Effect of diffusion on the conceptual design of a fixed-bed adsorber

Castillo‐Araiza, Carlos O.; Che‐Galicia, Gamaliel; Dutta, Abhishek; Guzmán‐González, Gregorio; Martínez-Vera, Carlos; Ruiz-Martínez, R.S.

doi:10.1016/j.fuel.2014.09.023

Cited by 19 publications

(4 citation statements)

References 42 publications

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“…These models are based on kinetic and diffusion observations at laboratory scale and have been strategically selected since all of them have been identified as suitable for describing the performance of fixed-bed adsorbers [32].…”

Section: Adsorption Ratementioning

confidence: 99%

Kinetics of CO2 adsorption on cherry stone-based carbons in CO2/CH4 separations

Álvarez-Gutiérrez

Gil

Rubiera

et al. 2017

Chemical Engineering Journal

177

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Most practical applications of solids in industry involve porous materials and adsorption processes. A correct assessment of the equilibrium and kinetics of adsorption is extremely important for the design and operation of adsorption based processes. In our previous studies we focused on the evaluation of the equilibrium of CO 2 /CH 4 adsorption on cherry stone-based carbons. In the present paper the kinetics of adsorption of CO 2 on two cherry stone-based activated carbons (CS-H 2 O and CS-CO 2 ), previously prepared in our laboratory, has been evaluated by means of transient breakthrough experiments at different CO 2 /CH 4 feed concentrations, at atmospheric pressure and 30 ˚C. A commercial activated carbon, Calgon BPL, has also been evaluated for reference purposes. Three models have been applied to estimate the rate parameters during the adsorption of CO 2 on these carbons, pseudo-first, pseudo-second and Avrami´s fractional order kinetic models. Avrami´s model accurately predicted the dynamic CO 2 adsorption performance of the carbons for the different feed gas compositions. To further investigate the mechanism of CO 2 adsorption on CS-H 2 O, CS-CO 2 and Calgon BPL, intra-particle diffusion and Boyd´s film-diffusion models were also evaluated. It was established that mass transfer during the adsorption of CO 2 from CO 2 /CH 4 is a diffusion-based process and that the main diffusion mechanisms involved 2 are intra-particle and film diffusion. At the initial stages of adsorption, film diffusion resistance governed the adsorption rate, whereas intra-particle diffusion resistance was the predominant factor in the following stages of adsorption.

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Section: Adsorption Ratementioning

confidence: 99%

Kinetics of CO2 adsorption on cherry stone-based carbons in CO2/CH4 separations

Álvarez-Gutiérrez

Gil

Rubiera

et al. 2017

Chemical Engineering Journal

177

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“…Lagergren published a kinetic study in 1898, [ 27 ] and Lagergren's first‐order rate equation, presented in the following equation, was considered a pseudo‐first‐order rate equation:

\begin{equation}\ d{q}_{\mathrm{t}}/dt = {k}_1\left( {{q}_{\mathrm{e}} - {q}_{\mathrm{t}}} \right)\end{equation}

where q e , q t , and k 1 represent the pseudo‐first‐order rate constant (mmol g −1 ) at equilibrium, adsorption capacities at each time, and first‐order kinetic constant (min −1 ), respectively. With the boundary conditions of t = 0, q t = 0, and t = ∞, q t = q e , Equation (2) can be expressed as the pseudo‐first‐order kinetic model equation with the linear form given by the following equation:

\begin{equation}{\mathrm{ln}}\left( {{q}_{\mathrm{e}} - {q}_{\mathrm{t}}} \right)\ = \ {\mathrm{ln}}{q}_{\mathrm{e}} - {k}_1t\end{equation}

…”

Section: Methodsmentioning

confidence: 99%

“…Lagergren published a kinetic study in 1898, [27] and Lagergren's first-order rate equation, presented in the following equation, was considered a pseudo-first-order rate equation:…”

