Module 2: "Capliarity"
  Lecture 10: ""
 

 

If two points ‘1’ and ‘2’ are chosen (as shown in the fig:2.17)

then

In such a case the pressure is out of phase with the disturbance.
Then the fluid will flow from ‘2’ to ‘1’
And the cylindrical surface would break in to drops.

cylendrical surfaces are unstable.

So for , the condition for is

(2.33)

 

For such '' cylindrical surfaces would be unstable.

If increases, spacing between drops increases.

As pointed out earlier, the Young-Laplace equation can have multiple solutions for the same set of parameters or have no solution at all. In case of multiple solutions, relative stability of the solutions has to be studied.