A model of a laminar Burke-Schumann type of diffusion flame is developed in which the fuel is supplied in the form of droplets having an arbitrary initial velocity distribution. The spray of droplets is described using a sectional approach. The governing equations are normalized and various nondimensional parameters associated with the spray and the motion of the droplets therein are identified. Analytic solutions are presented for different assumed droplet velocity distributions. Effects of droplet velocity, dimensionless drag and vaporization coefficients and spray angle parameter on flame height, width and type are illustrated in a discussion of a detailed parametric analysis based on numerous calculations.