Question

Asked Sep 3, 2019

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Fluid Mechanics

A drop of water at 20^{o}C is forming under a solid surface. The configuration just before separating and falling as a drop is shown in the picture. Assume the forming drop has a volume of a hemisphere and the force holding the drop to the surface is the surface tension. What is the diameter of the hemisphere just before separating?

Step 1

Assume:

The surface tension of the water (σ) at 20ºC is 0.073 N/m.

The value of acceleration due to gravity (*g*) is 9.8 m/s^{2}.

The density of water (ρ) is 1000 kg/m^{3}.

The volume and diameter of the water drop is denoted by *V* and *D*.

Step 2

The separation of the droplet happens only when the weight of the drop *W* exceeds the surface tension *F*.

The weight o...

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