Tunborough wrote: ↑Mon Feb 27, 2023 8:08 pmI was assuming an air density for 21 C, but it's interesting that the model lines up even better when I use 20 C. We'll want to keep an eye on the temperature.
If that sort of temperature difference is relevant the density of the air in the flow meter might be.
Equations here:
https://en.wikipedia.org/wiki/Density_of_air having laboured to put that into a spreadsheet I looked for some numbers to check against and found this:
https://www.omnicalculator.com/physics/air-density which would have saved lot of trouble. It gives the same numbers - so either Wikipedia is right or the people who did the calculator used that as well. (I think some related Wikipedia pages may have typos)
Over the range of my wall barometer (950 to 1050 mb) air density varies +/- 5% from that at a standard pressure of 1000 mb (one atmosphere is a bit more). As with car speedometers I guess the real world and Terry's workshop rarely go to full scale.
360mm of water is 35mb, which is a 3.5% change in density as the flow goes up with that pressure.
Going up from 20 degrees C to 25 is a 1.7% drop in density
Those calculations are for dry air. At 20 centigrade the difference between 0% and 100% humidity is about 1%
In the context of flow meters trill earlier gave an equation that had drag varying with directly with
density [edit to corrected - wrongly put
pressure originally]and with the square of gas velocity. As flow is proportional to velocity (at one point in the meter) I suspect that the flow meter reading varies with the square root of density. I think a floating bead type meter is a 'variable area flow meter'. There is a calibration equation on this page:
https://www.brooksinstrument.com/en/blo ... gas-with-a though it is not clear if it's for the same sort of meter.
Not a big problem for us whistlers but maybe Tunborough needs Terry's workshop T, P and humidity.