In slalom racing, blade width and length has settled on ~20" long by 7 3/4" wide. I use slalom paddles. I ordered one just 1/2" wider than the "standard," and there was too much load per stroke, lowering the rate I needed to make tracks.
In marathon flatwater racing, blade width, length, and area, have also been standardized by what makes for winning, over at least 5 decades of experience.
So, while you fool around with physics (I have 6 semesters at MIT), keep focused on what has worked for those most serious at covering water, the racers.
Recreational Kayak Paddle
Custom Greenland Paddles
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