases. Higher stresses can be achieved by decreasing hhmore rapidly. However at some point, this might result in a break up of the droplet.

Having a hydrophobic surface makes it easier for the contact line to move, and thus easier for the droplet to spread. In this case having a hydrophilic surface would increase the fluid's resistance to spread, however the total contact line force is probably still small as it scales with contact line length.

Answer 2

Hey mate ^_^

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Answer:
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A hydrophobic surface increases a liquid's resistance to compression or displacement depends on what qualifies as a large force as shear forces will be significant.

Having a hydrophobic surface makes it easier for the contact line to move, and thus easier for the droplet to spread and having a hydrophilic surface would increase the fluid's resistance to spread.

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