AE221_15_Tut_06 - AE221 Gas dynamics(2014-15 II Semester...

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AE221 Gas dynamics (2014-15, II Semester) Tutorial – 6 1. Air flows into a constant-area insulated duct with a Mach number of 0.20. For a duct diameter of 1 cm and friction coefficient (4 f ) of 0.02, determine the duct length required to reach Mach 0.6. Determine the length required to attain Mach 1. Finally if an additional 75 cm is added to the duct length needed to reach Mach 1, while the initial stagnation conditions are maintained, determine the reduction in flow rate that would occur. [ Ans: 7.02 m and 3.96 %] 2. Air ( γ = 1.4 and R = 0.287 kJ/kg K) enters a constant-area insulated duct with a Mach number of 0.35, a stagnation pressure of 105 kPa, and stagnation temperature of 300 K. For a duct length of 50 cm, duct diameter of 1 cm, and friction coefficient (4 f ) of 0.022, determine the air force on the duct wall. [ Ans: 0.759 N] 3. A constant-area duct, 25 cm in length by 1.3 cm in diameter, is connected to an air reser- voir through a converging nozzle. For a constant reservoir pressure of 1 MPa and constant
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