Water flows through a duct of square cross section as

Chapter 4, Problem 4.62

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Water flows through a duct of square cross section as shown in Fig. P4.62 with a constant, uniform velocity of V = 20 m/s. Consider fluid particles that lie along line  A-B at time t = 0. Determine the position of these particles, denoted by line \(A^\prime-B^\prime\) when t = 0.20 s. Use the volume of fluid in the region between lines A–B and \(A^\prime-B^\prime\) to determine the flowrate in the duct. Repeat the problem for fluid particles originally along line C–D; along line E–F. Compare your three answers.

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