At steady state what goes in must come out; summing the inlet streams gives the outlet — the foundation of process engineering.
The outlet flow is ṁ_out = ṁ_in1 + ṁ_in2. where ṁ_in1 and ṁ_in2 are the two inlet mass flows.
Sum the inlet flows for the outlet.
With no accumulation, the outlet equals the total inlet. Any imbalance means mass is building up or depleting in the unit.
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