Simulating Area Conservation and the Gas-Wall Interface for One-Dimensional Based Diesel Particulate Filter Models
- 22 August 2008
- journal article
- Published by ASME International in Journal of Engineering for Gas Turbines and Power
- Vol. 130 (6), 062807
- https://doi.org/10.1115/1.2939002
Abstract
Researchers have been using one-dimensional based models of diesel particulate filters (DPFs) for over two decades with good success in comparison to measured experimental data. Recent efforts in literature have expanded the classical model to account for the effects of varying soot layer thickness on the flow area of the gases. However, some discrepancies exist with respect to this formulation and the physical phenomena modeled in the channel equations. In addition, there is still some discussion regarding the calculation of the gas temperature within the soot and wall layers. As a result, this paper presents a model to discuss these different phenomena to remove or validate previous assumptions. In specific, formulation of the flow equations in area-conserved format (or quasi-one-dimensional) allows the model to account for the changes in the gaseous area as a function of soot loading. In addition, imposing thermodynamic equilibrium at the interface of the channels and wall layers allows the model to capture the thermal entrance lengths. These tasks were undertaken to illustrate whether or not the results justify the effort is worthwhile and this additional complexity needs to be incorporated within the model. By utilizing linear density interpolation in the wall to increase the computational efficiency of the code, it was determined that the classical model assumptions of neglecting soot thickness and gas temperature in the wall are valid within the range of typical DPF applications.Keywords
This publication has 71 references indexed in Scilit:
- Thermal analysis on metal-foam filled heat exchangers. Part I: Metal-foam filled pipesInternational Journal of Heat and Mass Transfer, 2006
- Simulation of fully developed laminar heat and mass transfer in fuel cell ducts with different cross-sectionsInternational Journal of Heat and Mass Transfer, 2001
- On the effective thermal conductivity of a three-dimensionally structured fluid-saturated metal foamInternational Journal of Heat and Mass Transfer, 2001
- An experimental study of laminar heat transfer in a one-porous-wall square duct with suction flowInternational Journal of Heat and Mass Transfer, 1997
- Experimental studies of laminar flow and heat transfer in a one-porous-wall square duct with wall injectionInternational Journal of Heat and Mass Transfer, 1995
- Developing laminar flow and heat transfer in a rectangular duct with one-walled injection and suctionInternational Journal of Heat and Mass Transfer, 1994
- Laminar heat transfer in the thermal entrance region of circular tubes and two-dimensional rectangular ducts with wall suction and injectionInternational Journal of Heat and Mass Transfer, 1971
- Entrance-region heat transfer for laminar flow in porous tubesInternational Journal of Heat and Mass Transfer, 1971
- Fully developed frictional and heat-transfer characteristics of laminar flow in porous tubesInternational Journal of Heat and Mass Transfer, 1968
- Heat transfer in fully developed laminar flow through rectangular and isosceles triangular ductsInternational Journal of Heat and Mass Transfer, 1967