Ok, the area of the opening can be calculated as follows (but that's not exactly relevant (see below):
Area of outer circle (i.e. barb inlet area) minus area of inner circle. This'll give the area of a ring. Now I assume you're fixing to make this opening with an endmill, and so, if it runs in a 180 degree circle, you'll be left with an opening that's half of the calculated area (above), plus the area of the tip of the endmill.
Of course we're trying to get to where we know what size endmill to use.
I'll have to calculate the hydraulic equivalent of a slit: the flow restriction isn't the same as the corresponding sized round opening. Once I know, using the flow specs calculated (from above), I can determine the expected flow rate, and then calculate the slit size.
I'll try to optimize it all for your pump to be at its highest efficiency.
So now I need to know the material thickness, through which this slit will be cut. Also, I am assuming that there are no other restrictions, from the slit's outlet, and the block's baseplate...
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