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Study on Optimum IUPAC Adsorption Isotherm Models Employing Sensitivity of Parameters for Rigorous Adsorption System Performance Evaluation

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  • Md. Matiar Rahman

    (International Institute for Carbon-Neutral Energy Research (WPI-I2CNER), Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan
    Department of Statistics, University of Dhaka, Dhaka 1000, Bangladesh)

  • Abu Zar Shafiullah

    (Department of Statistics, University of Dhaka, Dhaka 1000, Bangladesh)

  • Animesh Pal

    (Department of Nuclear Engineering, University of Dhaka, Dhaka 1000, Bangladesh)

  • Md. Amirul Islam

    (International Institute for Carbon-Neutral Energy Research (WPI-I2CNER), Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan
    Institute for Materials Chemistry and Engineering, Kyushu University, Kasuga-koen 6-1, Kasuga-shi 816-8580, Japan
    Department of Electronics and Telecommunication Engineering, Bangabandhu Sheikh Mujibur Rahman Science & Technology University, Gopalganj 8100, Bangladesh)

  • Israt Jahan

    (International Institute for Carbon-Neutral Energy Research (WPI-I2CNER), Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan
    Mechanical Engineering Department, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan)

  • Bidyut Baran Saha

    (International Institute for Carbon-Neutral Energy Research (WPI-I2CNER), Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan
    Mechanical Engineering Department, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan)

Abstract

Adsorption cooling technologies driven by low-grade thermal or solar power are used as an energy-efficient alternative to conventional refrigeration and air conditioning systems. Explicit understanding of the adsorption cycles requires precise determination of the performance parameters, replication of the experimental data, and the rigorous study of the adsorption heat transformation method. Hence, the optimum adsorption isotherms model must be identified. Scientists often face difficulties in selecting the suitable isotherm model as there are many models for a particular form of adsorption isotherm. The present study introduces a novel approach for choosing the optimal models for each type of International Union of Pure and Applied Chemistry (IUPAC) classified adsorption isotherm using robust statistical methods. First, the box-and-whisker plots of error identification are employed. Tóth for Type-I(a) and Type-I(b), modified BET for Type-II, GAB for Type-III, Universal for Type-IV(a), and Type-IV(b), Sun Chakrabarty for Type-V, and Yahia et al. for Type-VI were found lower than the other candidate models in box-and-whisker plot. The optimality of our selected models was further verified using analysis of variance (ANOVA), pairwise Tukey honest significant difference (HSD) test, Kruskal–Wallis rank-sum test, and pairwise Wilcoxon rank-sum test. In short, rigorous statistical analysis was performed to identify the best model for each type of isotherm by minimizing error. Moreover, specific cooling effect (SCE) of Maxsorb III/ethanol and silica gel/water pairs were determined. Results showed that Tóth is the optimal isotherm model for the studied pairs, and the SCE values obtained from the model agree well with experimental data. The optimum isotherm model is indispensable for the precise designing of the next generation adsorption cooling cycles.

Suggested Citation

  • Md. Matiar Rahman & Abu Zar Shafiullah & Animesh Pal & Md. Amirul Islam & Israt Jahan & Bidyut Baran Saha, 2021. "Study on Optimum IUPAC Adsorption Isotherm Models Employing Sensitivity of Parameters for Rigorous Adsorption System Performance Evaluation," Energies, MDPI, vol. 14(22), pages 1-20, November.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:22:p:7478-:d:675332
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    References listed on IDEAS

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    1. Aouaini, F. & Knani, S. & Ben Yahia, M. & Ben Lamine, A., 2015. "Statistical physics studies of multilayer adsorption isotherm in food materials and pore size distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 373-390.
    2. Md. Matiar Rahman & Mahbubul Muttakin & Animesh Pal & Abu Zar Shafiullah & Bidyut Baran Saha, 2019. "A Statistical Approach to Determine Optimal Models for IUPAC-Classified Adsorption Isotherms," Energies, MDPI, vol. 12(23), pages 1-34, November.
    3. Jie Zou & Reza Rezaee, 2019. "A Prediction Model for Methane Adsorption Capacity in Shale Gas Reservoirs," Energies, MDPI, vol. 12(2), pages 1-13, January.
    4. Palomba, Valeria & Aprile, Marcello & Motta, Mario & Vasta, Salvatore, 2017. "Study of sorption systems for application on low-emission fishing vessels," Energy, Elsevier, vol. 134(C), pages 554-565.
    5. Sun, Baichuan & Chakraborty, Anutosh, 2015. "Thermodynamic frameworks of adsorption kinetics modeling: Dynamic water uptakes on silica gel for adsorption cooling applications," Energy, Elsevier, vol. 84(C), pages 296-302.
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