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Fluid Mechanics Fundamentals and Applications [EXP-21261]
168 SOLVED PROBLEMS
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Question: 3.9
A Gravity-Controlled Cylindrical Gate A long solid cylinder of radius 0.8 m hinged at point A is used as an automatic gate, as shown in Fig. 3–41. When the water level reaches 5 m, the gate opens by turning about the hinge at point A. Determine (a) the hydrostatic force acting on the cylinder and
Verified Answer:
The height of a water reservoir is controlled by a...
Question: 4.1
A Steady Two-Dimensional Velocity Field A steady, incompressible, two-dimensional velocity field is given by V→= (u, 𝜐 ) = (0.5 + 0.8x) i→+ (1.5 − 0.8y) j→ where the x- and y-coordinates are in meters and the magnitude of velocity is in m/s. A stagnation point is defined.
Verified Answer:
For the given velocity field, the location(s) of s...
Question: 10.4
A Two-Region Model of a Tornado A horizontal slice through a tornado (Fig. 10–28a) is modeled by two distinct regions. The inner or core region (0 < r < R) is modeled by solid body rotation—a rotational but inviscid region of flow as discussed earlier
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SOLUTION We are to calculate the pressure field P(...
Question: 1.5
Absolute Pressure of a Vacuum Chamber A vacuum gage connected to a chamber reads 5.8 psi at a location where the atmospheric pressure is 14.5 psi. Determine the absolute pressure in the chamber.
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The gage pressure of a vacuum chamber is given. Th...
Question: 4.2
Acceleration of a Fluid Particle through a Nozzle Nadeen is washing her car, using a nozzle similar to the one sketched in Fig. 4–8. The nozzle is 3.90 in (0.325 ft) long, with an inlet diameter of 0.420 in (0.0350 ft) and an outlet diameter of 0.182 in (see Fig. 4–9)
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The acceleration following a fluid particle down t...
Question: 12.5
Air Loss from a Flat Tire Air in an automobile tire is maintained at a pressure of 220 kPa (gage) in an environment where the atmospheric pressure is 94 kPa. The air in the tire is at the ambient temperature of 25°C. A 4-mm-diameter leak develops in the tire as a result of an accident (Fig. 12–19)
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SOLUTION A leak develops in an automobile tire as ...
Question: 12.6
Airflow through a Converging–Diverging Nozzle Air enters a converging–diverging nozzle, shown in Fig. 12–22, at 1.0 MPa and 800 K with negligible velocity. The flow is steady, one-dimensional, and isentropic with k = 1.4. For an exit Mach number of Ma = 2 and a throat area of 20 cm²
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SOLUTION Air flows through a converging–diverging ...
Question: 14.15
Application of Turbine Affinity Laws A Francis turbine is being designed for a hydroelectric dam Instead of starting from scratch the engineers decide to geometrically scale up a previously designed hydroturbine that has an excellent performance history The existing turbine (turbine A) has diametera
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SOLUTION We are to design a new hydroturbine by sc...
Question: 1.1
Axisymmetric Flow over a Bullet Consider a bullet piercing through calm air during a short time interval in which the bullet’s speed is nearly constant. Determine if the time-averaged airflow over the bullet during its flight is one-, two-, or three-dimensional
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It is to be determined whether airflow over a bull...
Question: 6.8
Bending Moment Acting at the Base of a Water Pipe Underground water is pumped through a 10-cm-diameter pipe that consists of a 2-m-long vertical and 1-m-long horizontal section, as shown in Fig. 6–39. Water discharges to atmospheric air at an average velocity of 3 m/s
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SOLUTION Water is pumped through a piping section....
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