Pretty sharp 8-ball!
You really have to try to visualize the flow, in order to understand it. If the lip is facing the flow then, with the right flow rate and lip height, you'd induce a vortex above the copper.
If the lip is not facing the flow, then the water "sees" a sudden drop in its travel, which causes it to curl, right at the bottom of the channel.
Inducing vortices in the middle of the channel is (mostly) useless. Inducing vortices at the channel surface increases the heat transfer.
If it's any help, try to picture it all on a larger scale, where there's only a thin film of water moving over it.
Nicozeg: nice work! Thanks for the info, and the pics!
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