The role of diffusion in the kinetics of phosphate desorption: the relevance of the Elovich equation

Pavlatou, Athena; Polyzopoulos, N. A.

doi:10.1111/j.1365-2389.1988.tb01228.x

Cited by 85 publications

(38 citation statements)

References 30 publications

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“…Among the used models power function, parabolic diffusion and Elovich were chosen as the suitable models while the first, second, and the third order kinetics showed weaker fitness for the data. Pavlatou and Polyzopoulos (1988) proposed that the Elovich equation applies to desorption reactions, which are kinetically controlled by diffusion. This is evidenced by the close relationship between overall diffusion constants.…”

Section: Resultsmentioning

confidence: 99%

Zinc desorption kinetics in wheat (Triticum Aestivum L.) rhizosphere in some sewage sludge amended soils

Motaghian

Hosseinpur

2013

J. Soil Sci. Plant Nutr.

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The objectives of this study were to determine Zn desorption characteristics and the correlation of these parameters with Zn extracted by DTPA-TEA method in bulk and rhizosphere amended soils with sewage sludge under greenhouse conditions by using a rhizobox. For amended soils 10 g of sewage sludge was added to 1 kg of 10 soil samples. The kinetics of Zn desorption in bulk and rhizosphere was determined by successive extraction with DTPA-TEA in a period of 1 to 504 h at 25±1 0 C. The results showed that Zn extracted using successive extraction in the rhizosphere were significantly (p<0.01) higher than in the bulk amended soils. The best model for describing extraction data for bulk and rhizosphere soils was the power function equation. The results indicated that Zn desorption rate in the wheat rhizosphere soils more than bulk soils. The results showed that significant correlation (p<0.05) between Zn desorption characteristics and DTPA-TEA-Zn were found in the bulk and rhizosphere soils. The results of this research revealed that Zn desorption characteristics that are help to estimate the Zn supplying power of soils in the wheat rhizosphere, are quite different than bulk amended with sewage sludge.

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Section: Resultsmentioning

confidence: 99%

Zinc desorption kinetics in wheat (Triticum Aestivum L.) rhizosphere in some sewage sludge amended soils

Motaghian

Hosseinpur

2013

J. Soil Sci. Plant Nutr.

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“…The Elovich model, originally proposed by Roginsky and Zeldovich (1943) (McLintock 1967) has been used to describe the sorption kinetics of gases on heterogeneous surfaces (Low 1960) and also to study the heterogeneous sorption kinetics of many types of systems (Chien and Clayton 1980;Ho and McKay 1998a;Igwe and Abia 2007;Pavlatou and Polyzopoulos 1988;Perez-Marin et al 2007). The traditional linear form of the Elovich model, as given by Perez-Marin et al (2007) is:…”

Section: Model Backgroundmentioning

confidence: 99%

Kinetic model selection and the Hill model in geochemistry

Turner

Henley

Sleap

et al. 2014

Int. J. Environ. Sci. Technol.

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This study introduces the Hill model for modelling sorption kinetics and illustrates its efficacy using formal model selection procedures. Although the coefficient of determination (R 2 ) value can be used to ensure goodness-of-fit of a particular model to a set of data, a measure that incorporates the number of model parameters, such as the Bayesian information criterion, law of iterated logarithm criterion, Akaike information criterion, and the extra sum-of-squares F-test is necessary to undertake reliable model selection. This study undertook a formal model selection procedure based on these criteria, in combination with the coefficient of determination, for a range of candidate kinetics sorption models [the pseudo-second order (PSO), the intra-particle diffusion (IPD), Power, Elovich, and the four and five parameter Hill models]. It was found that the model order that statistically best described the data was Hill 5 [ Hill 4 [ pseudo-second order [ Elovich [ Power [ IPD as given by the evidence ratios, information criterion weights and Bayes factors. The extra sum-of-squares F-test, only applicable to nested models, confirms the best fit order as Hill 5 [ Hill 4 [ PSO models. Two new parameters (T and k Hill ) have also been defined that give the Hill models a mechanistic meaning directly comparable to the well-defined parameters of the pseudo-second-order model, namely, the pseudo-secondorder rate constant k pso and the instantaneous sorption coefficient h pso . In the field of geochemistry the use of the four and five parameter Hill models for describing sorption kinetics has been overlooked with many studies favouring the PSO model. It is strongly recommended that the Hill model be considered more widely as a general predictive tool in geochemistry.

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“…One is adsorption isotherm model for studying the phosphorus distribution during the equilibrium, such as Langmuir model and Freundlich model [17]. Another is adsorption kinetic model for studying the dynamic phosphorus distribution with time increasing, such as Elovich equation [18], parabolic equation [6] and Langmuir model. According to the theory proposed by Huang S.L.…”

Section: Adsorption Parametersmentioning

confidence: 99%

Numerical Simulation of the Interaction between Phosphorus and Sediment Based on the Modified Langmuir Equation

Wang

et al. 2018

Water

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Abstract:Phosphorus is the primary factor that limits eutrophication of surface waters in aquatic environments. Sediment particles have a strong affinity to phosphorus due to the high specific surface areas and surface active sites. In this paper, a numerical model containing hydrodynamics, sediment, and phosphorus module based on improved Langmuir equation is established, where the processes of adsorption and desorption are considered. Through the statistical analysis of the physical experiment data, the fitting formulas of two important parameters in the Langmuir equation are obtained, which are the adsorption coefficient, k a , and the ratio k between the adsorption coefficient and the desorption coefficient. In order to simulate the experimental flume and get a constant and uniform water flow, a periodical numerical flume is built by adding a streamwise body force, F x . The adsorbed phosphorus by sediment and the dissolved phosphorus in the water are separately added into the Advection Diffusion equation as a source term to simulate the interaction between them. The result of the numerical model turns out to be well matched with that of the physical experiment and can thus provide the basis for further analysis. With the application of the numerical model to some new and relative cases, the conclusion will be drawn through an afterwards analysis. The concentration of dissolved phosphorus proves to be unevenly distributed along the depth and the maximum value approximately appears in the 3/4 water depth because both the high velocity in the top layer and the high turbulence intensity in the bottom layer can promote sediment adsorption on phosphorus.

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The role of diffusion in the kinetics of phosphate desorption: the relevance of the Elovich equation

Cited by 85 publications

References 30 publications

Zinc desorption kinetics in wheat (Triticum Aestivum L.) rhizosphere in some sewage sludge amended soils

Zinc desorption kinetics in wheat (Triticum Aestivum L.) rhizosphere in some sewage sludge amended soils

Kinetic model selection and the Hill model in geochemistry

Numerical Simulation of the Interaction between Phosphorus and Sediment Based on the Modified Langmuir Equation

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