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Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Problem 6- Analysis of a nozzle flow (
The stators in a gas turbine are designed to increase the kinetic energy of the gas passing
through them adiabatically. Air enters a set of these nozzles at 300 psia and 700°F with a
velocity of 86 ft/s and exits at 250 psia and 645°F. The specific heat of air at the average
temperature of 672.5°F is cp = 0.253 Btu/lbm-R.
a. Create a schematic representation of the nozzle and draw the boundary of the system
needed to answer the next questions. Include the mass and energy interactions across the
boundary.
b.
Create a governing equation for this nozzle from the general energy balance equation
and cross-out any terms that are likely to be irrelevant or have little contribution in the
equation.
C.
Calculate the velocity at the exit of the nozzles (in ft/s)
d.
List the assumptions and approximations that were needed to solve this problem.
Identify (sketch) the two states of the working fluid (entrance and exit) on both a P-v
diagram and a T-v diagram.
e.
f.
Convert the outflow velocity to mph and comment on the validity of the results from
this problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45b426d2-77cf-426a-9697-7717d2348fa2%2F726b8640-6239-4a2c-9534-c6ab1ca45ad2%2Fhsg5oqp_processed.jpeg&w=3840&q=75)
Transcribed Image Text::
Problem 6- Analysis of a nozzle flow (
The stators in a gas turbine are designed to increase the kinetic energy of the gas passing
through them adiabatically. Air enters a set of these nozzles at 300 psia and 700°F with a
velocity of 86 ft/s and exits at 250 psia and 645°F. The specific heat of air at the average
temperature of 672.5°F is cp = 0.253 Btu/lbm-R.
a. Create a schematic representation of the nozzle and draw the boundary of the system
needed to answer the next questions. Include the mass and energy interactions across the
boundary.
b.
Create a governing equation for this nozzle from the general energy balance equation
and cross-out any terms that are likely to be irrelevant or have little contribution in the
equation.
C.
Calculate the velocity at the exit of the nozzles (in ft/s)
d.
List the assumptions and approximations that were needed to solve this problem.
Identify (sketch) the two states of the working fluid (entrance and exit) on both a P-v
diagram and a T-v diagram.
e.
f.
Convert the outflow velocity to mph and comment on the validity of the results from
this problem.
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