scholarly journals Numerical approximation to the general kinetic model for ASL quantification

2020 ◽  
Vol 84 (5) ◽  
pp. 2846-2857
Author(s):  
Nam G. Lee ◽  
Ahsan Javed ◽  
Terrence R. Jao ◽  
Krishna S. Nayak
Keyword(s):  
Kinetic Model ◽  
Numerical Approximation

scholarly journals Nonconservative hyperbolic systems in fluid mechanics

2018 ◽  
Vol 64 ◽  
pp. 1-16
Author(s):  
Denise Aregba-Driollet ◽  
Stéphane Brull ◽  
Xavier Lhébrard
Keyword(s):  
Kinetic Model ◽  
Magnetic Fields ◽  
Fluid Mechanics ◽  
Numerical Approximation ◽  
Hyperbolic Systems ◽  
Euler System ◽  
Kinetic Approach ◽  
Nonconservative Hyperbolic Systems

This paper is devoted to the numerical approximation of nonconservative hyperbolic systems. More precisely, we consider the bitemperature Euler system and we propose two methods of discretization. The first one is a kinetic approach based on an underlying kinetic model. The second one deals with a Suliciu approach when magnetic fields are taken into account.

scholarly journals Kinetic Model for pH Variation Resulted from Interaction of Aqueous Solution Contaminated with Nickel Ions and Cement Kiln Dust

2020 ◽  
Vol 2020 ◽  
pp. 1-11 ◽  
Author(s):  
Dooraid N. Ahmed ◽  
Ayad A. H. Faisal ◽  
Salim H. Jassam ◽  
Laith A. Naji ◽  
Mu. Naushad
Keyword(s):  
Kinetic Model ◽  
Adsorption Capacity ◽  
Numerical Approximation ◽  
Cement Kiln Dust ◽  
Cement Kiln ◽  
Solution Ph ◽  
Nickel Ions ◽  
Ph Variation ◽  
Reaction Constant ◽  
Kiln Dust

Reaction term in the transport equation which described the migration of metal ions in the porous medium is frequently represented by conventional kinetic models such as pseudo-first order, pseudo-second order, and others. Unfortunately, these models are applicable for the constant value of solution pH, and they cannot simulate the real situation in the field scale where this pH may be changed with time. Accordingly, the present study is a good attempt to derive the kinetic model that can simulate the change in the pH of the solution through solute transport. This was achieved by modifying the adsorption capacity and reaction constant to be functions in terms of solution pH by using semianalytical analysis and numerical approximation. The results proved that the kinetic model based on the numerical approximation (using exponential functions for adsorption capacity and reaction constant) symbolled as model 2 was more representative from other models applied for the description of interaction of nickel ions (with initial concentration of 400 mg/L) and cement kiln dust with sum of squared error ≤1.54913 and determination coefficient ≥0.889. Also, the developed models had high ability for recognizing between pure precipitation and pure adsorption.

scholarly journals Modelling and numerical approximation for the nonconservative bitemperature Euler model

2018 ◽  
Vol 52 (4) ◽  
pp. 1353-1383 ◽  
Author(s):  
D. Aregba–Driollet ◽  
J. Breil ◽  
S. Brull ◽  
B. Dubroca ◽  
E. Estibals
Keyword(s):  
Kinetic Model ◽  
Numerical Approximation ◽  
Hydrodynamic Limit ◽  
Euler System ◽  
Fluid System ◽  
The Poisson Equation ◽  
The Family ◽  
Euler Model ◽  
Dissipation Property ◽  
Linear Relaxation Approach

This paper is devoted to the study of the nonconservative bitemperature Euler system. We firstly introduce an underlying two species kinetic model coupled with the Poisson equation. The bitemperature Euler system is then established from this kinetic model according to an hydrodynamic limit. A dissipative entropy is proved to exist and a solution is defined to be admissible if it satisfies the related dissipation property. Next, four different numerical methods are presented. Firstly, the kinetic model gives rise to kinetic schemes for the fluid system. The second approach belongs to the family of the discrete BGK schemes introduced by Aregba–Driollet and Natalini. Finally, a quasi-linear relaxation approach and a Lagrange-remap scheme are considered.

A KINETIC MODEL FOR THE CRYSTAL VIOLET MINERALIZATION IN WATER BY THE ELECTRO- FENTON PROCESS

2008 ◽  
Vol 7 (1) ◽  
pp. 9-12 ◽  
Author(s):  
Ilie Siminiceanu ◽  
Carmen-Ionela Alexandru ◽  
Eric Brillas
Keyword(s):  
Kinetic Model ◽  
Crystal Violet ◽  
Fenton Process

Achieving Procedure of a Kinetic Model to Predict the Influence of the Process Global Temperature on a Technological Alcoholic Fermentation II. An Arrhenius type Kinetic Model

2008 ◽  
Vol 59 (4) ◽  
Author(s):  
Neculai Catalin Lungu ◽  
Maria Alexandroaei
Keyword(s):  
Experimental Data ◽  
Saccharomyces Cerevisiae ◽  
Kinetic Model ◽  
Economic Efficiency ◽  
Fermentation Process ◽  
Alcoholic Fermentation ◽  
Global Temperature ◽  
Medium Temperature ◽  
Biotechnological Process

The aim of the present work is to offer a practical methodology to realise an Arrhenius type kinetic model for a biotechnological process of alcoholic fermentation based on the Saccharomyces cerevisiae yeast. Using the experimental data we can correlate the medium temperature of fermentation with the time needed for a fermentation process under imposed conditions of economic efficiency.

Five-Lump Kinetic Model for the Catalytic Cracking Process\

2018 ◽  
Vol 69 (10) ◽  
pp. 2633-2637
Author(s):  
Raluca Dragomir ◽  
Paul Rosca ◽  
Cristina Popa
Keyword(s):  
Kinetic Model ◽  
Programming Language ◽  
Catalytic Cracking ◽  
Computational Method ◽  
Industrial Data ◽  
New Model ◽  
Optimization And Control ◽  
Cracking Process ◽  
And Control ◽  
Matlab Programming

The main objectives of the present paper are to adaptation the five-kinetic model of the catalytic cracking process and simulation the riser to predicts the FCC products yields when one of the major input variable of the process is change. The simulation and adaptation are based on the industrial data from Romanian refinery. The adaptation is realize using a computational method from Optimization Toolbox from Matlab programming language. The new model can be used for optimization and control of FCC riser.

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