ID:‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ Quiz: No. 7 Time: 15 minutes Name: ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ Course: 58:160, Fall 2010 The exam is closed book and closed notes. Water at 10°C flows from a large reservoir to a smaller one through a 5-cmdiameter cast iron piping system, as shown in the figure. Determine the elevation z1 for a flow rate of 0.006 m3/s. (pipe=0.00026 m; water=1.307×10-3 kg/m.s; water=999.7 kg/m3) Note that: hl ,major f ii. hl ,minor K L iii. L V2 D 2g i. V2 2g Va2 pb Vb2 z z h h h 2 g a 2 g b l turb pump pa ID:‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ Quiz: No. 7 Time: 15 minutes Name: ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ Course: 58:160, Fall 2010 ID:‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ Quiz: No. 7 Time: 15 minutes Name: ‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐ Course: 58:160, Fall 2010 Solution: p1 V12 p V2 z1 2 2 z2 hl (1 point) 2g 2g p1 p2 patm (1 point) V1 V2 0 (1 point) 2 hl hl ,major hl ,minor V L ( f K L ) pipe (1 point) 2g D 2 V L K L ) pipe 2g D Q 0.006 3.06 m / s (1 point) V pipe A (0.05) 2 / 4 V pipe D (999.7)(3.06)(0.05) 117000 4000 Turbulent (1 point) Re 1.307 103 0.00026 0.0052 (1 point) D 0.05 z1 z2 ( f f F (Re, / D) 0.0315 Moody Chart (2 point) 2 z1 z2 ( f V L K L ) pipe D 2g 4 (0.0315 4 27.9 31.9 89 3.062 (1 point) 2.36) 0.05 2(9.81)
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