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Liquids. Capillary effects

Problem 2.171

A vertical water jet flows out of a round hole. One of the horizontal sections of the jet has the diameter d=2.0 mmd=2.0 \mathrm{~mm} while the other section located l=20 mml=20 \mathrm{~mm} lower has the diameter which is n=1.5n=1.5 times less. Find the volume of the water flowing from the hole each second.

Reveal Answer
V1=1/4πd22gl−4α(n−1)/ρdn4−1=0.9 cm3/sV_{1}=1 / 4 \pi d^{2} \sqrt{\frac{2 g l-4 \alpha(n-1) / \rho d}{n^{4}-1}}=0.9 \mathrm{~cm}^{3} / \mathrm{s}
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