Working for an engineering consultancy firm, your knowledge of fluid dynamics is required to design a new safety feature for a high-pressure air line in a factory. The air line takes the form of a cylindrical pipe of diameter 150 mm, which is designed to operate between 0.45 MPa and 0.76 MPa. At the end of the pipe a bursting disk is placed so that, if the pressure exceeds the maximum operating pressure, the air is vented to atmosphere rather than over-pressuring the chemical reaction vessel (Figures 4a and 4b). In this question, you should treat the flow as quasi- one-dimensional and inviscid. The air in the surrounding atmosphere is at 101 kPa and 298 K. You have a choice of five disks which can withstand the following forces across them before bursting: 10.5 kN, 11.0 kN, 11.5 kN, 12.0 kN, 12.5 kN. Which of these bursting disks would you recommend, and why? Due to an over-pressurisation of the air line, the disk bursts at time t = 0. At what pressure in the air line will this occur? After the disk bursts, a shock wave travels in one direction while expansion waves travel in the other direction. At time t = t₁, the wave pattern in Figure 4c is observed. Plot the pressure distribution in the pipe from x = -6.0 m to x = 6.0 m corresponding to this wave pattern. You are given that a pressure tap at x = 0.0 m records the pressure at t = t₁ as 258 kPa. On your plot, annotate the pressure values in different regions of the air line. What is the Mach number of the shock wave that is travelling along the nine?

(cc) BY-NO-SA Niel Crews, 2013 An insulated, rigid vessel is initially empty (evacuated). However, it is connected to a steam line that is maintained at 200 psia and 500 °F. The valve is opened until the flow into the tank slows and stops (which occurs when the pressure in the tank is equal to the pressure in the steam line), at which point the valve is closed. What is the temperature within the vessel? °F

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Engine oil (n = 0.20 Pa·s) passes through a fine 2.00-mm-diameter tube that is 10.2 cm long. ▼ Part A What pressure difference is needed to maintain a flow rate of 4.4 mL/min ? Express your answer to two significant figures and include the appropriate units. ΔΡ = 4.76 Submit μA Provide Feedback Pa Previous Answers Request Answer ? X Incorrect; Try Again; 27 attempts remaining Next >

Water is flowing in a round tube. The temperature is . , and the dynamic viscosity is . The tube inside diameter is  .  The Reynolds number is . What is the friction factor? ____________

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As shown in Fig. 4.33, the pipe diameter is d = 25 mm. l1 = 8 m; l2 = 1 m;H = 5 m. The nozzle diameter is d0 = 10 mm, and the minor loss coefficientsof inlet and elbow are f1 = 0.5 and f2 = 0.1 respectively. For nozzle, f3 =0.1 (relative to the outflow velocity of nozzle). The friction factor is k = 0:03.Try to determine jet height h.

3. A pump steadily circulates oil used for lubricating heavy machine tools. The volume flow rate and temperature of the oil are 300 gal/min and 104°F, respectively. At 104°F, the kinematic viscosity and the specific gravity of the oil are 2.15 x 10-3 ft² /s and 0.89, respectively. The pipe lengths are 25 ft for the 4-in diameter pipe and 75 ft for the 3-in diameter one. The Schedule-40 steel pipe has an average roughness element size of 0.0018 in. If all minor losses can be ignored, evaluate how much power (in a unit of horsepower) the pump delivers to the oil. 6 ft 22 ft Flow 15 ft Discharge line 3-in Schedule 40 Suction line 4-in Schedule 40 steel pipe steel pipe Pump