Next Article in Journal
Experimental Investigation of Copper Mesh Substrate with Selective Wettability to Separate Oil/Water Mixture
Previous Article in Journal
An Orderly Power Utilization Scheme Based on an Intelligent Multi-Agent Apanage Management System
Previous Article in Special Issue
A General Approach in Optimization of Heat Exchangers by Bio-Inspired Artificial Intelligence Methods
Open AccessArticle

A Statistical Approach to Determine Optimal Models for IUPAC-Classified Adsorption Isotherms

1
Mechanical Engineering Department, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan
2
International Institute for Carbon-Neutral Energy Research (WPI-I2CNER), Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan
3
Department of Statistics, University of Dhaka, Dhaka 1000, Bangladesh
4
Department of Nuclear Engineering, University of Dhaka, Dhaka 1000, Bangladesh
5
Department of Statistics, University of Auckland, Auckland 1010, New Zealand
*
Author to whom correspondence should be addressed.
Energies 2019, 12(23), 4565; https://doi.org/10.3390/en12234565
Received: 15 October 2019 / Revised: 27 November 2019 / Accepted: 27 November 2019 / Published: 29 November 2019
Adsorption heat transformation (AHT) systems can play a major role in protecting our environment by decreasing the usage of fossil fuels and utilizing natural and alternative working fluids. The adsorption isotherm is the most important feature in characterizing an AHT system. There are eight types of International Union of Pure and Applied Chemistry (IUPAC) classified adsorption isotherms for different “adsorbent-adsorbate” pairs with numerous empirical or semi-empirical mathematical models to fit them. Researchers face difficulties in choosing the best isotherm model to describe their experimental findings as there are several models for a single type of adsorption isotherm. This study presents the optimal models for all eight types of isotherms employing several useful statistical approaches such as average error; confidence interval (CI), information criterion (ICs), and proportion tests using bootstrap sampling. Isotherm data of 13 working pairs (which include all eight types of IUPAC isotherms) for AHT applications are extracted from literature and fitted with appropriate models using two error functions. It was found that modified Brunauer–Emmet–Teller (BET) for Type-I(a) and Type-II; Tóth for Type-I(b); GAB for Type-III; Ng et al. model for Type-IV(a) and Type-IV(b); Sun and Chakraborty model for Type-V; and Yahia et al. model for Type-VI are the most appropriate as they ensure less information loss compared to other models. Moreover; the findings are affirmed using selection probability; overall; and pairwise proportion tests. The present findings are important in the rigorous analysis of isotherm data. View Full-Text
Keywords: bootstrap sample; information criterion; isotherm model; IUPAC; optimum isotherm bootstrap sample; information criterion; isotherm model; IUPAC; optimum isotherm
Show Figures

Graphical abstract

MDPI and ACS Style

Rahman, M.M.; Muttakin, M.; Pal, A.; Shafiullah, A.Z.; Saha, B.B. A Statistical Approach to Determine Optimal Models for IUPAC-Classified Adsorption Isotherms. Energies 2019, 12, 4565.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop