1. (45 Pts) Liquid water (incompressible fluid) flows steadily through the Y connector with circular pipe cross-sections as shown below in the figure. The pipe radii (R1 and R2) and the velocity profiles of the flow are provided on the figure below, where V max (m/s) represent the respective maximum velocity in each pipe of the connecter. Please determine the following: s) Volume flow rate (m3/s) into the connector B) (27 Pts) Minimum diameter of the upper exit pipe (D3 in m) required to prevent the average flow velocity (V average in m/s) in that branch from exceeding 10 m/s.

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