a) Downstream of the throat the area of the nozzle increases. At the nozzle exit the Mach number is 2.5. What is the nozzle diameter (in cm) at the exit ? b) At the location where the nozzle diameter is 25 cm, what is the gas velocity? c) If the air has a stagnation pressure (po) of 60 atm and a stagnation temperature of 1200 K upstream of the throat, what is the mass flow rate in kg/sec ? Hint: use Fliegner's formula (below) that is on p. 71 of our textbook by Hill and Peterson. m2 = [0.040 (kg/s) Pa‍¹ m²² K1/2] (Poz A2*) (T02)-1/2 Location "2" is any location, since the mass/sec is the same at all streamwise x- locations. Note: po, To and A* are the same values at all x-locations.

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
Question

Please answer c

A supersonic converging-diverging nozzle is near the exit of a turbojet engine. Its cross-section is circular. The gas has the properties of air, and the flow is isentropic. At the throat location (the minimum area) the air flow is choked (is Mach one) and the throat has diameter of 20 cm.

a) Downstream of the throat the area of the nozzle increases. At the nozzle exit the Mach
number is 2.5. What is the nozzle diameter (in cm) at the exit ?
b) At the location where the nozzle diameter is 25 cm, what is the gas velocity?
c) If the air has a stagnation pressure (po) of 60 atm and a stagnation temperature of 1200
K upstream of the throat, what is the mass flow rate in kg/sec ? Hint: use Fliegner's
formula (below) that is on p. 71 of our textbook by Hill and Peterson.
m2 = [0.040 (kg/s) Pa‍¹ m²² K1/2] (Poz A2*) (T02)-1/2
Location "2" is any location, since the mass/sec is the same at all streamwise x-
locations. Note: po, To and A* are the same values at all x-locations.
Transcribed Image Text:a) Downstream of the throat the area of the nozzle increases. At the nozzle exit the Mach number is 2.5. What is the nozzle diameter (in cm) at the exit ? b) At the location where the nozzle diameter is 25 cm, what is the gas velocity? c) If the air has a stagnation pressure (po) of 60 atm and a stagnation temperature of 1200 K upstream of the throat, what is the mass flow rate in kg/sec ? Hint: use Fliegner's formula (below) that is on p. 71 of our textbook by Hill and Peterson. m2 = [0.040 (kg/s) Pa‍¹ m²² K1/2] (Poz A2*) (T02)-1/2 Location "2" is any location, since the mass/sec is the same at all streamwise x- locations. Note: po, To and A* are the same values at all x-locations.
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