2008_Exam2 - Determine: a) Wall shear stress b) Pressure...

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57:020 Mechanics of Fluids and Transport Fall 2008 EXAM #2 November 10, 2008 1. For the pipe-flow-reducing section of Fig.1, ܦ = 8 cm, ܦ = 5 cm, and ݌ = 1 atm. All fluids are at 20 ° C. If ܸ = 5 m/s and the manometer reading is ݄ = 58 cm, estimate the total horizontal force resisted by the flange bolts. ( ߩ ௪௔௧௘௥ = 998 Kg/m 3 and ߩ ௠௔௖௨௥௬ = 13,546 Kg/m 3 @ 20 ° C) 2. Gasoline ( ܵܩ = 0.68) flows through a pump at 0.12 m 3 /s as indicated in Fig. 2. The head loss be- tween sections (1) and (2) is ݄ = 0.3 ܸ . What will the difference in pressures between sec- tions (1) and (2) be if ܹ = 20 kW is delivered by the pump to the fluid? ( ߩ = 999 Kg/m 3 for water; 1 W = 1 N m/s; ݃ = 9.81 m/s 2 ) Figure 1 Figure 2 3. Glycerin at 20 ° C flows in a horizontal 75-mm-diameter pipe shown in Fig.3 with ݑ ୫ୟ୶ = 1.0 m/s. It is known that the velocity distribution is ݑሺݎሻ ൌ ݑ ୫ୟ୶ ܴ ሺܴ െݎ
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Unformatted text preview: Determine: a) Wall shear stress b) Pressure difference between sections (1) and (2) using the momentum equation c) Head loss between section (1) and (2) using the energy equation The distance between sections (1) and (2) is 10m. ( = 1,260 Kg/m 3 and = 1.50 N s/m 2 for glycerin at 20 C) 4. The water flowrate, , in an open rectangular channel can be measured by placing a plate across the channel as shown in Fig. 4. This type of a device is called a weir . The height of the water, , above the weir crest is referred to as the head and can be used to determine the flo-wrate through the channel. Assume that is a function of the head, , the channel width, , and the acceleration of gravity, . Determine a suitable set of dimensionless variables for this problem. Figure 3 Figure 4 2...
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