A comprehensive modular one-dimensional physics-based mathematical model is developed for non-isothermal compressible flow, pressure drop, and filtration and regeneration processes in wall-flow diesel particulate filters. Employing a modified orthogonal collocation method and symbolic computation in Maple™, the governing partial differential equations are reduced to a control-oriented model governed by ordinary differential equations which can be solved in real time. Numerical examples are provided to indicate the accuracy and computational efficiency of the developed model and to study the different behaviors of wall-flow diesel particulate filters.
Modelling gas flow pressure gradients in gelcast ceramic foam diesel particulate filters
