To conserve water and energy, a flow reducer is installed

Chapter 8, Problem 8.57

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To conserve water and energy, a “flow reducer” is installed in the shower head as shown in Fig. P8.57. If the pressure at point (1) remains constant and all losses except for that in the flow reducer are neglected, determine the value of the loss coefficient (based on the velocity in the pipe) of the flow reducer if its presence is to reduce the flowrate by a factor of 2. Neglect gravity.

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