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.

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batolisis batolisis · Answer 1 · 2021-03-29T14:45:16+02:00

Answer:

[tex]\pi 1 = \frac{h}{l}[/tex]

[tex]\pi 2 =[/tex] б / [tex]l^2gp[/tex]

[tex]\frac{h}{l} =[/tex] Ф ( б / [tex]l^2gp[/tex] )

Explanation:

Develop a suitable set of dimensionless parameters for this problem

The set of dimensionless parameters for this problem is :

[tex]\pi 1 = \frac{h}{l}[/tex]

[tex]\pi 2 =[/tex] б / [tex]l^2gp[/tex]

[tex]\frac{h}{l} =[/tex] Ф ( б / [tex]l^2gp[/tex] )

and they are using the pi theorem, MLT systems

attached below is a detailed solution

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