Determination of Pore and Surface Diffusivities from Single Decay Curve in CSBR Based on Parallel Diffusion Model

Seida, Yoshimi; Sonetaka, Noriyoshi; Noll, Kenneth E.; Furuya, Eiji

doi:10.3390/w14223629

Open AccessArticle

Determination of Pore and Surface Diffusivities from Single Decay Curve in CSBR Based on Parallel Diffusion Model

by

Yoshimi Seida

^1,*

,

Noriyoshi Sonetaka

²,

Kenneth E. Noll

³ and

Eiji Furuya

^4,*

¹

Natural Science Laboratory, Toyo University, Bunkyo-ku, Tokyo 112-8606, Japan

²

TechnoMediaLab, Inc., Minato-ku, Tokyo 108-0075, Japan

³

Department of Civil, Architectural and Environmental Engineering, Illinois Institute of Technology, Chicago, IL 60616, USA

⁴

Department of Applied Chemistry, Meiji University, Kawasaki 214-8571, Japan

^*

Authors to whom correspondence should be addressed.

Water 2022, 14(22), 3629; https://doi.org/10.3390/w14223629

Submission received: 9 October 2022 / Revised: 5 November 2022 / Accepted: 7 November 2022 / Published: 11 November 2022

(This article belongs to the Special Issue Adsorbents for Water and Wastewater Treatment and Resource Recovery, 2nd Edition)

Download

Browse Figures

Versions Notes

Abstract

A novel, simple numerical method to determine the pore and surface diffusivities in adsorbents from a single experimental concentration decay curve obtained using the batch adsorption technique was investigated in this study. The pore and surface diffusion coefficients were determined based on the conventional parallel diffusion model in its dimensionless form using a theoretical model correlation. The model assumed that the film mass transfer resistance was negligible, i.e., the condition with a large Biot number, from the single concentration decay curve. The procedure for determining the kinetic parameters was investigated, and the effectiveness of the proposed simple method was validated by comparing the parameters with those reported previously. The single decay curve of p-nitrophenol, obtained by the batch adsorption system using granular activated carbon as an adsorbent, was used for validation. The diffusivities determined by the simple method corresponded fairly well with the diffusivities reported previously.

Keywords: adsorption; diffusion; parallel diffusion model; completely mixed batch reactor

Graphical Abstract

Share and Cite

MDPI and ACS Style

Seida, Y.; Sonetaka, N.; Noll, K.E.; Furuya, E. Determination of Pore and Surface Diffusivities from Single Decay Curve in CSBR Based on Parallel Diffusion Model. Water 2022, 14, 3629. https://doi.org/10.3390/w14223629

AMA Style

Seida Y, Sonetaka N, Noll KE, Furuya E. Determination of Pore and Surface Diffusivities from Single Decay Curve in CSBR Based on Parallel Diffusion Model. Water. 2022; 14(22):3629. https://doi.org/10.3390/w14223629

Chicago/Turabian Style

Seida, Yoshimi, Noriyoshi Sonetaka, Kenneth E. Noll, and Eiji Furuya. 2022. "Determination of Pore and Surface Diffusivities from Single Decay Curve in CSBR Based on Parallel Diffusion Model" Water 14, no. 22: 3629. https://doi.org/10.3390/w14223629

APA Style

Seida, Y., Sonetaka, N., Noll, K. E., & Furuya, E. (2022). Determination of Pore and Surface Diffusivities from Single Decay Curve in CSBR Based on Parallel Diffusion Model. Water, 14(22), 3629. https://doi.org/10.3390/w14223629

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Menu

Determination of Pore and Surface Diffusivities from Single Decay Curve in CSBR Based on Parallel Diffusion Model

Abstract

Share and Cite

Article Metrics

Article Access Statistics

Further Information

Guidelines

MDPI Initiatives

Follow MDPI