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A fan is to produce a constant air speed of 40 m/s throughout the pipe loop shown in Fig. The 3-m-diameter pipes are smooth, and each of the four 90°elbows has a loss coefficient of 0.30. Determine the power (in KW) that the fan adds to the air. Assume air as in compressible fluid and fan as pump. For density and viscosity of air, please use the following values.

Fig: 1

Fig: 2