PS_23 - ChBE421 Problem Set#2 Fall 2009 1 In this era of...

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ChBE421 Problem Set #2 Fall 2009 1. In this era of high energy prices, there is a focus on renewable sources of energy such as wind energy. Consider a large windmill 30m in diameter. On a windy day, suppose that the windmill entrains a stream of air 25 m in diameter at a speed of 14 m/s. Downstream of the windmill, the entrained stream exits over a large diameter at a speed of 5 m/s. The pressure equals atmospheric pressure at both inlet and outlet. Find the power (in megawatts) generated by the windmill. Density of air: ρ = 1. 2 kg/m 3 2. Two fluid streams with velocities u 1 and u 2 flow between parallel plates separated by a distance 2 h as shown. The streams enter a mixing zone and emerge with uniform velocity U . The pressure at each cross-section is uniform and viscous forces around the control volume are negligible. Find the pressure change across the mixing zone. Find the lost work. 3. You are responsible for the installation of exhaust fans at your plant. Each fan is 5 ft in diameter and entrains a stream of air 12 ft
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