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categoryهندسة ميكانيكية schoolبكالوريوس event_available2026-07-13

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4.24 Air is delivered through a constant-diameter duct by a fan. The air is inviscid, so the fluid velocity profile is "flat" across each cross section. During the fan start-up, the following velocities were measured at the time t and axial positions x: x = 0 x = 10 m x = 20 m t = 0 s t = 1.0 s V = 0 m/s V = 0 m/s V = 1.00 m/s V = 1.20 m/s V = 0 m/s V = 1.40 m/s t = 2.0 s V = 1.70 m/s V = 1.80 m/s V = 1.90 m/s t = 3.0 s V = 2.10 m/s V = 2.15 m/s V = 2.20 m/s Calculate the local acceleration, the convective acceleration, and the total acceleration at t = 1.0 s and x = 10 m. What is the local acceleration after the fan has reached a steady air flow rate?

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