Problem 4 In the figure shown, suppose that the reservoir is open to the atmosphere at the top. The valve is used to control the flow rate from the reservoir. The head loss across the valve is given as h₁ = 4V²/(2g), where V is the velocity in the pipe. The cross-sectional area of the pipe is 8 cm². The head loss due to friction in the pipe is negligible. The elevation of the water level in the reservoir above the pipe outlet is 9 m. Find the discharge in the pipe (in m³/s). Assume a = 1.0 at all locations. Air under pressure Water Partly open valve
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- (4) Consider that we have a horizentral pipe, like shown in the sketh, which is carrying in this case, cooling water at 10 °C. The elevation of the big tank of cooling water is 100 m, the elevation of the center line of the pipe is 20 m, the length of the pipe is 2000 m. Head loss in the pipe is 0. 07 L / D) V? H. D=20 cm, the rate of flow is 0.0 a=1 ase calculate the 2g pressure in the pipe. Elevation = 100 m Elevation = 20 m L=2000 m %3D II ||A water siphon having a constant inside diame of 3 in. is arranged as shown in the figure below the friction loss between A and B is 0.8V²/2 wh is the velocity of flow in the siphon, determine flowrate involved. Assume a = 4 ft, h = 12 ft. D-- B a hQ3(b) A pitot tube and a piezometric tube are installed in a horizontal pipe adjacent to each other, as shown in Figure Q3(b). The fluid flows in the pipe with velocity, v. Derive the expression of the flow velocity in the pipe, v in terms of h1 and h2. Neglect the head losses.
- The water tank is below a constant level at depth h rectangular hole a x b. We close the opening with an immersion wall from the upper edge of the hole by a distance x. Given: h = 0.85 m, a = 0.4 m, b = 0.7 m. Determine: by what distance x do we have to move the immersion wall, to reduce the flow 3 times, what will be the flow Q1 at submerged wall by x, Reynolds number Re in flow, nature of flow.1 a) A 2-mm-diameter clean glass tube is inserted in water at 15°C (Figure 1.2). Determine the height that the water will climb up the tube. The water makes a contact angle of 0° with the clean glass. ADo h W=y¥ Air Water Figure 1.2A pitot tube is inserted in a pipe of 30 cm diameter. The static pressure of the tube is 10 cm of mercury, vacuum. The stagnation pressure at the centre of the pipe recorded by the pitot tube is 1.0 N/cm². Calculate the rate of flow of water through the pipe, if the mean velocity of flow is 0.85 times the central velocity. Assume coefficient of the tube to be 0.98.
- A pump draws 24 liters per second of water from reservoir Cand lifts it to reservoir D as shown in the figure. The head lost from C to 1 is 3 times the velocity head in the 150-mm suction line and the head lost from 2 to D is 25 times the velocity head in the 100-mm discharge line. El, 210 m Figure 402 * Et Om El. -20 m 150 nm PLIMP What is the pressure head at point 1 in meters of water? 16.58 O 23,56 19.62 O 32.67Situation 1: In the pipe system shown, the velocity of water in pipe A is 1 m/s. The friction factor f = 0.02 for all pipes. a. Determine the discharge in pipe B. b. Determine the velocity in pipe C. c. Determine the headloss in pipe E. d. Determine the difference in elevation of the two reservoirs. Water D A 300 m 200 mm D 300m 500 mm Diom 600m 300mm Diam 300m 300mm D B 800 m 300mm Diam E4.80 Water (p = 62.4 lbm/ft³) flows from the large orifice at the bottom of the tank as shown. Assume that the flow is irrotational. Point B is at zero elevation, and point A is at 1 ft elevation. If VA = 4 ft/s at an angle of 45° with the horizontal and if VB = 12 ft/s vertically downward, what is the value of PA - PB? Answer B Vertical Problem 4.80 45°
- A 90° elbow in a horizontal pipe is used to direct water flow upward at a rate of 40 kg/s. The diameter of the entire elbow is 10 cm. The elbow discharges water into the atmosphere, and thus the pressure at the exit is the local atmospheric pressure. The elevation difference between the centers of the exit and the inlet of the elbow is 50 cm. The weight of the elbow and the water in it is considered to be negligible. Determine (a) the gage pressure at the center of the inlet of the elbow and (b) the anchoring force needed to hold the elbow in place. Take the momentum flux correction factor to be 1.03 at both the inlet and the outlet. 50 cm 50 cm Water 40 kg/sIn the friction free shown, the following: compute a. Pressure of the water in the tube at point B. 1.5 m b. Pressure of water in the tube at 3 m A.The gauge pressure of water at A is 150.5 kPa. Water flows through the pipe at A with a velocity of 18 m/s, and out the pipe at B and C with the same velocity v. Neglect the weight of water within the pipe and the weight of the pipe. The pipe has a diameter of 50 mm at A, and at B and C the diameter is 31 mm. pw = 1000 kg/m³. (Figure 1) Figure v B v y L. 18 m/s 1 of 1 Part A Determine the x component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium. Express your answer to three significant figures and include the appropriate units. F = 11176 Submit μА Part B Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining N Determine the y component of force exerted on the elbow necessary to hold the pipe assembly in equilibrium. Express your answer to three significant figures and include the appropriate units. μA Fy=11115 Provide Feedback ? N Submit Previous Answers Request Answer ? X Incorrect; Try Again; 5 attempts remaining