Q.1 An airstream with Mach number of 2, a pressure of 150 kPa and a temperature of 350 K enters a diverging channel as shown in the figure. If the ratio of the exit cross-sectional area to the inlet cross-sectional area is 3, determine the back pressure which is necessary to produce a normal shock wave in the channel with a cross- sectional area equal to twice the inlet cross-sectional area. Assume steady, one- dimensional and isentropic flow except through the normal shock wave. P = 150KPA T; = 350K M = 2 A1 = A2 = 2A; A. = 3A; %3!

Introduction to Chemical Engineering Thermodynamics
8th Edition
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Q.1 An airstream with Mach number of 2, a pressure of 150 kPa and a temperature
of 350 K enters a diverging channel as shown in the figure. If the ratio of the exit
cross-sectional area to the inlet cross-sectional area is 3, determine the back pressure
which is necessary to produce a normal shock wave in the channel with a cross-
sectional area equal to twice the inlet cross-sectional area. Assume steady, one-
dimensional and isentropic flow except through the normal shock wave.
P; = 150KPA
T; = 350K
M = 2
A1 = A2 = 2A;
A= 3A;
(2)
Transcribed Image Text:Q.1 An airstream with Mach number of 2, a pressure of 150 kPa and a temperature of 350 K enters a diverging channel as shown in the figure. If the ratio of the exit cross-sectional area to the inlet cross-sectional area is 3, determine the back pressure which is necessary to produce a normal shock wave in the channel with a cross- sectional area equal to twice the inlet cross-sectional area. Assume steady, one- dimensional and isentropic flow except through the normal shock wave. P; = 150KPA T; = 350K M = 2 A1 = A2 = 2A; A= 3A; (2)
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