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The flow (cubic feet per second) doesnt increase technically. The same amount of water still needs to move through because of the tides.
Before the channel is dredged the water would have to move faster (velocity or feet per second) to get the same amount of water out because there is less cross sectional area for the water to move through. Once the channel is dredged there is a greater cross sectional area for the water to move through so the veloctiy slows.
So once the channel is dredged the water would actually move slower, but would offer more depth. I'm not sure how much they dredge or if the effects are noticable though.
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