Comparative Reaction Modelling and k-Nearest Neighbors Analysis of Cocos nucifera Shell Thermal Degradation
Abstract
1. Introduction
- Feedstock Characterization: Comprehensive assessment of coconut shell through proximate and ultimate analysis, coupled with morphological and chemical analysis utilizing SEM/XEDS and FTIR.
- Thermal Analysis: Investigation of the non-isothermal pyrolysis of coconut shell at multiple heating rates, in strict compliance with ICTAC recommendations to ensure data reliability.
- Kinetic Mechanism Analysis: Deconvolution of DTG traces using Bi-Gaussian functions to resolve overlapping peaks and estimate the lignocellulosic composition (hemicellulose, cellulose, lignin) and constituent-specific fuel yields.
- Thermokinetic Investigation: Elucidation of biomass pyrolysis kinetics, thermodynamic parameters, and reaction mechanisms via model-fitting and model-free isoconversional methods applied to non-isothermal thermogravimetric data.
- Predictive Modeling: Application of kNN algorithms to pyrolytic kinetic data for the prediction and optimization of TG, DTG, and conversion profiles.
2. Research Methodology
2.1. Pre-Treatment of Biomass Material
2.2. Proximate and Ultimate Analysis
2.3. SEM/XEDS Procedure
2.4. FTIR Procedure
2.5. TG/DTG Procedure
2.6. Reaction Mechanisms and Thermokinetic Equations
2.7. Machine Learning kNN Approach
3. Results and Discussion
3.1. Proximate and Ultimate Analysis Data
3.2. Analysis of SEM/XEDS Data
3.3. Analysis FTIR Data
3.4. Analysis of TGA/DTG and Deconvoluted DTG Data
3.5. Model-Free and Model-Fitting Thermokinetic Data
3.6. Machine Learning kNN Modeling Data
4. Conclusions
Supplementary Materials
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
- Saudi Arabia Biomass Market Size, Share & Forecast 2034. Available online: https://www.imarcgroup.com/saudi-arabia-biomass-market (accessed on 17 March 2026).
- El-Sayed, S.A.; Khass, T.M.; Mostafa, M.E. Mostafa Thermal degradation behaviour and chemical kinetic characteristics of biomass pyrolysis using TG/DTG/DTA techniques. Biomass Convers. Biorefinery 2023, 14, 17779–17803. [Google Scholar] [CrossRef]
- Monir, M.U.; Shovon, S.M.; Akash, F.A.; Habib, A.; Techato, K.; Aziz, A.A.; Chowdhury, S.; Prasetya, T.A.E. Comprehensive characterization and kinetic analysis of coconut shell thermal degradation: Energy potential evaluated via the Coats-Redfern method. Case Stud. Therm. Eng. 2024, 55, 104186. [Google Scholar] [CrossRef]
- Vyazovkin, S.; Burnham, A.K.; Favergeon, L.; Koga, N.; Moukhina, E.; Pérez-Maqueda, L.A.; Sbirrazzuoli, N. ICTAC Kinetics Committee recommendations for analysis of multi-step kinetics. Thermochim. Acta 2020, 689, 178597. [Google Scholar] [CrossRef]
- Otaru, A.J. Circular economy: Kinetic-Triplet, thermodynamic, and gradient descent optimisation algorithm of deep learning models for the thermal degradation of walnut shell. Case Stud. Therm. Eng. 2025, 74, 106942. [Google Scholar] [CrossRef]
- Babinszki, B.; Jakab, E.; Terjék, V.; Sebestyén, Z.; Várhegyi, G.; May, Z.; Mahakhant, A.; Attanatho, L.; Suemanotham, A.; Thanmongkhon, Y.; et al. Thermal decomposition of biomass wastes derived from palm oil production. J. Anal. Appl. Pyrolysis 2021, 155, 105069. [Google Scholar] [CrossRef]
- Saddawi, A.; Jones, J.M.; Williams, A.; Wójtowicz, M.A. Kinetics of the Thermal Decomposition of Biomass. Energy Fuels 2009, 24, 1274–1282. [Google Scholar] [CrossRef]
- Narnaware, S.L.; Panwar, N. Kinetic study on pyrolysis of mustard stalk using thermogravimetric analysis. Bioresour. Technol. Rep. 2022, 17, 100942. [Google Scholar] [CrossRef]
- Pambudi, S.; Jongyingcharoen, J.S.; Saechua, W. Machine learning based prediction and iso-conversional assessment of oxidatively torrefied spent coffee grounds pyrolysis. Renew. Energy 2024, 237, 121657. [Google Scholar] [CrossRef]
- Alam Faroque, F.; Garimella, A.; Naganna, S.R. Analysis and Modeling of Thermogravimetric Curves of Chemically Modified Wheat Straw Filler-Based Biocomposites Using Machine Learning Techniques. J. Compos. Sci. 2025, 9, 221. [Google Scholar] [CrossRef]
- Xiao, K.; Zhu, X. Machine Learning Approach for the Prediction of Biomass Waste Pyrolysis Kinetics from Preliminary Analysis. ACS Omega 2024, 9, 48125–48136. [Google Scholar] [CrossRef]
- Vyazovkin, S.; Chrissafis, K.; Di Lorenzo, M.L.; Koga, N.; Pijolat, M.; Roduit, B.; Sbirrazzuoli, N.; Suñol, J.J. ICTAC Kinetics Committee recommendations for collecting experimental thermal analysis data for kinetic computations. Thermochim. Acta 2011, 590, 1–23. [Google Scholar] [CrossRef]
- Halder, R.K.; Uddin, M.N.; Uddin, A.; Aryal, S.; Khraisat, A. Enhancing K-nearest neighbor algorithm: A comprehensive review and performance analysis of modifications. J. Big Data 2024, 11, 113. [Google Scholar] [CrossRef]
- da Silva, A.S.; Espinheira, R.P.; Teixeira, R.S.S.; de Souza, M.F.; Ferreira-Leitão, V.; Bon, E.P.S. Constraints and advances in high-solids enzymatic hydrolysis of lignocellulosic biomass: A critical review. Biotechnol. Biofuels 2020, 13, 58. [Google Scholar] [CrossRef] [PubMed]
- Otaru, A.J.; Adeniyi, O.D.; Bori, I.; Olugboji, O.A.; Odigure, J.O. Numerical Simulation and Analysis of the Acoustic Properties of Bimodal and Modulated Macroporous Structures. Appl. Sci. 2023, 13, 12518. [Google Scholar] [CrossRef]
- Yang, S.; Wang, S.; Wang, H. Particle-scale evaluation of the pyrolysis process of biomass material in a reactive gas-solid spouted reactor. Chem. Eng. J. 2021, 421, 127787. [Google Scholar] [CrossRef]
- Bellow, S.A.; Agunsoye, J.O.; Adebisi, J.A.; Kolawole, F.O.; Hassan, S.B. Physical properties of coconut shell nanoparticles. Kathmandu Univ. J. Sci. Eng. Technol. 2016, 12, 63–79. [Google Scholar] [CrossRef]
- Park, S.; Kim, S.J.; Oh, K.C.; Cho, L.; Jeon, Y.; Lee, C.; Kim, D. Thermogravimetric analysis-based proximate analysis of agro-byproducts and prediction of calorific value. Energy Rep. 2022, 8, 12038–12044. [Google Scholar] [CrossRef]
- Chouhan, A.P.S.; Husain, A.; Mukherjee, S. Thermogravimetric Analysis of Pinus Wood For Kinetic Analysis by Using Coats and Redfern Method. J. Phys. Conf. Ser. 2020, 1531, 012116. [Google Scholar] [CrossRef]
- Otaru, A.J.; Zaid, Z.A.A.A.; Almithn, A.S.; Kovo, A.S.; Adeniyi, O.D. Thermokinetics, reaction modelling, and machine learning DNN and LSTM analysis of heat-induced pulverised Citrus clementina peel. Ind. Crops Prod. 2026, 241, 122707. [Google Scholar] [CrossRef]
- Zaid, Z.A.A.A.; Otaru, A.J. Sustainable valorization of mixed Saudi coffee waste and polystyrene via co-pyrolysis: Thermokinetic analysis and machine learning-based modelling using DNN and kNN. Therm. Sci. Eng. Prog. 2026, 72, 104610. [Google Scholar] [CrossRef]
- Höflinger, G. Brief Introduction to Coating Technology for Electron Microscopy; Leica: Wetzlar, Germany, 2013. [Google Scholar]
- Higgins, F.; Rein, A. Quantitative Analysis of Copolymers Using the Cary 630 FTIR Spectrometer Application Note Author; Agilent Technologies: Santa Clara, CA, USA, 2011. [Google Scholar]
- FTIR Functional Group Database Table with Search—InstaNANO. Available online: https://instanano.com/all/characterization/ftir/ftir-functional-group-search/ (accessed on 17 March 2026).
