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The height of a liquid rises in a tube is a function of the surface tension...

The height of a liquid rises in a tube is a function of the surface tension (s)the body force (gravity, g), fluid density, ρ, radius, r, and the contact angle θ.

(i)Develop the relationship of the parameters by using Buckingham’s theorem.

(ii)In experimental with a diameter 0.001 [m] and surface tension of 73 milli-Newtons/meter and contact angle of 75◦ a height is 0.01 [m] was obtained. In another situation, the surface tension is 146 milli-Newtons/meter, the diameter is 0.02 [m] and the contact angle and density remain the same. Estimate the height.

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