Answer to Question #207787 in Mechanical Engineering for Pavan

Question #207787

Two reservoirs are connected by a 5000 m long and 1.5 m diameter C.I pipe with f = 0.01 . The difference in water levels in two reservoir is 25 m. Determine the increase in discharge if the C.I pipe is replaced with a smooth steel pipe of same size with f = 0.005.


1
Expert's answer
2021-06-17T07:37:38-0400

"H_L=\\dfrac{32f_1LQ_1\u00b2}{\u03c0\u00b2gd_1\n\u2075}"


"Q_1= \\sqrt{\\dfrac{H\u03c0\u00b2gd_1\n\u2075}{32f_1L}} "


"Q_1 = \\sqrt{\\dfrac{25\u03c0\u00b2\u00d79.81\u00d71.5\u2075}{32\u00d70.01\u00d7500}}= 10.72m\u00b3\/s"


"Q_2= \\sqrt{\\dfrac{H\u03c0\u00b2gd_2\n\u2075}{32f_2L}} "


"\\sqrt{\\dfrac{25\u03c0\u00b2\u00d79.81\u00d71.5\u2075}{32\u00d70.005\u00d7500}} = 15.16m\u00b3\/s"


"Q= Q_1+ Q_2=15.16m\u00b3\/s- 10.72m\u00b3\/s= 4.44m\u00b3\/s"

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