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My Parabolic Trough Water Heater | 27 comments (27 topical, editorial)
Re: My Parabolic Trough Water Heater (3.00 / 0) (#10)
by brianc4 on Wed Aug 27th, 2008 at 08:16:56 AM MST
(User Info)

dsmith,

   There are numerous ways of calculating & laying out parabolas! I have seen excel spread sheets ,layout with a T square and many others.

   I downloaded a small freeware computer program from one of the solar cooker sites that gives a quick width / depth / focal point calculation with X & Y coordinates in a text file output that can be imported onto excel or into autocad.

   Unfortunatley what I have found out is that none of the spreadsheet type output programs output a true acurate parabola!!!

   They are handy to get the rough width depth & focal point but from there I draw the parabola in autocad where I can maintain accuracy within a thousandth of an inch!

  Once I have a true parabola I draw the bows & end plates & cut a Steel template with My CNC Plasma Table & used the Templates to cut the pieces out of plywood with a jigsaw. I know I lost some accuracy cutting with the jigsaw on the prototype but all parts on the final version will be cut on the Plasma Table & should hold a tight tolerance.

   I learned how to draw a perfect parabola in autocad based on one of My most prized possesions, which is an old 1940s  drafting & sheet metal layout book.

   The book was written based on hand drafting tecniques but is a breeze to adapt to autocad using automatic guidelines & snap points.

   I use a resolution of a 1/16" of an inch to set all of the points along the parabola which for the proto type trough was 384 intersecting points & guidelines. That many guidelines makes your eyes about cross when drawing the final parabola by using the fitted curve drawing function in my cad program but it is the only accurate way I have found to generate a perfect parabola.

   If you or anyone else is interested in how to layout a parabola by this method let me know and I will send them a copy of the instructions from the book along with my crib notes on how to adapt them to autocad.
Brian Clark

[ Parent ]



Re: My Parabolic Trough Water Heater (3.00 / 0) (#11)
by BigBreaker on Wed Sep 3rd, 2008 at 10:08:22 AM MST
(User Info)

The math of a parabola is pretty easy, y = a * x * x.  To find the focus just put 2 units (inches, feet, whatever) in for "x", find y and then the reciprocal, IE 1 divided by "y".  That's your focal length.  Alternatively the take your desired focal length, take the reciprocal and multiply by 4 to find "a" and plot your curve.

http://en.wikipedia.org/wiki/Parabola

I think graph paper and a hand calculator would be plenty to draw a near perfect template.  Also there are drafting aids like "soft" rulers that you can use to fit a curve to multiple points.

I wonder if there is a mechanical method of drawing it like there is for an ellipse, and obviously a circle.  A parabola is a conic section like an ellipse and a hyperbola, so there is definitely a good shot.  Ok there is a method but it isn't very practical.  You'd need some very inelastic string as a parabola is basically an ellipse with one focus out in infinity.

[ Parent ]



Re: My Parabolic Trough Water Heater (3.00 / 0) (#12)
by TomW on Wed Sep 3rd, 2008 at 12:37:37 PM MST
(User Info)

BB;

I wonder if there is a mechanical method of drawing it like there is for an ellipse, and obviously a circle.  A parabola is a conic section like an ellipse and a hyperbola, so there is definitely a good shot.

mkseps posted this link above in #9 I think:

http://home.germany.net/100-441770/amsi-model.html

It looks easy just a T square, string, a pencil and a couple pins. No math just draw it.

Tom

"Education consists mainly of what we have unlearned."--Mark Twain
[ Parent ]



Re: My Parabolic Trough Water Heater (3.00 / 0) (#13)
by BigBreaker on Thu Sep 4th, 2008 at 07:36:40 AM MST
(User Info)

Very neat link - thank you.  I was going to suggest approximating a parabola with a very eccentric ellipse.  You can use just a string to make an ellipse so it requires very little in the way of equpiment.

Adding in a t-square is no great burden and using it in the way suggested on that website looks easy and accurate - no approximations.  I like it.

[ Parent ]



My Parabolic Trough Water Heater | 27 comments (27 topical, 0 editorial)

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