GATE XE 2024 XE-B Q39: Integral Analysis for a Control Volume

Consider the steady, incompressible flow of water in a horizontal pipe of constant diameter 1 m with an inlet velocity of 12 m/s.

As shown in figure, water is lost through a circular hole of diameter 0.6 m at the rate of 4.53 m

/s. The outlet velocity (in m/s, rounded off to two decimal places) of water in the pipe is ______.

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