Halliday, Resnick & Walker — Fluids: Problem Problem_68

Fresh water flows horizontally from pipe section 1 of cross-sectional area \(A_1\) into pipe section 2 of cross-sectional area \(A_2\). Figure 14.32 gives a plot of the pressure difference \(p_2 - p_1\) versus the inverse area squared \(A_1^{-2}\) that would be expected for a volume flow rate of a certain value if the water flow were laminar under all circumstances. The scale on the vertical axis is set by \(\Delta p_s = 300 \text{ kN/m}^2\). For the conditions of the figure, what are the values of (a) \(A_2\) and (b) the volume flow rate?