Fundamentals of Thermal-Fluid Sciences
Fundamentals of Thermal-Fluid Sciences
5th Edition
ISBN: 9780078027680
Author: Yunus A. Cengel Dr., Robert H. Turner, John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 3, Problem 14P
To determine

The site that is better for the wind power generation.

Expert Solution & Answer
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Explanation of Solution

Given:

Velocity of the wind at first site (V1) is 7m/s.

Velocity of the wind at second site (V2) is 10m/s.

Time taken for the wind to blow at first site per year (Δt1) is 3000hr/year.

Time taken for the wind to blow at second site per year (Δt2) is 1500hr/year.

Density of the air (ρ) is 1.25kg/m3.

Calculation:

Consider unit flow area for both sites.

  A=1m2

Calculate the power generation potential of the wind at first site (W˙max,1).

  W˙max,1=E˙mech,1=m˙1emech, 1=(ρV1A)(V122)=[(1.25kg/m3)(7m/s)(1m2)]((7m/s)22)

  W˙max,1=[(1.25kg/m3)(7m/s)(1m2)]((7m/s)22)(1kJ/kg1000m2/s2)=0.2144kW

Calculate the power generation potential of the wind at second site (W˙max,2).

  W˙max,2=E˙mech,2=m˙2emech, 2=(ρV2A)(V222)=[(1.25kg/m3)(10m/s)(1m2)]((10m/s)22)

  W˙max,2=[(1.25kg/m3)(10m/s)(1m2)]((10m/s)22)(1kJ/kg1000m2/s2)=0.625kW

Calculate the maximum electric power generation per year at first site (Emax,1).

  Emax,1=(W˙max,1)(Δt1)=(0.2144kW)(3000hr/year)=643kwh/year

Calculate the maximum electric power generation per year at second site (Emax,2).

  Emax,2=(W˙max,2)(Δt2)=(0.625kW)(1500hr/year)=938kwh/year

Therefore, the second site produces maximum electric power when compared to first site.

Thus, the best site for the wind power generation is secondsite_.

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Chapter 3 Solutions

Fundamentals of Thermal-Fluid Sciences

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