|balance in order to find the flow. We can write Bernoulli's equation, which is, in essence we're going to equate the work done by the pump, is going to be equal to the work to overcome delta Z. That's any change in altitude, which you're implying there is none here.|
|57.||Unless we can set up some kind of siphon and have it siphon it over.|
|58.||We could actually do that. Maybe we wouldn't need the pump again.|
|59.||We could get a siphon going. We just dig a hole at the other end.|
|60.||Well, again, you're not going to get much head, and hence not much flow rate. So we probably will need the pump.|
|61.||I'll leave the delta Z in there just in case we can work out--dig a hole at the other end and try to get a little siphon going.|
|62.||In fact, maybe we just dig a canal over there . . . It wouldn't take much work to dig a little trench two miles long, adequate certainly to carry out the irrigation.|
|63.||So let me add another subset to the MOVE WATER--dig a canal.|
|64.||That may take too much work. Initially, at least, we'd use the pipe. In the long run, we'd probably dig the canal.|
|65.||The main thing we're going to have to overcome is the friction due to flow. So I'm going to use my Cameron hydraulic data book, and no self-respecting Tom Swift would be caught without this, loaded with all kinds of friction- loss data in copper and aluminum tubing.|
|66.||Oh, I forgot about the oxygen . . . Let me go back here a second. This is for pure water flow. It's a different calculation if we could augment it with an airlift pump.|
|67.||So, actually this work from the pump is a bit of a lower bound on what we can do, because we can do better than this.|
|68.||We can probably do better than this with airlifting, siphoning, and digging canals.|
Reif, F., Brackett, G. C., and Larkin, J. H. Principles of Physics, preliminary edition. New York: Wiley, 1975.
Simon, D. P. and Simon, H. A. "Individual Differences in Solving Physics Problems". In Children's Thinking: What Develops? Edited by R. S. Siegler, Hillsdale, NJ: Lawrence Erlbaum Associates, 1978.