- Morales, A.; Yang, S.; la Cruz, D.S.-D. Understanding the Morphology of Cellulose Nanocrystal Films via Evaporated-Induced Self-Assembly. ACS Omega 2025, 10, 34930–34940. [Google Scholar] [CrossRef]
- Lee, Y.J.; Lee, D.Y.; Lee, T.-J.; Kim, H.J. Cellulose I crystallinity estimation using a combination of infrared spectroscopy and machine learning approaches. Carbohydr. Polym. 2025, 368, 124210. [Google Scholar] [CrossRef]
- Spiridon, I.; Anghel, N.; Dinu, M.V.; Vlad, S.; Bele, A.; Ciubotaru, B.I.; Verestiuc, L.; Pamfil, D. Development and Performance of Bioactive Compounds-Loaded Cellulose/Collagen/Polyurethane Materials. Polymers 2020, 12, 1191. [Google Scholar] [CrossRef] [PubMed]
- Czajka, K.M. The impact of the thermal lag on the interpretation of cellulose pyrolysis. Energy 2021, 236, 121497. [Google Scholar] [CrossRef]
- de Blasio, C. Thermogravimetric analysis (TGA). In Green Energy and Technology; Springer: Berlin/Heidelberg, Germany, 2019; pp. 91–102. [Google Scholar] [CrossRef]
- Chen, D.; Zhou, J.; Zhang, Q. Effects of heating rate on slow pyrolysis behavior, kinetic parameters and products properties of moso bamboo. Bioresour. Technol. 2014, 169, 313–319. [Google Scholar] [CrossRef]
- Yu, T.; Peng, H. Quantification and deconvolution of asymmetric LC-MS peaks using the bi-Gaussian mixture model and statistical model selection. BMC Bioinform. 2010, 11, 559. [Google Scholar] [CrossRef]
- Li, B.Y.; Tee, M.Y.; Nge, K.S.; Ng, A.K.L.; Chong, W.W.F.; Ng, J.H.; Mong, G.R. Comparison Kinetic Analysis between Coats-Redfern and Criado’s Master Plot on Pyrolysis of Horse Manure. Chem. Eng. Trans. 2023, 106, 1273–1278. [Google Scholar] [CrossRef]
- Barrie, P.J. The mathematical origins of the kinetic compensation effect: 1. the effect of random experimental errors. Phys. Chem. Chem. Phys. 2011, 14, 318–326. [Google Scholar] [CrossRef]
- Akhtar, M.A.; Zhang, S.; Shao, X.; Dang, H.; Liu, Y.; Li, T.; Zhang, L.; Li, C.-Z. Kinetic compensation effects in the chemical reaction-controlled regime and mass transfer-controlled regime during the gasification of biochar in O2. Fuel Process. Technol. 2018, 181, 25–32. [Google Scholar] [CrossRef]
- Ozawa, T. A New Method of Analyzing Thermogravimetric Data. Bull. Chem. Soc. Jpn. 1965, 38, 1881–1886. [Google Scholar] [CrossRef]
- Flynn, J.H.; Wall, L.A. A quick, direct method for the determination of activation energy from thermogravimetric data. J. Polym. Sci. Part B Polym. Lett. 1966, 4, 323–328. [Google Scholar] [CrossRef]
- Fotsop, C.G.; Lieb, A.; Scheffler, F. Elucidation of the thermo-kinetics of the thermal decomposition of cameroonian kaolin: Mechanism, thermodynamic study and identification of its by-products. RSC Adv. 2025, 15, 32172–32187. [Google Scholar] [CrossRef]
- Mianowski, A.; Sciazko, M.; Radko, T. Vyazovkin’s isoconversional method as a universal approach. Thermochim. Acta 2021, 696, 178822. [Google Scholar] [CrossRef]
- Friedman, H.L. Kinetics of thermal degradation of char-forming plastics from thermogravimetry. Application to a phenolic plastic. J. Polym. Sci. Part C Polym. Symp. 1964, 6, 183–195. [Google Scholar] [CrossRef]
- Uknowledge, U.; Han, Y. Theoretical Study of Thermal Analysis Kinetics. Available online: https://uknowledge.uky.edu/me_etds/35 (accessed on 17 March 2026).
- Farrukh, M.A.; Butt, K.M.; Chong, K.-K.; Chang, W.S. Photoluminescence emission behavior on the reduced band gap of Fe doping in CeO2-SiO2 nanocomposite and photophysical properties. J. Saudi Chem. Soc. 2019, 23, 561–575. [Google Scholar] [CrossRef]
- Vyazovkin, S. Misinterpretation of Thermodynamic Parameters Evaluated from Activation Energy and Preexponential Factor Determined in Thermal Analysis Experiments. Thermo 2024, 4, 373–381. [Google Scholar] [CrossRef]
- What Are KNN’s Advantages and Disadvantages Compared to the Other Popular Machine Learning Models?|by Jing Wang|Medium. Available online: https://medium.com/@jing.wang.ds/what-are-knns-advantages-and-disadvantages-compared-to-the-other-popular-machine-learning-models-b171c48dd817 (accessed on 17 March 2026).
