Mathematical Modelling of Filtration and Catalytic Oxidation of Diesel Particulates in Filter Porous Media
Science article
Общее 
Language:
Английский,
Genre:
Full article,
Status:
Published,
Source type:
Original

Source 
Mathematical Modeling in Social Sciences and Engineering
Monography,
Nova Science Publishers. 2014.
370 c. ISBN 9781631173356.

Output data 
Year: 2014,
Pages: 2740
Pages count
: 14

Tags 
Diesel filter; Mathematical modelling; Soot abatement 
Authors 
Vernikovskaya N.V.
^{1,2,3}
,
Pavlova T.L.
^{1}
,
Chumakova N.A.
^{1,2}
,
Noskov A.S.
^{1,3}

Affiliations 
1 
Boreskov Institute of Catalysis SB RAS

2 
Novosibirsk State University

3 
Novosibirsk State Technical University


The soot abatement in diesel exhaust is a very important task in particular because fine soot particles inhaled by humans do serious damage to their health. The mathematical modelling of soot filtration and catalytic oxidation in diesel particulate filters can help in finding more promising filter design, filter porous materials, running regime, and so on. The used mathematical model consists of nonlinear partial and ordinary differential equations. The nonlinearities can cause rather steep nonstationary profiles of concentrations and temperature which propagate (rather slowly move) along the filter. So the standard numerical schemes are not appropriate here. The new modelling methodology is proposed which is based on the three existing methods and takes advantages of each of them: the method of lines, the running scheme, and the secondorder Rosenbrock method with stepsize adjustment algorithm. Verification of the mathematical model and numerical method is done by means of comparison of the numerical results with the experimental data. The mathematical modelling is realized with taking into account the mass transport of soot particles of each diameter from a lognormal particle size distribution. For estimating the kinetic parameters the method of Errorsin Variables Model with numerical integration is applied. © 2014 by Nova Science Publishers, Inc. All rights reserved.