Question

Steam enters a converging-diverging nozzle at steady state with
P_{1} = 40bar T_{1} = 400°C and a velocity of
12m/s. The steam flows through the nozzle with negligible heat
transfer and no significant change in potential energy. At the exit
P_{2} = 15bar and the velocity is 700 m/s. The mass flow
rate is 2.5 kg/s. Determine the exit area of the nozzle in
m^{2}

Answer #1

1. A converging-diverging
nozzle is designed assuming steady isentropic flow. Air enters the
nozzle at 427°C and 1000 kPa with negligible velocity. The exit
Mach number is 2 and throat area is 20 cm2.
Determine:
a. The throat velocity
b. The mass flow rate
c. The exit area
2. The nozzle now has an exit
area of 4 cm2. Air enters the nozzle with a total
pressure of 1200 kPa, and a total temperature of 127oC.
Determine the mass flow rate for back pressure of...

1. A converging-diverging
nozzle is designed assuming steady isentropic flow. Air enters the
nozzle at 427°C and 1000 kPa with negligible velocity. The exit
Mach number is 2 and throat area is 20 cm2.
Determine:
a. The throat velocity
b. The mass flow rate
c. The exit area
2. The nozzle now has an exit
area of 4 cm2. Air enters the nozzle with a total
pressure of 1200 kPa, and a total temperature of 127oC.
Determine the mass flow rate for back pressure of...

Water at p1 = 20 bar, T1
= 400oC enters a turbine operating at steady state and
exits at p2 = 1.5 bar, T2 =
230oC. The water mass flow rate is 4000 kg/hour. Stray
heat transfer and kinetic and potential energy effects are
negligible.
Determine the power produced by the turbine, in kW, and the rate of
entropy production in the turbine, in kW/K.

Steam enters a nozzle operating at a pressure of 30 [bar] and a
temperature of 320 [◦C] with negligible velocity. The steam exits
the nozzle at a pressure of 15 [bar] and a velocity of 10 [m/s].
The mass flow rate is 2.5 [kg/s]. Assume the nozzle is well
insulated.
Determine the exit temperature of the steam.

1. Air enters a converging-diverging
nozzle with a total pressure of 1100 kPa and a total temperature of
127°C. The exit area to throat area ratio is 1.8. The throat area
is 5 cm2. The velocity at the throat is sonic and the
diverging section acts as a nozzle. The diverging section is now
acts as a supersonic nozzle. Assume that a normal shock stands in
the exit plane of the nozzle. Determine the following:
a. The static pressure and...

Steam enters a control volume operating at steady state at 3 bar
and 160 ◦ C with a volumetric flow rate of 0.5 m3 /s. Saturated
liquid leaves the control volume through exit #1 with a mass flow
rate of 0.1 kg/s, and saturated vapor leaves through exit #2 at 1
bar with a velocity of 5 m/s. Determine the area of exit #2, in m2
.

An ideal gas (k = 1.4, R = 0.287 kJ/kg·K) flows in a
converging-diverging nozzle. At the nozzle inlet, the velocity is
negligible, and the static temperature is 527°C. At the nozzle
exit, the static temperature is 127°C. Determine the Mach number at
the nozzle exit.
2.36
3.98
0.53
2.24

Assume that air is drawn steadily through a frictionless,
adiabatic converging‐diverging nozzle into a frictionless,
constant‐area duct with heat addition. The air enters the constant
area pipe section at a static pressure of 200 kPa, static
temperature of 500K, and velocity of 400 m/s. (a) If 500 kJ/kg is
removed from the flow, determine the static pressure, static
temperature and velocity of the flow leaving the duct. (b) What is
the maximum amount of heat addition for these inflow conditions?...

Steam at 250oC and 1 MPa enters a compressor at a steady rate of
2 m3 /s with a velocity of 0.1 m/s. The device uses 6500 kJ/s of
energy to compress the steam to a temperature of 500oC and a
pressure of 4 MPa. Assuming that this device is adiabatic and that
you can ignore potential energy changes, calculate the steam
velocity and mass flow rate at the exit of the compressor.

Air enters a length of constant area pipe with p1 = 490 kPa
(abs), T1 = 450 K, and V1 = 130 m/s. The diameter of the pipe is
0.1 m. If 480 kW of energy is added to the air by frictionless heat
transfer between sections (1) and (2), determine p2, T2, and
V2.

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