Instantaneous heating of a flowing spray

The interaction between a cold liquid fuel spray and a cold gas stream flowing inside a locally heated circular duct is analyzed with allowance for the heating zone location, wall radiation, and ambient convection. The history of the fuel spray and the gas properties are predicted along the flow direction for various spray distributions and liquid-to-gas ratios. This is achieved through simultaneous solution of gas energy, momentum, and continuity equations along with the equation of state coupled with the conservation equations of liquid sprays. The work is relevant to the localized heating of a cold fuel-air mixture in the induction system of certain engines and to the control of the behavior of such systems.