An isentropic converging-diverging nozzle receives air from a huge reservoir where the temperature and pressure are 300 K and 400 kPa respectively. The nozzle is designed with throat and exit diameters being 0.2 m and 0.4 m respectively. The nozzle is connected with a 6 m-length adiabatic constant area duct as shown in the figure. If there is a shock wave at the exit of the nozzle, determine: 1. the ratio of duct area at shock wave to critical area for isentropic nozzle (A/A;") 2. Mach number upstream the shock wave (M2) 3. Mach number downstream the shock wave (M). 4. Mach number at the exit of the duct (M2). 5. the pressure at the exit of the duct (Pe). 6. the temperature at the exit of the duct (T2). Take f= 0.002.

An isentropic converging-diverging nozzle receives air from a huge reservoir where the temperature and pressure are 300 K and 400 kPa respectively. The nozzle is designed with throat and exit diameters being 0.2 m and 0.4 m respectively. The nozzle is connected with a 6 m-length adiabatic constant area duct as shown in the figure. If there is a shock wave at the exit of the nozzle, determine: 1. the ratio of duct area at shock wave to critical area for isentropic nozzle (A/A;") 2. Mach number upstream the shock wave (M2) 3. Mach number downstream the shock wave (M). 4. Mach number at the exit of the duct (M2). 5. the pressure at the exit of the duct (Pe). 6. the temperature at the exit of the duct (T2). Take f= 0.002.

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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Entropy

In physics, entropy means the amount of disorder or the degree of randomness associated with a thermodynamic system. The system is not self-organized when the entropy of the system is high. For instance, when a system is at an elevated temperature, its molecules are in random motion, vibrating and colliding with each other. During this scenario, the probability of finding a molecule at a particular place twice, is low. Under this circumstance, the system can be said to be in a high entropy.

Question

An isentropic converging-diverging nozzle receives air from a huge
reservoir where the temperature and pressure are 300 K and 400 kPa
respectively. The nozzle is designed with throat and exit diameters being 0.2
m and 0.4 m respectively. The nozzle is connected with a 6 m-length
adiabatic constant area duct as shown in the figure. If there is a shock wave
at the exit of the nozzle, determine:
1. the ratio of duct area at shock wave to critical area for isentropic
nozzle (Aş/A;")
2. Mach number upstream the shock wave (M2)
3. Mach number downstream the shock wave (M,).
4. Mach number at the exit of the duct (M2).
5. the pressure at the exit of the duct (Pe).
6. the temperature at the exit of the duct (Te). Take f= 0.002.
Isentropic
Nozzle
Adiabatic Duct
P. = 400 kPa
T.- 300 K
Normal Shock Wave
6 m

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