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. Air-pressure might have some effect, but can't be the main mover because siphons work in a vacuum. Another hypothesis suggests gravity provides the force rather as the weight of a length of chain pulled over a lip might cause the rest to follow. But this requires us to believe that water is strong enough to pull a large mass of water along behind it, and water has almost no tensile strength. Hmmm.
I wonder if the Fire Brigade are siphoning already? The press aren't noted for technical accuracy, and they might assume that a siphon started by a fire engine pump was still being mechanically pumped. Dunno.
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
This flow will reduced as the water falls and as already pointed out will cease when the water pressure at the top of the siphon approaches a vacuum.
I am sure that some one has posted a similar reply during the twenty minutes it has taken me to post this.
Edited By JA on 03/08/2019 12:27:02