Problem 3: Consider a 50-micron droplet of hexane (CH4) injected into a hot laminar air stream with a gas velocity of Ug = 0.1 m/s at Tg = 1000 K. Assuming the fuel droplet is at its boiling point and begins to vaporize immediately, determine the vaporization length of the droplet from its injection point in the gas flow.
Hexane data: hfg = 365.3 kJ/kg, ĆĀ = 664 kg/m3, Tp = 341.7 K at atmospheric pressure. Assume the droplet surface temperature is the same as the boiling point (normally this temperature needs to be calculated using the relationship between surface temperature, vapor mass fraction just above the surface of the droplet, and the Clausius-Clapeyron equation).