Fluids (Fluid Flow Concept and Basic Equation 1)Online version
Final Examination
1
The water jet in Fig. P3.40 strikes normal to a fixed plate. Neglect gravity and
friction, and compute the force F in newtons required to hold the plate fixed.
2
Water at 20°C flows through a 5-cm-diameter pipe which has a 180° vertical bend, as in Fig. P3.43. The total length of pipe between flanges 1 and 2 is 75 cm. When the weight flow rate is 230 N/s, p1 = 165 kPa, and p2 = 134 kPa. Neglecting pipe weight, determine the total force which the flanges must withstand for this flow.
3
In Fig. P3.45 a perfectly balanced 700-N weight and platform are supported by a steady water jet. What is the proper jet velocity?
4
A liquid jet Vj of diameter Dj strikes a fixed cone and deflects back as a conical sheet
at the same velocity. Find the cone angle θ for which the restraining force F = (3/2)ρAjVj
5
The horizontal nozzle in Fig. P3.49 has D1 = 12 in, D2 = 6 in, with p1 = 38 psia and V2 = 56 ft/s. For water at 20°C, find the force provided by the flange bolts to hold the nozzle fixed.
6
The jet engine in Fig. P3.50 admits air at 20°C and 1 atm at (1), where A1 =0.5 m2
and V1 = 250 m/s. The fuel-air ratio is 1:30. The air leaves section (2) at 1 atm, V2 = 900 m/s, and A2 = 0.4 m2. Compute the test stand support reaction Rx needed.
7
For the pipe-flow reducing section of Fig. P3.54, D1 = 8 cm, D2 = 5 cm, and p2 =1 atm. All fluids are at 20°C. If V1 = 5 m/s and the manometer reading is h = 58 cm, estimate the total horizontal force resisted by the flange bolts.
8
Water at 20°C flows steadily through the box in Fig. P3.56, entering station (1) at 2 m/s. Calculate the (a) horizontal forces
9
Water at 20°C flows steadily through the box in Fig. P3.56, entering station (1) at 2 m/s. Calculate the (b) vertical forces required to hold the box stationary against the flow momentum.
10
Water flows through the duct in Fig. P3.57, which is 50 cm wide and 1 m deep into the paper. Gate BC completely closes the duct when β = 90°. Assuming one-dimensional flow, for what angle β will the force of the exit jet on the plate be 3 kN?
11
The water tank in Fig. P3.58 stands on a frictionless cart and feeds a jet of diameter 4 cm and velocity 8 m/s, which is deflected 60° by a vane. Compute the tension in the supporting cable.
12
Water at 20°C flows through the elbow in Fig. P3.60 and exits to the atmosphere. The pipe diameter is D1 = 10 cm, while D2 = 3 cm. At a weight flow rate of 150 N/s, the pressure p1 = 2.3 atm (gage). Neglect-ing the weight of water and elbow, estimate the force on theflange bolts at section 1.
13
A 20°C water jet strikes a vane on a tank with frictionless wheels, as shown. The jet turns and falls into the tank without spilling. If θ = 30°, estimate the horizontal force F needed to hold the tank stationary.
14
Water at 20°C exits to the standard sea-level atmosphere through the split nozzle in Fig. P3.62. Duct areas are A1 = 0.02 m2 and A2 = A3 = 0.008 m2. If p1 = 135 kPa (absolute) and the flow rate is Q2 = Q3 = 275 m3 /h, compute the force on the flange bolts at section 1.
15
The 6-cm-diameter 20°C water jet in Fig. P3.64 strikes a plate containing a hole of 4-cm diameter. Part of the jet passes through the hole, and part is deflected. Determine the horizontal force required to hold the plate.
16
The box in Fig. P3.65 has three 0.5-in holes on the right side. The volume flows of 20°C water shown are steady, but the details of the interior are not known. Compute the force,
if any, which this water flow causes on the box.
17
The tank in Fig. P3.66 weighs 500 N empty and contains 600 L of water at 20°C. Pipes 1 and 2 have D = 6 cm and Q =300 m3/hr. What should the scale reading W be, in newtons?
18
Gravel is dumped from a hopper, at a rate of 650 N/s, onto a moving belt, as in
Fig. P3.67. The gravel then passes off the end of the belt. The drive wheels are 80 cm in
diameter and rotate clockwise at 150 r/min. Neglecting system friction and air drag,
estimate the power required to drive this belt.
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