Fluid Mechanics : Energy and Power:An engineer is considering the development of a small wind turbine (D=1.25m) for home applications. The design wind speed is 15 mph(6.706m/s) at 10oC and 0.9 bar (90kPa). The efficiency of the turbine is 20%, that is 20% of the kinetic energy of the wind can be extracted. Estimate the power in watts that can be produced by the turbine.Hints:1) In the time interval delta t, the amount of mass that flows through the rotor is:    delta m = mdot delta t 2) The kinetic energy in the flow is:    (delta m V2/2)

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Asked Oct 29, 2019
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Fluid Mechanics : Energy and Power:

An engineer is considering the development of a small wind turbine (D=1.25m) for home applications. The design wind speed is 15 mph(6.706m/s) at 10oC and 0.9 bar (90kPa). The efficiency of the turbine is 20%, that is 20% of the kinetic energy of the wind can be extracted. Estimate the power in watts that can be produced by the turbine.

Hints:

1) In the time interval delta t, the amount of mass that flows through the rotor is:    delta m = mdot delta t 

2) The kinetic energy in the flow is:    (delta m V2/2)

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Expert Answer

Step 1

Given Information:

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D 1.25 m T 100 C 10+273 = 283° K p 0.9 bar 90000 pa V 15 mph 6.71 m/s n- 20%

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Step 2

We will have to find density using Ideal Gas Law:

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90000 pa p = 1.108 kg/m3 (287 J/kg K) (283 K) RT

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Step 3

Now we will find the area ...

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TD2 x1.25 A = -= 1.227 m2 4 4

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