Two-phase flow 8508 lbm/(sec/ft^2) Only liquid 10779 lbm/(sec/ft^2) Single-Phase

Question

Two-phase flow                               8508 lbm/(sec/ft^2)

Only liquid                                      10779 lbm/(sec/ft^2)

Single-Phase gas (choked)           890 lbm/(sec/ft^2)

The literature states that relief valves are sometimes incorrectly sized for a single gas phase when the relief needs to handle a runaway reaction.  The runaway reaction relief is known to be two-phase flow.  The literature, in fact, states that an incorrectly sized relief will be two to ten times too small.  The data above show that relief sized for a single gas phase will transport more mass/s when transporting two phases.  This seems to be a contradiction.  Explain why these results are not contradictory.  

Explanation / Answer

These results are not contradictory as the two phases are sufficiently well mixed that
they can be described as a

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