An experimental and theoretical study of a catalytic monolith to control automobile exhaust emissions

Experimental investigations of automobile exhaust emissions were examined by combusting a mixture of propane and air within a multi-channel monolith. Chemical kinetics, mass transfer and heat transfer effects were studied using appropriate temperature and flow conditions to separate the effects. The results were used to construct both a one- and two-dimensional mathematical model. Simulations of monolith behaviour were then compared with observed performance. First-order chemical kinetics were observed for the low hydrocarbon concentrations examined in the temperature range 557–648 K, while mass transfer limitation was apparent at temperatures between 736 K and 769 K. Perturbations to inlet concentration and temperature were effected while studying monolith performance, and the responses recorded. Computer simulations using the two mathematical models predicted correct trends, but did not agree quantitatively with the experimental results. The one-dimensional model predicts both concentration and temperature responses to a change in inlet conditions better than the more comprehensive two-dimensional model, even when heat losses are taken into account. This is because experimentally determined heat and mass transfer coefficients are used for computations relating to the one-dimensional model, whereas these parameters were calculated theoretically in the two-dimensional model. Further computer simulations revealed discontinuities in the values of Nusselt numbers, values depending on elapsed time following a step change in inlet conditions and axial position along the monolith channel. This unusual feature is accounted for by a reversal in heat transfer between wall and bulk fluid as the reaction develops along the monolith channel.

1998 ◽  
Vol 65 (1) ◽  
pp. 171-177 ◽  
Author(s):  
S. Mu¨ftu¨ ◽  
T. S. Lewis ◽  
K. A. Cole ◽  
R. C. Benson

A theoretical analysis of the fluid mechanics of the air cushion of the air reversers used in web-handling systems is presented. A two-dimensional model of the air flow is derived by averaging the equations of conservation of mass and momentum over the clearance between the web and the reverser. The resulting equations are Euler’s equations with nonlinear source terms representing the air supply holes in the surface of the reverser. The equations are solved analytically for the one-dimensional case and numerically for the two-dimensional case. Results are compared with an empirical formula and the one-dimensional airjet theory developed for hovercraft. Conditions that maximize the air pressure supporting the web are analyzed and design guidelines are deduced.


1972 ◽  
Vol 1 (13) ◽  
pp. 127
Author(s):  
David Prandle

A one-dimensional numerical model of a 340 mile section of the St. Lawrence River has been formulated to study tidal propagation. For a more detailed study of the flow distribution in a localised section of the river a two-dimensional model was used. A half mile square grid was used to schematise an area of approximately 20 miles long by 15 miles wide. This two-dimensional model was embodied within the one-dimensional model to permit a free interaction of flow across the boundaries. For the one-dimensional case, a comparison of model and prototype results is included for both elevation and velocity. For the two-dimensional model a comparison of flow distribution was made by using field results obtained from photographing ice movement and from drogue movement. To interpret the results of the two-dimensional model into a simple method of flow visualisation, use was made of animation techniques. A movie film was made that demonstrates both tidal rise and fall and the associated horizontal velocities. Elevation was reproduced by use of varying shades of coloured paper to simulate contours, velocities were represented by simulating drogue movement to produce smoke streaks.


2020 ◽  
Vol 26 (7) ◽  
pp. 28-44
Author(s):  
Mariam H. Daham ◽  
Basim Sh. Abed

        One and two-dimensional hydraulic models simulations are important to specify the hydraulic characteristics of unsteady flow in Al-Gharraf River in order to define the locations that facing problems and suggesting the necessary treatments. The reach in the present study is 58200m long and lies between Kut and Hai Cities. Both numerical models were simulated using HEC-RAS software, 5.0.4, with flow rates ranging from 100 to 350 m3/s. Multi-scenarios of gates openings of Hai Regulator were applied. While the openings of Al-Gharraf Head Regulator were ranged between 60cm to fully opened. The suitable manning roughness for the unsteady state was 0.025. The obtained results show that the average velocities for the one-dimensional model were ranged between 0.36 and 0.5 m/s,  and the average water surface elevations range between 15.14 m and 17.84 m. While these values ranged between 0.25 and 0.44 m/s and 14.125 and 18.82 m respectively for the two-dimensional model. The simulation results of the two-dimensional model were more accurate than their corresponding one-dimensional model, due to more agreement of these values with measured values, which achieved minimum values of the root mean square error and the determination coefficient.


Soft Matter ◽  
2021 ◽  
Author(s):  
Claudio Maggi ◽  
Matteo Paoluzzi ◽  
Andrea Crisanti ◽  
Emanuela Zaccarelli ◽  
Nicoletta Gnan

We perform large-scale computer simulations of an off-lattice two-dimensional model of active particles undergoing a motility-induced phase separation (MIPS) to investigate the systems critical behaviour close to the critical point...


AIChE Journal ◽  
2011 ◽  
Vol 58 (8) ◽  
pp. 2545-2556 ◽  
Author(s):  
Cyril Caliot ◽  
Gilles Flamant ◽  
Giorgos Patrianakos ◽  
Margaritis Kostoglou ◽  
Athanasios G. Konstandopoulos

2019 ◽  
Vol 33 (24) ◽  
pp. 1950284 ◽  
Author(s):  
L. S. Lima

Quantum entanglement is studied in the neighborhood of a topological transition in some topological insulator models such as the two-dimensional Qi–Wu–Zhang model or Chern insulator. The system describes electrons hopping in two-dimensional chains. For the one-dimensional model case, there exist staggered hopping amplitudes. Our results show a strong effect of sudden variation of the topological charge Q in the neighborhood of phase transition on quantum entanglement for all the cases analyzed.


Holzforschung ◽  
2002 ◽  
Vol 56 (5) ◽  
pp. 541-546 ◽  
Author(s):  
R. Baronas ◽  
F. Ivanauskas

Summary A model of wood drying under isothermal conditions taking into consideration coating of the surface of a specimen is presented in this paper in a two-dimensional formulation. The influence of the surface coating degree as well as geometrical shape of a wood specimen on the dynamics of drying is investigated. Exponentials, describing the dependence of the halfdrying time on the degree of coating of the edges, as well as on the ratio of the width to the thickness of the transverse section of specimens from the northern red oak (Quercus rubra), are presented for drying from above the fiber saturation point. This paper describes the conditions of usage of the two-dimensional moisture transfer model in contrast to the one-dimensional model for accurate prediction of the drying process taking into consideration the coating of edges of specimens having a rectangular transverse section. A measure of reliability of the one-dimensional model to predict the wood drying process of sawn boards is introduced in this paper.


The application of thermal methods to the study of steady-state combustion is described. Such methods provide a route to information on heat transfer and chemical kinetics which forms a basis for the implementation of numerical models. The experimental results from thermal analysis and temperature profile analysis have been examined within the context of a simple pseudo one-dimensional model of propagation offering some confirmation of the validity of the approach.


1986 ◽  
Vol 52 (476) ◽  
pp. 1734-1740 ◽  
Author(s):  
Hiroshi HAYASAKA ◽  
Kazuhiko KUDO ◽  
Hiroshi TANIGUCHI ◽  
Ichiro NAKAMACHI ◽  
Toshiaki OMORI ◽  
...  

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