Water flows from a large tank and through a pipe of

Chapter 3, Problem 3.79

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Water flows from a large tank and through a pipe of variable area as shown in Fig. 3.79. The area of the pipe is given by \(A=A_{0}[1-x(1-x / \ell) / 2 \ell]\), where \(A_0\) is the area at the beginning (x = 0) and end \((x = \ell)\) of the pipe. Plot graphs of the pressure within the pipe as a function of distance along the pipe for water depths of h = 1, 4, 10, and 25 m.

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