How to solve a circulation and demand problem with Ford-Fulkson if there is a lower bound for outgoing flow from a node?

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Instead of having an edge that requires a lower bound to flow through, is there a way to tweak the Ford-Fulkerson algorithm to solve a circulation and demand problem where a node must have a flow going outside towards other nodes? Note that this is also in addition to needing to consider the maximum capacity on each edge as well.

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