Comparison of simple particle-radiation coupling models applied on a plasma black process

The effect of soot formation on the radiative heat transfer inside a plasma reactor for carbon black synthesis has been modelled. For this purpose, three methods to quantify the soot volume fraction have been tested and evaluated: (1) Assuming local thermodynamic equilibrium, (2) assuming instantaneous conversion of the hydrocarbon and (3) using a single-step soot model These approaches have been studied using a two-dimensional axis-symmetric and a three-dimensional steady computational fluid dynamics (CFD) model based on the commercial software FLUENT (v.5.6). The CFD model includes turbulence effects (by standard k-epsilon model), an electric arc sub-model to describe the time-average and spatial-average Lorentz forces and ohmic heating generated by the three-phase power-supply, methane transport in a nitrogen plasma and radiation calculations. The calculations show that for the simulated operating conditions the resulting temperature distributions obtained are very similar with the three methods in spite of major differences in the treatment of particle formation in the different methods.