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 Primary Reflector Parabola (Side View) 

Secondary Reflector Parabola (Front View)

 Figure 2 - Combining simple geometry with wide area using the secondary-reflector concept

Determination of Targets and Parameters

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The team decided that a useful cooker should be operable for a minimum of 2 hours per day on the shortest day of the year. Tim Bond gave us an approximate Nicaragua latitude, from which we calculated that solar elevations ranging from 52o to 90oshould provide just under 2 hours of cooking on the shortest day of the year and 6 - 8 hours during the summer. The section titled Solar Elevation Calculations for Concentrated Cooker, found on the following page, provides complete calculations. Having determined the desired area and range of movement for the reflector assembly, the team was equipped to seek appropriate dimensions and focal lengths for the primary and secondary reflectors.  To this end, the team created models of the reflectors in an excel spreadsheet to allow us to experiment with various parameters and observe the effects. This excel file, named Concentrating_solar_cooker_VISUALIZER.xlsis on the CD and should also be available on the website. 

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Knowing this, we knew that the secondary reflectors needed at least 1.1m of "useful width" in order to provide the power necessary. The "secondary reflector" tab in the excel  modeler graphs a parabolic shape relative to the tabletop and to the lower bound of how far the reflectors may extend. The allowable height of the secondary reflectors was found by subtracting the tallest point of the primary reflector from the total tabletop height. With this number in place, the user is allowed to experiment with the "intersect width" (which is a function of focal length). The modeler then calculates the resultant width of the X-dimension, given the height constraint. It also gives a corrected, "true width" to account for energy "wasted" from sunlight that lands on the flat space between the edge of the cooking hole and the beginning of the secondary reflector. From this model, we were able to determine that an intersect width of 0.75m gave a total width of 1.613m and a "true width" of 1.117m. Thus, we were able to achieve the collector surface area required and could feel confident about anticipated performance as we began construction. The section entitled Concentrated Cooker Technical Specifications, found on the following page, provides a summary of the concentrating cooker's dimensions and technical specifications.

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The hour angle h is an expression of solar time for a given point on earth. It is the angle through which the earth must turn in order to bring the meridian of that point directly under the sun. Thus, the hour angle is 0o at solar noon and changes by 15owith each hour of the day. The hour angle is considered negative in the AM and positive in the PM.

Wiki Markup_h = \ [(Current Solar Time) - (Solar Noon)\] * (15{_}{_}^°^_ _/ Hour)__ _ _           _                         (2)° / Hour)                                      (2)

The sun declination d  is the angle between the sun's rays and the plane of the earth's equator; it can The sun declination d  is the angle between the sun's rays and the plane of the earth's equator; it can be found using Equation 3:
 Thus, the solar elevation at any given time and place can be calculated based on 3 inputs: local latitude, current hour, and current date.

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The construction of the parabolic cooker went fairly smoothly due to the careful and lengthy design process. The team began construction on the cooker Nov. 28, 2009 and attached the table top Dec. 8, 2009. Work began on the secondary reflectors first, since they required the most construction time. Side panels for the secondary reflector were cut from ¼" plywood. Next, the fins were cut from ¼" plywood. These fins would attach the sheet metal to the side panels and form the parabolic shape of the secondary reflectors. The fins were designed such that the sheet metal would slide into slots cut into the fins at the top, and strips of ¼" plywood were glued in a straight line along the base of the side panel to hold the bottom of the sheet metal. ½" plywood strips and wood glue were used to attach the fins to the side panels. Pieces of ¼" plywood were glued to the bottom curve of the side panels to fold the parabolic shape of the primary reflector.  See figure 1 below for further details. Image Removed
 

 Figure 1 - Construction of Secondary Reflectors The frame of the cooker was built next. This was fairly simple as it was constructed entirely from 2X4 boards, and held together by 2" wood screws. The entire reflector assembly was attached from the side panels of the secondary reflector to the frame by two bolts. The three figures below provide additional details

                    that the sheet metal would slide into slots cut into the fins at the top, and strips of ¼" plywood were glued in a straight line along the base of the side panel to hold the bottom of the sheet metal. ½" plywood strips and wood glue were used to attach the fins to the side panels. Pieces of ¼" plywood were glued to the bottom curve of the side panels to fold the parabolic shape of the primary reflector.  See figure 1 below for further details.                 

The frame of the cooker was built next. This was fairly simple as it was constructed entirely from 2X4 boards, and held together by 2" wood screws. The entire reflector assembly was attached from the side panels of the secondary reflector to the frame by two bolts. The three figures below provide additional detail. Image Removed

Figure 2 - Building the Frame

 

Image Removed

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Once the secondary reflectors were attached to the frame, the primary reflector was slid into place, and 4 struts were attached underneath the sheet metal reflector, connecting the secondary reflectors together. This completed the reflector assembly, which is able to effectively "swing" from the frame to compensate for the varying solar angles. The struts were attached to the side panels of the secondary reflector using metal L-brackets and 1" wood screws.

The basic cook top was made from ½" plywood. A 10" diameter hole is cut in the middle. A 10" hole was the design specification the team had calculated given the parabolic shapes of the reflectors. The cook top and hole have not yet been insulated to prevent the cook top from burning. See figure 5 below for further detail.

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Future Testing

The concentrated solar cooker prototype has only recently been completed, so the team is looking forward to testing it as much as possible. Initially, the maximum temperature the cooker is able to reach would like to be known, simply by running tests outside in varying conditions. Also, different reflective materials could be tested, keeping in mind the materials available in Nicaragua. As the design is a prototype, testing would initially be aimed toward finding out if the cooker performs to the standards it was designed for.

Future Modifications

There are a number of future modifications possible for the concentrated solar cooker. The reflective surface of the cooker may be increased, or decreased depending on its current power output, as well as different cook top designs could be used. The team has considered a few different cook top designs to hopefully allow the cooker to have more than one cooking area. Also the team has future plans to attach to the cook top something that would effectively control the amount of light coming through the hole, and thus control the temperature.  Portability and durability are other areas the team would like to improve on the cooker.

Critical Theory Issues and Challenges

With the development of this concentrated solar cooker, the experience of frying a tortilla would completely change.  Currently, the women of Nicaragua use a wood burning stove to heat an aluminum frying pan early in the morning.  The tortillas are all cooked before the children are sent to school and the men of the household leave for work. The sun may not be strong enough early in the morning to actually fry the tortillas effectively, so the women would have to adjust their daily schedule to accommodate for this difference.

Cooking with the team's design would require a basic knowledge of solar insolation and how it changes through the course of the day. The swing would have to be adjusted approximately every fifteen minutes to focus the sun onto the cook top. Moreover, the cooker is obviously more effective when the sun is the strongest, and on days when the sun is in the sky for the longest. Therefore on longer summer days, it may be possible to cook for eight hours, whereas on the shortest winter days, the cooker may only be effective for two hours. Additionally, safety must be addressed. It is important to instruct users on the proper procedure of frying with the cooker. For example, a pot must be in place on the tabletop or the shutter must be closed when focusing the parabolic swing in order to prevent retinal damage.  Looking directly at the focus is damaging to the eye. To bridge this knowledge gap the subgroup would like to provide a brief Spanish language manual, and provide a tutorial for cooker usage and safety upon arrival in Nicaragua during spring break.