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I realize that the concept of momentum flow is put to good
calculational use by mechanical engineers in static stress
situations.
I might remark that N2 says that it is the NET force on an object
which is equal to the time rate of change of the object's momentum.
To associate a momentum rate of change (or flow) with each of several
forces acting on an object is a bit of a conceptual stretch, although
of no calculational harm.
Perhaps one might distinguish, and associate each individual force
with a "virtual" momentum change (flow) and associate only the NET
force with the actual momentum flow.