Posted by JA on 03/08/2019 11:57:00:
Posted by SillyOldDuffer on 03/08/2019 11:21:54:
Posted by Bazyle on 03/08/2019 10:49:03:
Maybe not. A syphon can only apply one atmosphere to overcome the friction per 30 ft pipe…
Or maybe that's wrong too!
I think I'm correct in saying that no-one understands how siphons work….
Dave
Sorry, siphons are simple. A bit of fluid dynamics –
Looking at the BBC news site the dam is about 45 ft. Let us have a siphon pipe, 1 foot diameter, full of water from and to the bottom of either side of the dam. With the dam full the water pressure difference between the leak surface and bottom of the dam is
height of water x density of water = 45 x 62.4 [lb/ft^3] = 2808 [lbf/ft^2] = 19.2 [lbf/in^2]
This drive the flow of water whose velocity can be calculated using Bernoulli's equation (really conservation of energy). The velocity in the pipe is
square root of (2 x pressure difference / water density) = (32.2 x 2 x 2808 / 62.4)^0.5 = 54 ft/s
[the 32.2 is required because imperial units gets into a bits of a mess when handling mass and force]
The water flow rate can then be calculated for the full reservoir
water velocity x pipe cross sectional area = 54 x 3.1415/2 x 1^2 = 85 ft^3/s = 530 gallons/s
…
Many thanks for the maths, I accept JA's logic entirely, but I don't think it explains how siphons actually work.
Isn't this failure to explain rather than describe generally true of all formula? Maths allow natural phenomena to be quantified and predicted, which is extremely valuable. But formula don't explain anything, they're just models. It's true formula improve understanding by eliminating explanations that don't match the numbers, but – bottom line – they don't explain physical causes. (A nice example of elimination by maths in JA's post : the sums don't feature atmospheric pressure, strongly suggesting atmospheric pressure is not what drives siphons. Gravity does feature in the formula and thus remains a player. )
Ohms Law is similar. V=IR does not explain electricity. V=IR works without the concept of electrons let alone the fact that a deeper look proves electron behave like waves (not particles) and particles (not waves), which cannot both be true in ordinary life. Just as well – it means engineers can exploit electricity even though the scientists don't fully understand it.
Are liquids in a siphon pushed from the high pressure end or pulled from the low? My feeling favours 'pull' but I wouldn't bet the farm on it!!!. Provided the pressure on the output is lower than the pressure on the input and the molecules are bound well enough to their neighbours to haul them through, I can imagine it working. Note a chain being pulled over a lip by the weight of the hanging end has no pressure on the static end – there is no push at all. Also, provided the tube is full and output is lower than input it is not necessary to suck on the end to start a siphon.
Curiosity about such things is valuable. Huge engineering benefits have come from science penetrating deeper in to the workings of the natural world. Chasing electrons has given us a much better model of the atom, resulting in laser beams, semi-conductors, advanced communications and chemical engineering, and much, much else. I doubt understanding siphons will open the door to Nirvana but who knows?
Possibly a parallel between siphons and global warming. Lack of conclusive scientific proof and a full understanding of the mechanism does not mean the results cannot be predicted…
Dave