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Home > pages > notes > homebrew > fermentor-from-2013-08-08.html
Fermentor (from 2013-08-08)
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I wanted to be able to get a good estimate of my final wort volume from the fluid level in the fermentor. I taped apiece of paper_flush with the counter and the fermentor wall_ and I added a cup of water at a time. I shined a flashlight into the liquid so I could see the line and I noted it.
I made a cubic regression in Matlab. Linear looked okay until you looked at the error and saw that the error was _not_ evenly distributed.Quadratic looked fine but I knew from the math, that the volume is related to r^2*h and h is related to r. Basically, a cubic is what the math says. Below is my data and the final Matlabcoefficients:
V(h)=c0 + c1*h + c2*h^2 +c3*h^3
c0:-1.695513348027587
c1:1.399445832910603
c2:0.018361545876323
c3:-0.000225590344486
The data is below:
Height (cm)
Volume (cups)
1.8
1
2.65
2
3.3
3
3.8
4
4.55
5
5.2
6
5.75
7
6.4
8
7.15
9
7.65
10
8.15
11
8.85
12
9.5
13
10.1
14
10.6
15
11.25
16
12.35
18
13.55
20
14.6
22
<small> Original Wordpress ID and Date: 6504, 2013-08-19_114733 </small>