Air fl ows adiabatically through a duct. At one section V1 =400 ft/s, T1 = 200 °F, and p1 = 35 lbf/in2 absolute, whilefarther downstream V2 = 1100 ft/s and p2 = 18 lbf/in2absolute. Compute (a) Ma2, (b) Umax, and (c) p02/p01.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Air fl ows adiabatically through a duct. At one section V1 =
400 ft/s, T1 = 200 °F, and p1 = 35 lbf/in2 absolute, while
farther downstream V2 = 1100 ft/s and p2 = 18 lbf/in2
absolute. Compute (a) Ma2, (b) Umax, and (c) p02/p01.

Expert Solution
Step 1

Understand that the stagnation temperature is constant during the flow through the duct as the flow is adiabatic.

Write the properties of air.

Mechanical Engineering homework question answer, step 1, image 1

Write the expression for the stagnation temperature at the inlet to the duct and substitute the known values in the expression.

Mechanical Engineering homework question answer, step 1, image 2

Step 2

Write the expression for the stagnation temperature at the outlet to the duct and substitute the known values in the expression.

Mechanical Engineering homework question answer, step 2, image 1

Write the expression for the Mach number at the outlet and substitute the known values in the above expression.

Mechanical Engineering homework question answer, step 2, image 2

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