The water surface elevation must be 110.2631 meters for a flow of 0.03m³ to occur in the cast pipe
For cast iron the chart has 0.0012 from Moody's chart
0.016 for cast iron
[tex]hf = \frac{flQ^{2}}{12.1d5}[/tex]
[tex]h1 = h2+\frac{Q^{2} }{12.1} [\frac{0.0012*100}{(12/1000)^5} +\frac{0.0016*150}{(15/100)^5} ][/tex]
[tex]h1 = 110m+\frac{0.03^2}{12.1} [\f\frac{0.12}{0.00032} +\frac{0.24}{0.000759} ]\\\\h1 = 110+0.0000744[375+3162.06]\\\\= 110 + 0.2631m\\\\= 110.2631m[/tex]
Therefore the water surface elevation must be 110.2631 meters for a flow of 0.03m³ to occur in the cast pipe
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