Question

Because of surface tension, it is possible, with care, to support an object heavier than water on the water surface. The maximum thickness, h, of a square material that can be supported is assumed to be a function of the length of the side of the square, the density of the material, the acceleration of gravity, and the surface tension of the liquid. Develop a suitable set of dimensionless parameters for this problem.

Answer 1

Answer:

$\pi 1 = \frac{h}{l}$

$\pi 2 =$ б / $l^2gp$

$\frac{h}{l} =$ Ф ( б / $l^2gp$ )

Explanation:

Develop a suitable set of dimensionless parameters for this problem

The set of dimensionless parameters for this problem is :

$\pi 1 = \frac{h}{l}$

$\pi 2 =$ б / $l^2gp$

$\frac{h}{l} =$ Ф ( б / $l^2gp$ )

and they are using the pi theorem, MLT systems

attached below is a detailed solution