Mathematical modeling of the flow and spreading mechanics of a cryogenic fluid poured into the sea forming a pool, and the subsequent thermal plume coming from fires of turbulent diffusion, with conservative integral formulation considering the balance between the quantity poured from the ship and that which vaporizes in the pool. The contributions of the mechanisms of heat transfer at the interface between the substrate and the cryogenic film and the radiative feedback coming from the combustion in the lowest region of the thermal plume and the pool are taken into account. The modeling provides a scheme for the development of dimensionless scale parameters, allows correlation and extrapolation of the length or height of the visible flame with the slope of said flame, the emissive power of its surface, and mass flow rate of vaporization of the liquid fuel in the pool.
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