DCGN209Spring’10: Homework#8 p. 1 of 3
I.
to hand in)
.
A.
The following derivations refer to “control volume” devices.
The starting point
for the energy balance for such a device is the equation below; use this equation
as a starting point for the first derivation.
1.
For a
steadyflow
device the mass flow rate at the inlet is equal to the mass flow
rate at the outlet.
Start with the equation above and show that the energy balance
for such a device is:
2.
Use the result of derivation #1 to show, for a device in which
no work
is done
(such as a nozzle, diffuser or throttling valve) that the following relationship holds
when the device is
adiabatic
:
3.
Use the result of derivation #1 to show, for a device in which
no work
is done
(such as a nozzle, diffuser or throttling valve) that the following relationship holds
when the device is
nonadiabatic
:
4.
Use the result of derivation #1 to show, for a device in which
nonboundary work
is done by the fluid as it passes through the device (such as a turbine or
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 Spring '08
 Simmons,E
 Energy, Kinetic Energy, device, Mass flow rate

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