GATE_AE_2027_MOCK_03_Q45 GATE 2027 Aerospace Engineering All-India Master Mock 03 (Flight Dynamics, Controls & Space Trajectories) NAT · 2 Marks
Aerodynamics & Fluid Mechanics • Basic Fluid Mechanics • Incompressible Potential Flow & Vorticity

A 2D source of strength \Lambda = 20 m^2/s is located at the origin. What is the radial velocity v_r (in m/s) at a radial distance r = 2.0 m? (Take \pi \approx 3.1416, round to two decimal places).

Answer Key:
1.59

Step-by-Step Verified Solution

### Solution: v_r = \Lambda / (2\pi r) = 20 / (2 * 3.1416 * 2.0) = 20 / 12.5664 ≈ 1.5915 ≈ 1.59 m/s. Correct: 1.59 (range 1.56 to 1.62).
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