Journal of Automobile Engineering and Applications

Physical Real-time Model of Diesel Particulate Filter using Second-order Perturbation Method

  1. Dibakar Mahalanabish
  2. Debopam Das
  3. Jonathan Neudorfer

Abstract

This paper presents the analytical solution of a steady incompressibleviscous fluid flow through a square channelwith circular pores on the wall through which small outwardnormal suction is imposed. The outlet end of the channelis plugged off so that the entire flow is forced through theporous walls. Removal of this plugged end boundary conditionmakes it Berman’s solution [2]. This report has reducedthe Navier-Stokes equations applicable to this particularflow scenario to sets of 2nd and 3rd order non-lineardifferential equations. Using method of perturbation thesenon-linear differential equations are solved with appropriateboundary conditions for small outward suction velocity.This formulation is based on the inlet channel of Diesel ParticulateFilter (DPF) used in filtering soot particles comingout of diesel automotive engines. Solution of this flow providesdifferential pressure generated in the inlet channels inalgebraic form. This makes it suitable for implementation inreal-time.

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