Question

The steam turbine shown has twice as many outlets as it does inlets. The turbine operates steadily, and all the pipes carrying the steam to and from the turbine have the same diameter ($\phi$). a. What are the fluid velocities at the turbine exits? b. Based on your answer, is there such a thing as "conservation of volume"? c. If the turbine is adiabatic, how much power does it generate? Do not ignore the kinetic energy of the flowing fluid. $P_1 = 800 \text{ kPa}$ $T_1 = 450 \text{ }^\circ C$ $(AV)_1 = 236 \text{ }m^3/min$ $P_3 = 7.5 \text{ kPa}$ $x_3 = 0.1$ $\phi_3 = 0.25 \text{ m}$ $P_2 = 600 \text{ kPa}$ $T_1 = 400 \text{ }^\circ C$ $\dot{m}_2 = 0.2 \dot{m}_1$ $\phi_2 = 0.25 \text{ m}$ $W_{turbine}$

          The steam turbine shown has twice as many outlets as it
does inlets. The turbine operates steadily, and all the pipes
carrying the steam to and from the turbine have the same
diameter ($\phi$).
a. What are the fluid velocities at the turbine exits?
b. Based on your answer, is there such a thing as
"conservation of volume"?
c. If the turbine is adiabatic, how much power does it
generate? Do not ignore the kinetic energy of the
flowing fluid.
$P_1 = 800 \text{ kPa}$
$T_1 = 450 \text{ }^\circ C$
$(AV)_1 = 236 \text{ }m^3/min$
$P_3 = 7.5 \text{ kPa}$
$x_3 = 0.1$
$\phi_3 = 0.25 \text{ m}$
$P_2 = 600 \text{ kPa}$
$T_1 = 400 \text{ }^\circ C$
$\dot{m}_2 = 0.2 \dot{m}_1$
$\phi_2 = 0.25 \text{ m}$
$W_{turbine}$

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The steam turbine shown has twice as many outlets as it
does inlets. The turbine operates steadily, and all the pipes
carrying the steam to and from the turbine have the same
diameter (ϕ).
a. What are the fluid velocities at the turbine exits?
b. Based on your answer, is there such a thing as
"conservation of volume"?
c. If the turbine is adiabatic, how much power does it
generate? Do not ignore the kinetic energy of the
flowing fluid.
P1 = 800 kPa
T1 = 450 ^∘ C
(AV)1 = 236 m^3/min
P3 = 7.5 kPa
x3 = 0.1
ϕ3 = 0.25 m
P2 = 600 kPa
T1 = 400 ^∘ C
ṁ2 = 0.2 ṁ1
ϕ2 = 0.25 m
Wturbine

Added by Lisa J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

04/06/2022

Step 1

Given: m2 = 0.2m1 (Θ/Θ)2 = 0.25m Since the turbine has twice as many outlets as inlets, we can assume that m2 = 2m1 (mass flow rate at the outlets is twice that of the inlets). Therefore, m1 = m2 / 2 = 0.2m1 / 2 = 0.1m1 Using the equation for mass flow rate: m Show more…

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The steam turbine shown has twice as many outlets as it does inlets. The turbine operates steadily, and all the pipes carrying the steam to and from the turbine have the same diameter (Ø). a. What are the fluid velocities at the turbine exits? b. Based on your answer, is there such a thing as "conservation of volume"? c. If the turbine is adiabatic, how much power does it generate? Do not ignore the kinetic energy of the flowing fluid. P_(2)=600kPa T_(1)=400deg C m_(2)^(˙)=0.2m_(1)^(˙) (O)/(_(2))=0.25m The steam turbine shown has twice as many outlets as it does inlets.The turbine operates steadily,and all the pipes carrying the steam to and from the turbine have the same Pi=800 kPa T=450C (AV)1 = 236 m3/min diameter() a. What are the fluid velocities at the turbine exits? b. Based on your answer, is there such a thing as "conservation of volume"? C. If the turbine is adiabatic, how much power does it generate? Do not ignore the kinetic energy of the flowing fluid. P3 = 7.5 kPa x3 = 0.1 03 = 0.25 m Pz=600 kPa T=400C m2 = 0.2 m1 O2 = 0.25 m

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