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Fluid Mechanics
Fluid Mechanics Fundamentals and Applications
168 SOLVED PROBLEMS
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 9.91 cm long, with an inlet diameter of 1.07 cm and an outlet diameter of 0.460 cm (see Fig. 4–9). The volume flow rate through the garden hose (and ...
Verified Answer:
The acceleration following a fluid particle down t...
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, determine (a) ...
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Air flows through a converging–diverging nozzle. T...
Question: 12.15
Choked Fanno Flow in a Duct Air enters a 3-cm-diameter smooth adiabatic duct at Ma1 = 0.4, T1 = 300 K, and P1 = 150 kPa (Fig. 12–62). If the Mach number at the duct exit is 1, determine the duct length and temperature, pressure, and velocity at the duct exit. Also determine the percentage of ...
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Air enters a constant-area adiabatic duct at a spe...
Question: 12.16
Exit Conditions of Fanno Flow in a Duct Air enters a 27-m-long 5-cm-diameter adiabatic duct at V1 = 85 m/s, T1 = 450 K, and P1 = 220 kPa (Fig. 12–63). The average friction factor for the duct is estimated to be 0.023. Determine the Mach number at the duct exit and the mass flow rate of air. ...
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Air enters a constant-area adiabatic duct of given...
Question: 4.3
Material Acceleration of a Steady Velocity Field Consider the steady, incompressible, two-dimensional velocity field of Example 4–1. (a) Calculate the material acceleration at the point (x = 2 m, y = 3 m). (b) Sketch the material acceleration vectors at the same array of x- and y-values as in ...
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For the given velocity field, the material acceler...
Question: 12.14
Rayleigh Flow in a Tubular Combustor A combustion chamber consists of tubular combustors of 15-cm diameter. Compressed air enters the tubes at 550 K, 480 kPa, and 80 m/s (Fig. 12–54). Fuel with a heating value of 42,000 kJ/kg is injected into the air and is burned with an air–fuel mass ratio of 40. ...
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Fuel is burned in a tubular combustion chamber wit...
Question: 12.8
Shock Wave in a Converging–Diverging Nozzle If the air flowing through the converging–diverging nozzle of Example 12–6 experiences a normal shock wave at the nozzle exit plane (Fig. 12–30), determine the following after the shock: (a) the stagnation pressure, static pressure, static temperature, ...
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Air flowing through a converging–diverging nozzle ...
Question: 2.3
Variation of Density with Temperature and Pressure Consider water initially at 20°C and 1 atm. Determine the final density of the water (a) if it is heated to 50°C at a constant pressure of 1 atm, and (b) if it is compressed to 100-atm pressure at a constant temperature of 20°C. Take the isothermal ...
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Water at a given temperature and pressure is consi...
Question: 12.4
Isentropic Flow of Air in a Nozzle Air enters a nozzle at 200 kPa, 350 K, and a velocity of 135 m/s (Fig. 12–18). Approximating the flow as isentropic, determine the pressure and temperature of air at a location where the air velocity equals the speed of sound. What is the ratio of the area at this ...
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Air enters a nozzle at specified temperature, pres...
Question: 14.16
Turbine Specific Speed Calculate and compare the turbine specific speed for both the small (A) and large (B) turbines of Example 14–15. ...
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The turbine specific speed of two dynamically simi...
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