Solution

Calculate the volumetric flowrate through each section:

9l=(0.2)(5)=lm3/s q2 = (0.3)(7) = 2.1 m3/s q3 = (0.25)(12) = 3m3/s

Since the fluid is of constant density, the continuity equation may be applied on a volume rate basis:

Therefore, flow is out of the control volume at section 4. Calculate the velocity v4:

Calculate the mass flowrate across section 4, m4:

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