i want to know if an Archimedes screw pump is more eficent that a modern screw pump to elevete clean waters 4 meters i saw many modern screw pumps smaller and want to now about the efcency of ths two types.
I did a reverse image search, and it seems -- like blacksmith37 said -- that it's a progressive cavity Mono™ pump (or MOYNO™ for the Americas [no citation]). This is most likely where the image came from, and here are the specifics for that pump. Apparently, it specializes in viscous and chunky fluids. It seems pretty nice to me, but then again I'm not a pump expert.
My guess is that because it is an all-purpose, chunky-fluid, non-clogging pipe, it may be less power-efficient (or, more likely, less power-efficient per cost, as it may be more expensive) than the best models for clean water because of its generality. I don't know what screw pumps you're looking at, but if they're smaller and cheaper than this and will work just as well in clean water, then go for it. And besides, any energy inefficiency is just a drop in the bucket of our bulky SUVs, Stirling engines, and burning oil wells.
Oh, and if I made a mistake, or you have more information, please comment! Thank you!