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The present study investigates the pressure drop and filtration characteristics of wall-flow diesel particulate monoliths, with the aid of a mathematical model. An analytic solution to the model equations describing exhaust gas mass and momentum conservation, in the axial direction of a monolith cell, and pressure drop across its porous walls has been obtained. The solution is in very good agreement with available experimental data on the pressure drop of a typical wall-flow monolith. The capture of diesel particles by the monolith, is described applying the theory of filtration through a bed of spherical collectors. This simple model, is in remarkable agreement with the experimental data, collected during the present and previous studies, for the accumulation mode particles (larger than 0.1 μm).

Diesel particulate filter regeneration (through oxidation of the collected soot particles) is not currently possible under all engine operating conditions without additional external thermal energy. The exploitation of the autothermal properties of the reverse flow reactor has been suggested to reduce further the soot ignition temperature and hereby is studied for the periodically reversed flow regeneration of soot particulate filters, with the aid of a mathematical model for the regeneration process, validated against experimental data. The numerical results confirm the capability of the new technique to effectively succeed where conventional regeneration fails, extending thus the operating limits of already practiced regeneration techniques (thermal or catalyst-assisted) and setting the stage for the construction of an industrial prototype.

As use of Particulate Filters (PFs) is growing not only for diesel but also for gasoline powered vehicles, the need for better understanding of deposit structure, growth dynamics and evolution arises. In the present paper we address a number of deposit growth and restructuring phenomena within particulate filters with the aim to improve particulate filter soot load estimation. To this end we investigate the dynamic factors that quantify the amount of particles that are stored within the wall and the restructuring of soot deposits. We demonstrate that particle accumulation inside the porous wall is dynamically controlled by the dimensionless Peclet number and provide a procedure for the estimation of parameters of interest such as the loaded filter wall permeability, the wall-stored soot mass at the onset of cake filtration.