Section: Pseudo-first-order Kinetic Modelmentioning

confidence: 99%

Mass transport, kinetic model, and application of CO₂ adsorption on zeolite 5A granules

Sangsuradet,

Worathanakul

2023

CLEAN Soil Air Water

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Environmental damage ranges from soil degradation, air pollution, and wastewater from human‐induced activity. In this study, to reduce CO2 emission, zeolite granules were prepared manually. In addition, the mass transfer and kinetic adsorption were analyzed to understand the mechanism of CO2 adsorption using mathematical models. We studied the effects of amount of binder, temperature, granule size, and flow rate of CO2 on efficient CO2 adsorption on zeolite 5A granules of different sizes (3–4 and 6–7 mm). The kinetics of CO2 adsorption and mass transfer of zeolite 5A granules were evaluated for the rate‐limiting step. The results showed that decreasing the temperature and the amount of binder increased the CO2 adsorption capacity. We observed the highest CO2 adsorption capacity of 2.84 mmol g−1 at 298 K with 4 wt% of the binder at a flow rate of 2 L h−1. The pseudo‐first‐order sorption behavior was the best model with R2 > 0.9832, whereas the root mean square error model showed an R2 < 0.2136. The Biot number and film diffusion model were used to investigate the importance of external mass transfer on intraparticle diffusion. It was confirmed that the adsorption on sustainable zeolite 5A granules was controlled by film diffusion.

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“…these of Meshko et al. (2001) and Castillo-Araiza et al. (2015), and none a variable-diffusivity model.…”

Section: Introductionmentioning

confidence: 99%

Experimental study of zeolitic diffusion by use of a concentration-dependent surface diffusion model

Inglezakis

Fyrillas

2019

Heliyon

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Surface diffusivity in adsorption and ion exchange processes is probably the most important property studied expensively in the literature but some aspects, especially its dependence on solid phase concentration, is still an open subject to discussion. In this study a new concentration-dependent surface diffusion model, equipped with a flexible double selectivity equilibrium relationship is applied on the removal of Pb 2+ , Cr 3+ , Fe 3+ and Cu 2+ from aqueous solutions using a natural zeolite. The model incorporates the Chen-Yang surface diffusivity correlation able to deal with positive and negative dependence with surface coverage. The double selectivity equilibrium relationship successfully represents the experimental equilibrium data, which follow Langmurian isotherm type for Pb 2+ , sigmoidal for Cr 3+ and Fe 3+ and linear for Cu 2+ . The concentration-dependent surface diffusion model was compared with the constant diffusivity surface diffusion model and found to be moderately more accurate but considerably more useful as it provides more insights into the diffusion mechanism. The application of the model resulted in an average deviation of 8.56 ± 6.74% from the experimental data and an average solid phase diffusion coefficients between 10 −9 and 10 −10 cm 2 /s. The results showed that the diffusion of metal ions in the zeolite structure is unhindered following the surface diffusion mass transfer mechanism.

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Effect of diffusion on the conceptual design of a fixed-bed adsorber

Cited by 19 publications

References 42 publications

Kinetics of CO2 adsorption on cherry stone-based carbons in CO2/CH4 separations

Kinetics of CO2 adsorption on cherry stone-based carbons in CO2/CH4 separations

Mass transport, kinetic model, and application of CO₂ adsorption on zeolite 5A granules

Experimental study of zeolitic diffusion by use of a concentration-dependent surface diffusion model

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Effect of diffusion on the conceptual design of a fixed-bed adsorber

Cited by 19 publications

References 42 publications

Kinetics of CO2 adsorption on cherry stone-based carbons in CO2/CH4 separations

Kinetics of CO2 adsorption on cherry stone-based carbons in CO2/CH4 separations

Mass transport, kinetic model, and application of CO2 adsorption on zeolite 5A granules

Experimental study of zeolitic diffusion by use of a concentration-dependent surface diffusion model

Contact Info

Product

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Mass transport, kinetic model, and application of CO₂ adsorption on zeolite 5A granules