GATE_AE_2027_MOCK_03_Q19 GATE 2027 Aerospace Engineering All-India Master Mock 03 (Flight Dynamics, Controls & Space Trajectories) NAT · 1 Mark
Aerodynamics & Fluid Mechanics • Compressible Flow & Shocks • 1D Isentropic Compressible Flow

Air flows isentropically through a duct. At a station where Mach number M = 1.0, the static temperature is T = 250 K. Taking \gamma = 1.4, what is the total (stagnation) temperature T_0 in Kelvin?

Answer Key:
300

Step-by-Step Verified Solution

### Solution: T_0 / T = 1 + ((\gamma - 1)/2) M^2 = 1 + 0.2 * 1^2 = 1.2. T_0 = 250 * 1.2 = 300 K. Correct: 300.
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