A new method for predicting spray dynamics was recently developed, called the maximum entropy moment closure (MEMC) model. In this article, we test the method on a simplified quasi-one-dimensional spray problem to assess its viability. The governing equations of both the discrete and continuous phases are simplified to account for the flow geometry, and submodels are introduced to close the terms representing turbulence modification and momentum exchange between the phases. Results are presented for both a positive slip velocity and a negative slip velocity case, showing profiles of quantities of interest including expected number density, expected diameters and expected droplet velocity. For comparison, a Lagrangian simulation was performed and its results are discussed in the context of the new models results. It is found that the MEMC model is capable of accurately predicting low-order spray statistics using significantly less CPU time than a Lagrangian particle-teaching method. Although several significant issues remain to he addressed, to date the model shows promise as a potentially cost-effective, accurate alternative to present spray treatments.