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Research Papers: Internal Combustion Engines

Simulating the Concentration Equations and the Gas-Wall Interface for One-Dimensional Based Diesel Particulate Filter Models

[+] Author and Article Information
Christopher Depcik

Department of Mechanical Engineering, The University of Kansas, 3120 Learned Hall, 1530 West 15th Street, Lawrence, KS 66045-7609depcik@ku.edu

J. Eng. Gas Turbines Power 132(3), 032803 (Nov 30, 2009) (12 pages) doi:10.1115/1.3155792 History: Received November 03, 2008; Revised April 26, 2009; Published November 30, 2009; Online November 30, 2009

This paper enhances an earlier publication by including the concentration equations of motion into the area-conserved one-dimensional based diesel particulate filter model. A brief historical review of the species equations is accomplished to describe this model and the pertinent physics involved. In the species equations through the wall and soot layers, the diffusion constants are modified to account for the close proximity of the porous walls and the particulate matter to the gas flowing through the accompanying layers. In addition, a review of potential options involving the diffusion velocity is accomplished to determine the effect of pressure gradients on this phenomenon. In the previous paper, the model formulation illustrated that a common assumption to make for an enthalpy difference is the use of constant pressure specific heat times a temperature difference. Because of the different heats of formation and sensible enthalpies associated with the chemical species, this assumption reviewed is found to have a related error. Finally, because each channel is treated as an open system, making the common assumption of dilute mixture simplification is reviewed and found to have an associated error.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Square channel schematic illustrating the important geometric and soot parameters

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Figure 2

Comparison of the different diffusion options

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Figure 3

Contour plot of molecular weight through PM and wall layer (dp/dy diffusion option modeled.

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Figure 4

Oxidation and cool down test simulated using the different diffusion velocity options

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Figure 5

Exit oxygen mole fraction comparing three different diffusion velocity options

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Figure 6

Utilizing individual diffusion constant calibrated pre-exponential with dp/dy version

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Figure 7

Comparing the use of cp(ΔT) for enthalpy with actual enthalpy in energy equations (dp/dy diffusion option modeled)

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Figure 8

Comparing the use of dilute mixture simplification (dp/dy diffusion option modeled)

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Figure 9

Difference in the exit mass flow rates between different dilute mixture simplification options

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