Fundamentals of Aerodynamics
Fundamentals of Aerodynamics
6th Edition
ISBN: 9781259129919
Author: John D. Anderson Jr.
Publisher: McGraw-Hill Education
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Chapter 2, Problem 2.12P

Consider a length of pipe bent into a U-shape. The inside diameter of the pipe is 0.5 m. Air enters one leg of the pipe at a mean velocity of 100 m/s and exits the other leg at the same magnitude of velocity, but moving in the opposite direction. The pressure of the flow at the inlet and exit is the ambient pressure of the surroundings. Calculate the magnitude and direction of the force exerted on the pipe by the airflow. The air density is 1 . 23 kg / m 3 .

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1- A 2 m long conical tube is fixed vertically with its smaller end upwards. It carries liquid in downward direction. The flow velocities at the smaller and larger ends are 5m/s and 2m/s respectively. The 0.35(u₁-u₂)² pressure head at the smaller end is 2.5 m of liquid. If the loss of head in the tube is 2g (u, and u₂ being the velocities at the smaller and larger ends respectively). Calculate the pressure head at the larger end.
Water is flowing through a U-section pipe as shown in Figure 1.2. At flange (1) the total absolute pressure is 240 kPa, and water flows into the pipe at 42 kg/s. At flange (2), the total pressure measured is 190 kPa with a flow rate of 32 kg/s. At point (3) water discharges into the atmosphere at 90 kPa at a flow rate of 10 kg/s. The mass of the elbow and the water in it is 50 kg. Neglecting the momentum-flux correction factor, determine the net x- and z-force at the two flanges connecting the pipe. T0 kg/s 3 ст 32 kg/s- 10 cm 42 kg/s S cm Figure 1.2
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