Reference no: EM132345556

Calculate the density of air from avg temperature data during the mid-month (M2) from temperature, pressure data using Peng-Robinson method.

You may assume, air is a binary mixture of Nitrogen and Oxygen. The temperature varies at different time of the day. The pressure can be assumed constant for a region (Laramie or Alberta). The critical temperature and pressure of air is well tabulated in the literature.

Anyone performing manual calculation should assume that there is no binary interaction (=0) between the gas molecules of air.

Alternatively, you may use ASPEN HYSIS software and use "Peng-Robinson" as fluid package.

Design wind mill with a 40% energy efficiency (or a series of wind mill) located near your house. The Actual Available Power should be 1,000X to the total energy consumption of all resident of that house. Calculate the land requirement as well.

You may design a single large wind mill or a few small wind mills. The operating wind speed should vary on windmill diameter. The average speed is available in the literature. But the actual speed can be calculated using distribution function such "Weibull Distribution". On the other hand, wind speed can be calculated for variable height by the following method:

Wind Variations

Table 3.1 Roughness class and roughness lengths

Roughness class	Roughness length (m)	Energy index (%)	Landscape type
0	0.0002	100	Water surface
0.5	0.0024	73	Completely open terrain with smooth surface. e.g. airport runways, mowed grass
1	0.03	52	Open agriculture land without fencing and very scattered buildings, softly rounded hills
2	0.1	39	Agriculture land with some houses and 8 m tall sheltering hedgerows at a distance of approx. 500 m
3	0.4	24	Villages, small towns
4	1.6	13	Very large cities with tall buildings and skyscrapers

The wind speed at a certain height above ground level is given by:

v = v_ref ln(z/z₀)/In(zre_f/z₀)

where
v wind speed at height z above ground level,
v_ref reference speed, i.e. a wind speed at height z_ref,
In(...) is the natural logarithm function,
z height above ground level for the desired velocity v,
z_ref reference height, i.e. the height at which wind speed is v_ref,
z₀ roughness length in the current wind direction.

If you use 500 kWh energy per month in a house of 12 people, then you have to design a (or a series) wind turbine which can deliver 6MWh (500*12*1000X) energy in a month.

There should be certain spacing between the wind mill if you design multiple (a series) WIND TURBINE. The spacing may vary depending on the reference book or method you are using.

Estimate the costing of the wind mill using present worth method. (assume 1% interest rate). You may also analyze IRR, future worth of the project. Assume reasonable operating and maintenance cost for the powerplant.

Assume that, the wind mill has a lifetime of 30 years. For costing, you may use 'Scale economies and the "0.6 rule".

Calculation of 'IRR' is optional.

Comment on the feasibility of such power plant in terms of economic and engineering point of view. Please check the hints file for project-I.

Write a technical report (About 1200 words excluding figure. table, references)

Please follow the guideline for project-I. Please type and print your report completely. Use consistent formatting, page number, label each figure, label each table etc.

Attachment:- Weibull Distribution.rar