I have used an air pump for a fish tank to pump water fairly high but I am curious about how much higher you can pump.
If you have a suitable site and you are curious too, maybe you can answer the question.

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Have you or anyone ever tried cascading and using the same pump with a splitter to power the subsequent airlift section. It seems to me that using the numbers you show in your video 22inches of submergence with 13 feet is about 15% of the head total submergence.
I also saw the comment from Shascho re the Geyser pump but haven't found any real good schematics or video that really show how they go together.
Any way just a thought - has anyone improved on you numbers that you achieved?
I posted it on youtube at https://www.youtube.com/watch?v=6_88_xUd5Zs
Note that new tubing is either too "clean" or has some sort of water repellent coating. This causes problems for airlift until the tubing gets dirty. (Liquid holdup is super good in new tubing but that is a bad thing because you can end up with the water "stuck" in the tube and blocking the system and refusing to move up or leak down. It is a stupid problem but if anyone tries the experiment, be aware of it! Maybe leave your new tubing full of water for a few days before trying the experiment and that should remove the coating (or whatever causes the problem). The first I heard of the problem was from windowfarmers and I didn't believe them until it happened to me. (Because I have done airlift hundreds of times with no issue. (but always with old tubing)).
Cascading works, but it is hard to accurately divide the air in half or in 3rds.
I showed it in windofarms and other people have done it too. You need adjustable valves to get it just right. It is more fiddly than you would expect.
Brian
Have you considered the Geyser pump?
It's the basis of an entire industry.
It allows the air to accumulate at the bottom of the pipe
and by additive increase of its force,
accelerate a smaller 'plug' faster and higher.
I've never seen one in operation,
but here is a good explanation.
http://www.airliftpump.com/index.htm
Keep up the good work, partners!
Thanks to Itsandbits1 for actually taking up the challenge. He is currently the WORLD CHAMPION in this event! (Though I would like video confirmation as proof). (He pumped to 16 ft high). 20 ft or 25 or 35 ft might be attainable!
Wiithin the limits outlined above in the video, feel free to take it up and take the crown away from Itsandbits1 If you do it by 31st and post your video before then, you get to be WORLD CHAMPION for 2011 and nobody can take it away from you!
Now back to your reply, I am afraid accelerating water faster and faster is not good. (Turbulence increases exponentially with the acceleration so you waste too much energy).
And, when the plug is going too fast it degenerates into "bubble flow" and this flow type transfers far less fluid.
The experiment has a couple of reason: First of all this might be a very useful effect (if it pumps a little bit higher) but nobody seems to know the limit. I am really surprised that progress is so slow.
The second reason is social engineering. Many people love science but seem to get drawn to stuff they cannot test (like relativity or that guy with the cat). This is an attempt to draw people to stuff that they CAN test and where they CAN make a useful contribution and CAN collaborate. What stops people doing this? For less than $50 and a couple of hours of your time, you might help design a new type of pump that can save peoples lives. (Because it is so cheap)
Feel free to try it though.
Engineering books (in their sections on airlift pumps) and most of the stuff online does not acknowledge that extremely low pressure air can pump water very high. (I got to 13 ft on about a meter pressure but only because I had ran out of tubes and ladder to go higher). It had no problem whatsoever pumping to 13 ft.
Sure I did not measure efficiency but just getting that high was surprising.
My points are 1 This is a very cheap pump, 2 this might work directly from a solar panel if dc pumps of the right voltage are available 3 It just pumps air and nothing but tubes need go down the well so it should be very robust and 4 Surely it is worth testing just in case it could be of use in poor villages? If you are pumping over 40 ft high, other pumps need quite a lot of hardware down the well, this just needs tubes! Thanks Brian
I will note it at my video. Brian
Then (In Standard International Units) from the maximum pressure that the pump can exert,
p = rho g h
rho = density of water = 1000 kg/m^3
g = acceleration due to gravity = 9.8 m/s^2
p = pressure in Pascals
h = height of water column in metres.
The height will be a little less than this, due to pipe friction, but assuming that you're after only a little trickle at the end of the pipe, it should be pretty close.
Thanks
Brian
it means that having water at ground level (p=10e5 Pascal), you can lift water with a pump that creates depression at a maximum of 10meters.
A good estimation of your pump pressure can be calculated following this.
Bernouilli's principle tells you that :
1/2mV^2 + mgz + P = Constant
which means fluid speed, elevation and pressure are kept along a circuit (forgetting about friction losses, compressible fluids hypothesis, ...)
Fluid Flow (mV) can be estimated counting the time required to fill a known container. (for ex. 4liter bottle is being filled in 30sec : mV=4/30=0.13 kg/sec)
V can be determined as you know m fluid mass (which is easy for water : 1L=1kg)
You can then determine your Constant in your Bernouilli formula.
Given the relevant hypothesis that you are not moving up or down, z in that Equation becomes 0, and therefore the constant gives you the P, which is the pressure at the exit of your pump, when speed is estimated to be zero.
I am using Bernouilli when Pressure is 0 and speed maximum, and Pressure maximum with speed V=0. Overall Energy (the Constant) is being kept.
Although I am not sure the pressure at pump exit will be the same as the pump entry, this can give you an idea.
Let me know if you attempted it...
I just found this description of 2 phase fluid flow http://www.thermopedia.com/toc/chapt_g/GAS-LIQUID_FLOW.html online and it has some math lower on the page. It also has some little videos demonstrating the different flow types which are definitely worth checking out.
The pumping was by plug flow. I am pretty sure it will pump over 10 meters if the plugs maintain themselves well as they go up the pipe.
However, I cannot do this because I do not have a 10 meter height difference on my property.
The maximum length of all the plugs in the pipe was 22 inches. (friction losses and pressure loss with turbulence would be critical to know how high you could go at the max). As a plug exits the pipe, the reduction in pressure means that another plug is formed pretty much immediately at the t- joint at the bottom.
This 10 meter limit exists in the case your pump is higher than the water you want to pump. Theory tells you it is impossible to ''suck'' water from an altitude over 10m. If your pump is at water level, then your pump is pushing the water up, which is a different story.
The thing that I do not understand is that your 98 millibar pump should be able to ''push up'' water up to +-1 meter (using formula given by ancienheart). When you have this water column of 1 meter, the pressure it gives you at the bottom will be equivalent to the pressure of the pump (98 millibar in your case), and therefore, pump pressure would need to be higher to continue to push water. I do believe you but then I am lost with what I understood from the theory... I am probably missing something...
Only when it exits the pipe will there be more water added at the bottom and we get a flow upwards that is at some equilibrium speed.
I have a bunch of videos on my site to try to show and explain airlift. There is also windowfarms. They use this type of airlift extensively and have done for about a year.
The big thing for me is I have no idea where the limits are with this type of "mycro" system and I cannot test to find out!
Maybe low pressure airlift with a meter of pressure and 1/4 inch pipes can lift to 20 ft, maybe 30 ft, or maybe it can lift to 60 ft! Until people try it we will never know. Even if it can only lift to 20 ft, it opens up a whole host of applications that have never even been tried before!
Brian