scholarly journals Nonlinear Inverse Problem for an Ion-Exchange Filter Model: Numerical Recovery of Parameters

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Balgaisha Mukanova ◽  
Natalya Glazyrina
Keyword(s):  
Mathematical Model ◽  
Inverse Problem ◽  
Ion Exchange ◽  
Balance Equation ◽  
Exchange Process ◽  
Material Balance ◽  
Material Balance Equation ◽  
Unknown Parameters ◽  
Kinetics Of ◽  
Kinetics Of Ion Exchange

This paper considers the problem of identifying unknown parameters for a mathematical model of an ion-exchange filter via measurement at the outlet of the filter. The proposed mathematical model consists of a material balance equation, an equation describing the kinetics of ion-exchange for the nonequilibrium case, and an equation for the ion-exchange isotherm. The material balance equation includes a nonlinear term that depends on the kinetics of ion-exchange and several parameters. First, a numerical solution of the direct problem, the calculation of the impurities concentration at the outlet of the filter, is provided. Then, the inverse problem, finding the parameters of the ion-exchange process in nonequilibrium conditions, is formulated. A method for determining the approximate values of these parameters from the impurities concentration measured at the outlet of the filter is proposed.

Kinetics of ion exchange process for separation of glutamic acid

1989 ◽  
Vol 4 (6) ◽  
pp. 249-256 ◽  
Author(s):  
T. H. �zdamar ◽  
S. Taka� ◽  
G. �alik ◽  
R. Ballica
Keyword(s):  
Ion Exchange ◽  
Glutamic Acid ◽  
Exchange Process ◽  
Ion Exchange Process ◽  
Kinetics Of ◽  
Kinetics Of Ion Exchange

scholarly journals History, Introduction, and Kinetics of Ion Exchange Materials

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Sanjeev Kumar ◽  
Sapna Jain
Keyword(s):  
Ion Exchange ◽  
Exchange Process ◽  
Paper Briefly ◽  
Factors Affecting ◽  
Controlled Diffusion ◽  
Ion Exchange Process ◽  
History Of ◽  
Laboratory Tool ◽  
Kinetics Of ◽  
Kinetics Of Ion Exchange

During the last few decades, ion exchange materials have evolved from laboratory tool to industrial products with significant technical and commercial impact. The current paper briefly summarizes the history of the development of the ion exchange materials. The paper defines the ion exchange materials and their types. The paper signifies the kinetics involved in the ion exchange process with description of factors affecting the rate of ion exchange. The mechanism of ion exchange has also been delineated through schematic diagram, illustrating that there are two types of diffusion, film and particle controlled diffusion. A brief of mathematical approach for kinetics of ion exchange has also been incorporated.

SENSITIVITY ANALYSIS AND IDENTIFIABILITY OF A MATHEMATICAL MODEL OF A CHEMICAL REACTION

2021 ◽  
pp. 14-18
Author(s):  
Л.Ф. Сафиуллина
Keyword(s):  
Mathematical Model ◽  
Inverse Problem ◽  
Sensitivity Analysis ◽  
Chemical Reaction ◽  
Reaction Model ◽  
Numerical Calculations ◽  
Specific Reaction ◽  
Uniqueness Of The Solution ◽  
The Mathematical Model ◽  
Kinetics Of

В статье рассмотрен вопрос идентифицируемости математической модели кинетики химической реакции. В процессе решения обратной задачи по оценке параметров модели, характеризующих процесс, нередко возникает вопрос неединственности решения. На примере конкретной реакции продемонстрирована необходимость проводить анализ идентифицируемости модели перед проведением численных расчетов по определению параметров модели химической реакции. The identifiability of the mathematical model of the kinetics of a chemical reaction is investigated in the article. In the process of solving the inverse problem of estimating the parameters of the model, the question arises of the non-uniqueness of the solution. On the example of a specific reaction, the need to analyze the identifiability of the model before carrying out numerical calculations to determine the parameters of the reaction model was demonstrated.

Kinetics of Ion-Exchange Reactions in Hybrid Organic–Inorganic Perovskite Thin Films Studied by In Situ Real-Time X-ray Scattering

2018 ◽  
Vol 9 (23) ◽  
pp. 6750-6754 ◽  
Author(s):  
Alessandro Greco ◽  
Alexander Hinderhofer ◽  
M. Ibrahim Dar ◽  
Neha Arora ◽  
Jan Hagenlocher ◽  
...  
Keyword(s):  
Thin Films ◽  
Ion Exchange ◽  
Real Time ◽  
Exchange Reactions ◽  
Inorganic Perovskite ◽  
X Ray ◽  
X Ray Scattering ◽  
Kinetics Of ◽  
Kinetics Of Ion Exchange
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