Parameter free aggregation model for soot formation

In this article we present a parameter free aggregation model for soot formation. Each soot particle is represented as a fractal aggregate that can be described by its total volume, total surface, and number of hydrogenated sites on its surface. The moments of the joint Probility Density Function (PDF) of these three quantities are solved using the Direct Quadrature Method of Moments (DQMOM). This method allows for an accurate prediction of the moments without the cost of expensive methods like Direct Simulation Monte-Carlo (DSMC). The source terms for the transport equations include nucleation, coagulation, condensation, surface growth, and oxidation. The model, referred to as Volume-SurfaceHydrogen (VSH), is applied insimulations of a series of rich laminar premixed flames. The model is able to predict soot volume fraction and primary particle diameter with good accuracy. Furthermore, it also gives insight into the surface reactivity of soot particles at high temperatures.