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Costing the Unit
Values in the
Cost Analysis were obtained using Seider’s Process Design
Principles: Capital Cost Estimation. To estimate the cost of the
condenser and evaporator, the principal equipment cost was found (CP)
from the following equation found in Seider’s for cylindrical
process vessels.

Where L is the
length, or height of the vessel in meters, and D is the diameter in
meters. Using the values we calculated earlier, the condenser had a
height of 3.67 meters with a diameter of 0.61 meters, while the
evaporator had a diameter of 0.67 meters and a height of 3.64 meters.
Overall, because the dimensions of each the condenser and evaporator
are very similar, their costs are also in the same range. For the heat
exchanger, CP was found from the following equation, also
found in Seider.

Where A is the
area of heat exchange in m2, which was 60.3 m2.
Once the principal equipment cost was found, we could then find the
bare module cost. The bare module cost includes direct and indirect
project expenses. These include materials used for installation,
installation costs, labor, insurance, and taxes. The bare module cost
for the condenser and evaporator was calculated from the following
equation, where L and D are the same as above, FM is the
materials factor, and P is the operating pressure in bars.

The materials
factor changes depending upon what kind of materials we select. Cost
analysis comparing carbon steel, stainless steel, and titanium were
all completed to compare costs of materials and to see how much of a
difference it made. The values of FM for the different
materials can be seen in the Table 10.
|
Material |
FM |
|
Carbon Steel |
1.0 |
|
Stainless
Steel |
4.0 |
|
Titanium |
10.6 |
Table
10: Values of materials factors
Once the bare
module cost was found, a number of other costs must be found,
including: cost of site preparation and service facilities, the cost
of contingencies, cost of land, royalties and start-up, and working
capital. Once all these are calculated the total capital investment is
found. The total capital investment was found for situations of
different materials being used for the evaporator and condenser, which
can be found on the next page. It was decided that carbon
steel could be
used for the condenser, but stainless steel must be used for the
evaporator to avoid corrosion. Also taken into account was the costs
of miscellaneous materials (solar cell, nozzles, and pumps) of
$10,000. Once this was all taken into account, the total cost of our
entire unit would be $540,607.66.
|
Desalination Unit Investment |
|
|
Heat Exchanger |
$41,881.97 |
|
Condenser: Carbon Steel |
$98,187.94 |
|
Evaporator: Stainless Steel |
$390,537.75 |
|
Miscellaneous Materials |
$10,000.00 |
|
Total |
$540,607.66 |
Table 11:
Individual costs
Once we knew the
cost of the entire unit, we assumed that it would last 25 years.
Considering this, we took the number of liters per day produced
(5673 liters/day) and assumed that production would only occur six
months out of the year, and receive the insolation (solar energy)
for January throughout the year, rather than increasing for all
other months (worst case scenario).

We then took the
total cost of investment for our desalination unit, and divided it
by the number of liters we would be producing, and the final cost
comes out at $0.02 per liter of water.

Assuming the average person uses
250 liters of water per day, that becomes $5/day, which in turn
becomes $150/month. More research must be done to determine how this
unit could be more cost effective.
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