Consider supersonic airflow through a 12-cmdiameter adiabatic duct with inlet conditions of T 1 = 500 K,

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Consider supersonic airflow through a 12-cmdiameter adiabatic duct with inlet conditions of T1 = 500 K, P1 = 80 kPa, and Ma1 = 3. Taking the average friction factor to be 0.03, determine the duct length required to decelerate the flow to a Mach number of unity. Also, calculate the duct length at Mach number intervals of 0.25, and plot the duct length against the Mach number for 1 ≤ Ma ≤ 3. Discuss the results.

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