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The paper describes an analytical approach that models the vaporization, ignition and combustion of liquid fuel droplets in a heated environment of homogeneously mixed gaseous fuel and air at constant pressure such as taking place in dual fuel engines of the compression ignition type. Results are presented typically for the ignition and combustion of n-heptane droplets initially introduced cold into a heated homogeneous surrounding of methane-air mixtures. Variations in various parameters in space and time, such as temperature, the concentrations of the two fuels, oxygen, and products of combustion, rates of energy release, etc. are presented and discussed.