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Presents the derivation of a set of equations to calculate the critical velocity used in chapter 16 of the Subway Environment Simulation (SES) Computer Program User's Manual. Shows the use of the train-tunnel annular area in the set of equations when calculating the critical velocity for a subway car fire and the use of a full cross-sectional area when calculating the critical velocity for a fire in a tunnel with fuel spillage. The derivation is based on a one-dimensional formulation and Froude number concept. The model couples the energy equation, mass conservation, and scale model test results and inserts then into a Froude number formulation.

KEYWORDS: year 1996, calculating, fire, trains, tunnels, underground railway works, smoke ventilation, air flow rate, smoke