Problem 4. A converging-diverging nozzle, a with throat area of A₁ = 10 cm², is attached to a large tank in which the pressure and temperature are maintained at po = 8.0 bar and To = 350 K. The nozzle exit area is A₁ = 14 cm². (a) For a throat Mach number of Mat = 1 determine the exit Mach number corresponding to the following three cases: case I (isentropic subsonic flow, Mar), case II (isentropic supersonic or "design conditions" flow, Maд), and case III (flow with a normal shock in the exit plane, Maш). (b) Determine the back pressures corresponding to all three cases: PI, PII, and P. (c) Sketch the corresponding T-s diagram for all three cases. (d) Briefly discuss how changing the exit area changes the design Mach number.

Elements Of Electromagnetics
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Problem 4. A converging-diverging nozzle, a with throat area of A₁ = 10 cm², is attached to a large tank in
which the pressure and temperature are maintained at po = 8.0 bar and To = 350 K. The nozzle exit area is
A₁ = 14 cm². (a) For a throat Mach number of Mat = 1 determine the exit Mach number corresponding to
the following three cases: case I (isentropic subsonic flow, Mar), case II (isentropic supersonic or "design
conditions" flow, Maд), and case III (flow with a normal shock in the exit plane, Maш). (b) Determine the back
pressures corresponding to all three cases: PI, PII, and P. (c) Sketch the corresponding T-s diagram for all three
cases. (d) Briefly discuss how changing the exit area changes the design Mach number.
Transcribed Image Text:Problem 4. A converging-diverging nozzle, a with throat area of A₁ = 10 cm², is attached to a large tank in which the pressure and temperature are maintained at po = 8.0 bar and To = 350 K. The nozzle exit area is A₁ = 14 cm². (a) For a throat Mach number of Mat = 1 determine the exit Mach number corresponding to the following three cases: case I (isentropic subsonic flow, Mar), case II (isentropic supersonic or "design conditions" flow, Maд), and case III (flow with a normal shock in the exit plane, Maш). (b) Determine the back pressures corresponding to all three cases: PI, PII, and P. (c) Sketch the corresponding T-s diagram for all three cases. (d) Briefly discuss how changing the exit area changes the design Mach number.
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