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

Dibakar Mahalanabish, Debopam Das, Jonathan Neudorfer

Abstract


This paper presents the analytical solution of a steady incompressible
viscous fluid flow through a square channel
with circular pores on the wall through which small outward
normal suction is imposed. The outlet end of the channel
is plugged off so that the entire flow is forced through the
porous walls. Removal of this plugged end boundary condition
makes it Berman’s solution [2]. This report has reduced
the Navier-Stokes equations applicable to this particular
flow scenario to sets of 2nd and 3rd order non-linear
differential equations. Using method of perturbation these
non-linear differential equations are solved with appropriate
boundary conditions for small outward suction velocity.
This formulation is based on the inlet channel of Diesel Particulate
Filter (DPF) used in filtering soot particles coming
out of diesel automotive engines. Solution of this flow provides
differential pressure generated in the inlet channels in
algebraic form. This makes it suitable for implementation in
real-time.

Keywords


Diesel Particulate Filter, Electronic Control Unit, Real-time, Perturbation Method

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References


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DOI: https://doi.org/10.37591/joaea.v5i3.1446

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