Surface Resistance Limited Sorption Kinetics in Zeolite Crystals with a Non-Linear Sorption Isotherm

1986 ◽  
Vol 267O (1) ◽  
Author(s):  
M. Kočiřík ◽  
P. Struve ◽  
M. Bülow
Keyword(s):  
Sorption Isotherm ◽  
Surface Resistance ◽  
Sorption Kinetics ◽  
Linear Sorption ◽  
Non Linear ◽  
Zeolite Crystals

Modeling of transport of radionuclides in beds of crushed crystalline rocks under equilibrium non-linear sorption isotherm conditions

2010 ◽  
Vol 98 (6) ◽  
Author(s):  
S. Palágyi ◽  
Karel Stamberg
Keyword(s):  
Sorption Isotherm ◽  
Regression Function ◽  
Breakthrough Curves ◽  
Simple Method ◽  
Pulse Input ◽  
Advection Dispersion ◽  
Freundlich Equation ◽  
Linear Sorption ◽  
Retardation Coefficient ◽  
Non Linear

AbstractA simple method for fitting the values of the experimental breakthrough curves in the form of pulse response obtained in dynamic flow column experiments is presented. It is based on the equation obtained by the analytical solution of a 1-D advection-dispersion equation (ADE) under defined conditions (equilibrium dynamics, linear sorption isotherm, constant bed height, pulse input), where the concentration (or activity) dependence on the number of pore volumes is expressed explicitly. It is shown that the method can be used in the case of validity of a non-linear Freundlich sorption isotherm if the experimental data are fitted by means of a Newton-Raphson multidimensional non-linear regression procedure in which the regression function consists of the above mentioned ADE equation and of the equation for a retardation coefficient including the first derivative of the Freundlich equation. Values of four parameters, namely, Freundlich equation parameters (

Mathematical Modeling of Sorption on Novel Sorbent Materials 

2021 ◽  
Author(s):  
Adna Koš ◽  
Michal Kuráž
Keyword(s):  
Metal Ions ◽  
Programming Language ◽  
Great Influence ◽  
Langmuir Model ◽  
Parameters Estimation ◽  
Freundlich Model ◽  
Error Functions ◽  
Linear Sorption ◽  
Non Linear ◽  
Sorbent Materials

<p>The emission of metal ions in the environment has increased in recent times and since metal ions are not biodegradable, they belong to the cumulative toxins. Contamination of the environment with metal ions poses a serious danger to the entire ecosystem, agricultural production, quality of food and water, as well as to the health of humans and animals. This study investigates sorption as one of the processes which can be used for pollutants removal and efficiency of certain sorbent materials. Specifically, we focus on development and validation of non-linear Langmuir model and non-linear Freundlich model. Their application in sorption experiments is examined by applying different error functions and statistical methods which are employed to calculate the error divergence between observed data and predicted data of sorbate-sorbent system. Presented non-linear sorption models are developed by using programming language Fortran, and the data analysis is obtained by using different tools and packages in programming language R. Many authors are using linear sorption models in the way that they would linearize non-linear sorption models. It is evident that linear sorption models are used due to their simplicity in parameters estimation. We use approach of trying different algorithms and tools in programming language R in order to find the best objective function. This study shows that both non-linear Langmuir model and non-linear Freundlich model can be used for experimental data representation. The results also denote that better estimation and the better fit is given by Langmuir model due to divergence in error functions and graphical representation itself. The choice of sorption model has a great influence on the prediction of solute transfer and great care should be taken in selection of convenient approach.</p>

Heat and Moisture Transfer in Energy Wheels During Sorption, Condensation, and Frosting Conditions

1998 ◽  
Vol 120 (3) ◽  
pp. 699-708 ◽  
Author(s):  
C. J. Simonson ◽  
R. W. Besant
Keyword(s):  
Sorption Isotherm ◽  
Energy Recovery ◽  
Moisture Transfer ◽  
Operating Conditions ◽  
Type I ◽  
Heat And Moisture Transfer ◽  
Linear Sorption ◽  
Coupled Heat And Moisture ◽  
Energy Wheels ◽  
Heat And Moisture

A numerical model for coupled heat and moisture transfer with sorption, condensation, and frosting in rotary energy exchangers is presented and validated with experimental data. The model is used to study condensation and frosting in energy wheels. Condensation/frosting increases with humidity and at some humidity level, water/frost will continually accumulate in the wheel. The sensitivity of condensation and frosting to wheel speed and desiccant type are studied. The energy wheel performance is also presented during both sorption and saturation conditions for a desicant coating with a Type I sorption isotherm (e.g., molecular sieve) and a linear sorption isotherm (e.g., silica gel). Simulation results show that the desiccant with a linear sorption curve is favorable for energy recovery because it has better performance characteristics and smaller amounts of condensation/frosting for extreme operating conditions.

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