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Three pipes of diameter 300 mm, 200 mm & 400 mm and lengths 450 m, 255 m & 315 m respectively are connected in series

The difference in water surface levels in the two tanks is 18 m. Determine the rate of flow of water if coefficients of friction are 0.0075, 0.0078 & 0.0072 respectively (consider minor losses).

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Given:

For the three pipes in series connected between two tanks

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Now, Applying Bernoulli’s Principle between the liquid surfaces in the two tanks, $\frac{P_1}{ρg}+\frac{v_1^2}{2g}+Z_1=\frac{P_2}{ρg}+\frac{v_2^2}{2g}+Z_2+h_l$

Now,

Assuming both the tanks are open to atmosphere ⇒$P_1=P_2$

Assuming the tanks are infinitely large such that the water level does not change as flow …

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