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Question 7.Q.7: Water in a 5.5-in diameter pipe has a velocity of 97 gal/s; ......

Water in a 5.5-in diameter pipe has a velocity of 97 gal/s; the pipe splits in two to feed two systems. If after splitting, one pipe is 3.2-in diameter and the other 1.8-in diameter, what is the flow rate from each pipe?

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Q=\frac{3.14\times 5.5\times 5.5\times 97\times 0.1337}{4\times 12\times 12}ft^{3}/s=2.14 \ ft^{3}/s=16 \ gal/s \\ Q(3.2)=\frac{2.4\times 3.2\times 3.2}{(3.2\times 3.2)+(1.8\times 1.8)}ft^{3}/s=1.36 \ ft^{3}/s=12.19 \ gal/s \\ Q(1.8)=\frac{2.4\times 1.8\times 1.8}{(3.2\times 3.2)+(1.8\times 1.8)}ft^{3}/s=0.514 \ ft^{3}/s=3.85 \ gal/s

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