A water jet pump, Figure P11.9, has a jet area (A_{j}=0.01 mathrm{~m}^{2}) and a jet velocity (v_{j}=30

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A water jet pump, Figure P11.9, has a jet area \(A_{j}=0.01 \mathrm{~m}^{2}\) and a jet velocity \(v_{j}=30 \mathrm{~m} / \mathrm{s}\) which entrains a secondary stream of water having a velocity \(v_{s}=3 \mathrm{~m} / \mathrm{s}\) in a constant area pipe of total area \(A=0.75 \mathrm{~m}^{2}\). At section 2 the water is thoroughly mixed. Assume onedimensional flow and neglect wall shear.

a. What is the average velocity of the mixed flow at section 2 ?

b. What is the pressure rise \(\left(P_{2}-P_{1}\right)\) assuming the pressure of the jet and secondary stream to be the same at section 1 ?

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