Compwhiz:
Panasonic already makes a "centrifugal washer" that operates almost exactly like your first design. In fact I've got a side-project going to try to get Panasonic to bring their washers into the USA (my company sells Panasonic office telephone systems, I have good contact with Panasonic and they are very good about listening to input). (Not to worry, I thought I invented the horizontal-axis twin tub and then Foraloysius pointed me to a similar one made by Velo. Probably many people here have had the experience of thinking they were first with an idea, and then discovering the prior art on the same concept.)
However your second design is new as far as I can see. Those bucket-type portable washers (Panasonic invented that also, "The Electric Bubble Bucket") could benefit from a means of recirculating water. The "clone" of that machine is available on Ebay, it's the one made by Home Pride. According to someone else here who has one, the agitation uses a pulsator/impeller that's cycled 3 seconds on, 3 seconds off, in one direction only. (The competing version, also sold by Sears, has a bi-directional cycle.)
For the Home Pride unit, with the one-directional cycle, you could have your water inlet coming in at the opposite direction as the whirlpool flow in the wash container; this would tend to break up the whirpool currents at the top and introduce some counterflow turbulence. It might also reduce the tangling effect that tends to occur with pulsator/impellers.
The cost of building a test-model would not be high, so I'd encourage you to try it. Fit a water outlet at the bottom, with a screw-threaded output fitting, and then get an inexpensive centrifugal pump (surplus, or search under "bilge pumps", prices as low as about $16) to return the water at the top. Experiment with various types of inlet nozzles and see what happens. I'd be interested in your results if you want to post them here.