exam-3-f23
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University of Florida *
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5714
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English
Date
Jan 9, 2024
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Pages
3
Uploaded by ElderEnergyNightingale35
EML 5714 & EAS 4132 Exam 3 Fall 2023 Name: __________________________(print) __________________________(sign) Academic Honesty Statement
: By signing this exam I certify that I have not given or received help in completing this exam. Instructions
: You are allowed to use your textbook, notes, etc… but are not allowed to communicate with anyone during the exam. The exam is to be completed during 50 minutes with an additional 10 minutes to upload your solutions. When looking up values in the table you can use the closest tabulated value but please specify where it comes from. Show all of your work and turn this sheet in with your exam or sign an honesty statement on your exam. 1.
(6 pts total) Consider viscous flow in a converging-diverging nozzle driven by a large reservoir. If the nozzle is insulated and the pressure ratio is large enough to force supersonic flow at the exit, will the Mach number at the exit be larger or smaller than that predicted by the inviscid solution? Explain your answer including a mention of whether the sonic point will be in the diverging or converging section of the nozzle. 2.
(14 pts total) For each type of flow with a perfect gas, indicate whether the property increases (+), decreases (-) or remains constant (O). Mach Number Pressure Entropy Enthalpy Supersonic Fanno Flow (constant area) Supersonic Rayleigh Flow with heat addition and constant area
Name _________________________________________
3.
(42 pts) A converging-diverging nozzle (see figure below) has an area ratio of 3.0. The stagnation conditions at the inlet are P
o
=1.0 x 10
6
N/m
2
and T
o
=305 K. A constant-area insulated duct with a length of 12 diameters is attached to the nozzle outlet. The friction factor of the duct is 0.025. You can assume isentropic flow in the nozzle. a.
Compute the receiver pressure that would place the shock at the exit of the nozzle. b.
Compute the receiver pressure that would place the shock at the exit of the duct. c.
What receiver pressure would cause supersonic flow throughout the duct with no shocks within the system (including after the exit of the duct).
Name _________________________________________
4.
(38 pts) Air enters a converging-diverging nozzle with stagnation conditions of P
o
=35x10
5
N/m
2
and T
o
=450 K. The area ratio of the nozzle is 4.0. After passing through the nozzle, the flow enters a constant area duct where heat is added. At the end of the duct there is a normal shock, after which the static temperature is found to be 560 K. a.
Draw a T-S diagram for the system and list any assumptions you are making about the flow. b.
Find the Mach number after the shock. c.
Determine the amount of heat added to the duct.
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