Temperature Correction/Fluidity of Water

Most of the water calculations are based on a standardized temperature of 20.2 C or 68.4 F. Most water sources applicable to these small turbines run much colder. As water temperature decreases is becomes somewhat thicker. Its velocity decreases and results in a lower flow rate. There is an ugly formulae for figuring the flow rate decrease but it works out to be very close to the fluidity index if taken as a percentage. We get some of the power potential back with an increase in density. There is an intimidating calculus equation for this one. For mechanical power estimates this is adequate. Hydro-electric turbines however have an alternator attached that has a non-linear torque/output curve. The last column in the table shows what the expected power estimate should be as a percentage based on my own observations and experience on my own products as well as others.

Water temperature Flow rate % Turbine
Temp C Temp F Fluidity Index Power estimate
0 32 55.8 50%
1 33.8 57.76
2 35.6 59.78 60%
3 37.4 61.76
4 39.2 63.8
5 41 65.84 70%
6 42.8 67.9
7 44.6 70.01
8 46.4 72.15 80%
9 48.2 74.28
10 50 76.47 85%
11 51.8 78.64
12 53.6 80.89
13 55.4 83.14 90%
14 57.2 85.4
15 59 87.69
16 60.8 90 95%
17 62.6 92.35
18 64.4 94.71
19 66.2 97.1
20 68 99.5  100%
21 69.8 101.94
22 71.6 104.4
23 73.4 106.86
24 75.2 109.38
25 77 111.91
30 86 124.89 110%
35 95 138.4
40 104 152.45
45 113 167 120%