Jamicon, I'm gonna try and answer your question now
First Statement
Would you agree that if there are two opposing pumps in a loop, that water would still flow in the direction of the weaker one.
Second Statement
Thus, the weaker pump is merely acting as an obstacle to flow, much as a waterblock or radiator might.
Make sense so far?
Now look at the two pictures below. The one on the left is the one you have drawn.
Would you agree that they are equivalent?
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