[QUOTE=The Them]
You guys are nuts. I agree that constructing a 75-mile high column and pumping seawater to the top are simple enough,…
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Compared to say, moving the Earth into a diffenent orbit perhaps. But in the state I like to call “reality” it would be well beyond current engineering capabilities and material strength.
[QUOTE=scr4]
It depends on how fast it’s moving. If the water is ejected at less than 7 km/s or so, it will simply fall back down to earth. If it’s moving faster, but below 11 km/s or so, it will go into orbit around the earth. If it’s faster than 11 km/s, it will break free of earth’s gravity, but it will still orbit the sun. I can’t remember off hand how fast it needs to be to escape the solar system entirely.
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Solar escape velocity is about 42 km/s at Earth’s orbit. Since the Earth has an average orbital speed of about 29.8km/s you’d have a hell of a lot of extra speed to make up.
Assuming our hosepipe is fixed in rotation and you’re not adding any extra energy to the water, you’d have to be at least geostationary orbit (~35.8*10[sup]3[/sup] km) before it wouldn’t automatically fall back down on the Earth. If you are going to give it extra speed at the end, you’re going to need to add about 6.5km/s. Either way, the pressure required to sustain a free-standing column of water is going to cause cavitation–that is, the force holding up the water and the attraction of gravity pulling down on the water is going to make an internal pressure so low that the water will become vapor and the column will collapse.
[QUOTE=Peter Morris]
Just tell me something about transpiration in trees. The loss of water at the leaves pulls up the water through the xylem, is that correct? There’s no other mechanism needed to push the water up, is that right? And this alone allows the water to go higher than 30’. Is that right, or have I misunderstood?
Is there any limit to how high water can go through transpiration?
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The actual mechanic of transpirational pull alone doesn’t draw up water to the branches and leaves in a tall tree; as previously mentioned, there is also the capillary action in the xylum and the fact that, in trees, the water is in a thicker, more viscious colloid which helps suspend it. Fundamentally you can’t consider the xylem to be just a tube with a continuous stream of water suspended and motivated strictly by a pressure differential; it’s more like a sponge, such that when the upper part “dries out” from water being transported to leaves it draws the fluid below it, and so forth, moving more like a series of rocket climbers ascending a chimney than a stream flowing upward. On that basis there is no limit to the height water can be drawn up by such a mechanism because any given section is already self-supporting. A tree just isn’t a good analogue to a hosepipe.
I’m no expert on trees but I would guess that the maximum height of a tree depends on the structural strength of the tree in resisting wind or ice loads and the size of the root ball in terms of both anchoring it too the ground and absorbing enough water to support growth. I doubt that the ability to transport water has any limitation on height.
Regarding the debate over osmosis (and without entering into any of the vituperation), while osmosis–the movement of water across a permeable membrane via a difference in concentrations of ions in solution–is critical to allowing the roots to absorb water, it plays no role in transporting water up the trunk and to the leaves and other living parts of the trees, and indeed, osmotic pressure differences are dramatically smaller than what would be necessary to lift water more than a few inches. Osmosis just isn’t a mechanism by which the overall process of transpiration moves water from the roots to the leaves in trees.
Stranger