Mathematical models applied to the Cr(III) and Cr(VI) breakthrough curves

Ramirez, C Margarita; Silva, Mônica Pereira da; Ferreira, G L Selma; Vasco, E.

doi:10.1016/j.jhazmat.2006.11.056

Cited by 25 publications

(15 citation statements)

References 24 publications

(37 reference statements)

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“…Biosorption processes are based in the ability of a microorganism to adsorb a metal in an aqueous solution by several physical-chemical processes through the cell's wall; this process does not always involve biomass metabolism, and that is why it does not matter if the microorganisms are dead or alive for the development of such processes [19,20]. A variety of natural materials of biological origin including bacteria, fungi [21,22], algae, mosses, macrophytes and higher plants [23] can decrease the concentration of heavy metal ions from aqueous solution from ppt to ppb level [24,25].…”

Section: Introductionmentioning

confidence: 99%

Application of response surface methodology for optimization of lead biosorption in an aqueous solution by Aspergillus niger

Amini

Younesi

Bahramifar

et al. 2008

Journal of Hazardous Materials

387

146

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Section: Introductionmentioning

confidence: 99%

Application of response surface methodology for optimization of lead biosorption in an aqueous solution by Aspergillus niger

Amini

Younesi

Bahramifar

et al. 2008

Journal of Hazardous Materials

387

146

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“…Se graficó la relación de las concentraciones del H 2 S y el NH 3 de entrada y salida de la columna de adsorción contra el tiempo del proceso de purificación a un flujo promedio de 91,6mL/h (2,2L/día). Se realizó la comparación de las curvas obtenidas con los tres modelos y con los datos experimentales, Figura 3, como lo desarrollaron Ramírez et al [13]. Para la construcción de las curvas de ruptura a partir de los modelos, Ecuaciones 1-3, fue necesario ajustar t o y σ a partir de la curva de ruptura experimental para cada analito.…”

Section: Carbón Activadounclassified

“…Las curvas de ruptura son necesarias para el diseño de las columnas de adsorción para la purificación de corrientes líquidas o gaseosas, gracias a la información sobre el comportamiento dinámico de la concentración del analito en el tiempo [13]. Los modelos matemáticos fueron creados para el ajuste de las curvas de ruptura experimentales y la predicción del proceso de adsorción.…”

Section: Introductionunclassified

Aplicación de Modelos Matemáticos en Curvas de Ruptura de contaminantes del Biogás

Vasco-Echeverri

Ramírez-Carmona

Gómez-Mojica

2016

rev.ion

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ResumenEn este proyecto se purifi có el biogás empleando columnas de adsorción independientes empacadas con carbón activado, limadura de hierro, caolín y carbonato de calcio. Los experimentos se realizaron en columnas de polipropileno de 2cm de diámetro y 9cm de longitud. Las curvas de ruptura se construyeron con un fl ujo de biogás promedio diario de 2,2L. Se tomaron muestras durante 28 días como máximo, a las cuales se cuantifi caron la composición del biogás mediante cromatografía de gases y un analizador de gases en línea. Las curvas se ajustaron a tres modelos matemáticos. En el caso del Carbón activado se obtuvo un coefi ciente de correlación de 0,9987 y 0,9991 para el Sulfuro de Hidrógeno (H 2 S) y el Amoniaco (NH 3 ), respectivamente. En el caso de la limadura de hierro se obtuvo un coefi ciente de correlación de 0,9945 y 0,9975 para el H 2 S y NH 3 , respectivamente. Empleando caolín se obtuvo un coefi ciente de correlación de 0,9994 y 0,9885 para el H 2 S y NH 3 , respectivamente. Con Carbonato de Calcio se obtuvo un coefi ciente de correlación de 0,9988 y 0,9985 para el H 2 S y NH 3 , respectivamente. El porcentaje de remoción del H 2 S y del NH 3 del carbón activado fue del 72,6%, la limadura de hierro fue del 74,1%, el caolín fue del 32,7% y del carbonato de calcio del 65,4%. Palabras clave: Modelos matemáticos, curvas de ruptura, purifi cación de biogás, sulfuro de hidrógeno, amoniaco, adsorción. AbstractIn this project biogas was purifi ed using separate packed bed adsorption columns using activated carbon, iron fi lings, kaolin and calcium carbonate. Experiments were performed in 2cm diameter and 9cm length polypropylene columns. The breakthrough curves were constructed with an average biogas fl ow of 2.2L per day. Samples were taken for almost 28 days, which biogas composition were quantifi ed using gas chromatography and online gas analyser. The curves were fi tted to three mathematical models. Using activated carbon a correlation coeffi cient of 0.9987 and 0.9991 for hydrogen sulfi de (H 2 S) and ammonia (NH 3 ), respectively, were obtained. In the case of iron fi lings a correlation coeffi cient of 0.9945 and 0.9975 for H 2 S and NH 3 , respectively, were obtained. Using kaolin a correlation coeffi cient of 0.9994 and 0.9885 for H 2 S and NH 3 , respectively, were obtained. Finally, using calcium carbonate with a correlation coeffi cient of 0.9988 and 0.9985 for H 2 S and NH 3 , respectively, were obtained. Removal percentage of

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“…The same conclusion may be seen in Figure 9, which shows computed results of the Belter-Cussler-Hu equation (triangles) and those of the Bohart-Adams equation (filled circles). [29][30][31][32][33][34][35][36], nonlinear regression was used to fit the Belter-Cussler-Hu equation to experimental breakthrough data. Here we show that the GA is an effective alternative to the nonlinear regression approach.…”

Section: Belter-cussler-hu Equationmentioning

confidence: 99%

Biosorption Parameter Estimation with Genetic Algorithm

Chu

Xiao

Kim

et al. 2011

Water

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Abstract:In biosorption research, a fairly broad range of mathematical models are used to correlate discrete data points obtained from batch equilibrium, batch kinetic or fixed bed breakthrough experiments. Most of these models are inherently nonlinear in their parameters. Some of the models have enjoyed widespread use, largely because they can be linearized to allow the estimation of parameters by least-squares linear regression. Selecting a model for data correlation appears to be dictated by the ease with which it can be linearized and not by other more important criteria such as parameter accuracy or theoretical relevance. As a result, models that cannot be linearized have enjoyed far less recognition because it is necessary to use a search algorithm for parameter estimation. In this study a real-coded genetic algorithm is applied as the search method to estimate equilibrium isotherm and kinetic parameters for batch biosorption as well as breakthrough parameters for fixed bed biosorption. The genetic algorithm is found to be a useful optimization tool, capable of accurately finding optimal parameter estimates. Its performance is compared with that of nonlinear and linear regression methods.

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Mathematical models applied to the Cr(III) and Cr(VI) breakthrough curves

Cited by 25 publications

References 24 publications

Application of response surface methodology for optimization of lead biosorption in an aqueous solution by Aspergillus niger

Application of response surface methodology for optimization of lead biosorption in an aqueous solution by Aspergillus niger

Aplicación de Modelos Matemáticos en Curvas de Ruptura de contaminantes del Biogás

Biosorption Parameter Estimation with Genetic Algorithm

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