- Shen, J.; Yan, M.; Fang, M.; Gao, X. Machine learning-based modeling approaches for estimating pyrolysis products of varied biomass and operating conditions. Bioresour. Technol. Rep. 2022, 20, 101285. [Google Scholar] [CrossRef]
- Deep Dive on KNN: Understanding and Implementing the K-Nearest Neighbors Algorithm–ML Course. Available online: https://arize.com/blog-course/knn-algorithm-k-nearest-neighbor/ (accessed on 17 March 2026).
- Mian, I.; Rehman, N.; Li, X.; Ullah, H.; Khan, A.; Choi, C.; Han, C. Effect of Heating Rate on the Pyrolysis Behavior and Kinetics of Coconut Residue and Activated Carbon: A Comparative Study. Energies 2024, 17, 4605. [Google Scholar] [CrossRef]
- Hanif, M.U.; Capareda, S.C.; Iqbal, H.; Arazo, R.O.; Baig, M.A. Effects of Pyrolysis Temperature on Product Yields and Energy Recovery from Co-Feeding of Cotton Gin Trash, Cow Manure, and Microalgae: A Simulation Study. PLoS ONE 2016, 11, e0152230. [Google Scholar] [CrossRef]
- Ahmad, R.K.; A Sulaiman, S.; Inayat, M.; A Umar, H. The effects of temperature, residence time and particle size on a charcoal produced from coconut shell. IOP Conf. Ser. Mater. Sci. Eng. 2020, 863, 012005. [Google Scholar] [CrossRef]
- Uddin, S.; Haque, I.; Lu, H.; Moni, M.A.; Gide, E. Comparative performance analysis of K-nearest neighbour (KNN) algorithm and its different variants for disease prediction. Sci. Rep. 2022, 12, 6256. [Google Scholar] [CrossRef]
- Çetin, A.I.; Büyüklü, A.H. A new approach to K-nearest neighbors distance metrics on sovereign country credit rating. Kuwait J. Sci. 2025, 52, 100324. [Google Scholar] [CrossRef]
- Li, J.; Wang, A.; Wang, S.; Zhang, G.; Sun, K. Constructing Coconut Shell-based Hard Carbon Materials for Sodium-ion Battery Anodes by Instantaneous High-temperature Method. Chem. Ind. For. Prod. 2025, 45, 47–54. [Google Scholar] [CrossRef]
- Gholamy, A.; Kreinovich, V.; Kosheleva, O. Why 70/30 or 80/20 Relation Between Training and Testing Sets: A Pedagogical Explanation. Int. J. Intell. Technol. Appl. Stat. 2018, 11, 105–111. Available online: https://scholarworks.utep.edu/cs_techrep/1209 (accessed on 17 March 2026).
- Singh, D.; Singh, B. Investigating the impact of data normalization on classification performance. Appl. Soft Comput. 2020, 97, 105524. [Google Scholar] [CrossRef]
- Manurung, J.; Saragih, H.; Prabukusumo, M.A.; Firdaus, E.A. Optimizing the performance of the K-Nearest Neighbors algorithm using grid search and feature scaling to improve data classification accuracy. J. Mandiri IT 2025, 14, 260–268. [Google Scholar] [CrossRef]
- Irawan, A.; Upe, S.L.; Dwi, I.P.M. Effect of torrefaction process on the coconut shell energy content for solid fuel. AIP Conf. Proc. 2017, 1826, 20010. [Google Scholar] [CrossRef]
- Eke, J.; Onwudili, J.A.; Bridgwater, A.V. Influence of Moisture Contents on the Fast Pyrolysis of Trommel Fines in a Bubbling Fluidized Bed Reactor. Waste Biomass Valorization 2019, 11, 3711–3722. [Google Scholar] [CrossRef]
- García, R.; Pizarro, C.; Lavín, A.G.; Bueno, J.L. Biomass proximate analysis using thermogravimetry. Bioresour. Technol. 2013, 139, 1–4. [Google Scholar] [CrossRef]
- Weber, K.; Quicker, P. Properties of biochar. Fuel 2018, 217, 240–261. [Google Scholar] [CrossRef]
- Maj, I.; Niesporek, K.; Płaza, P.; Maier, J.; Łój, P. Biomass Ash: A Review of Chemical Compositions and Management Trends. Sustainability 2025, 17, 4925. [Google Scholar] [CrossRef]
- Vassilev, S.V.; Vassileva, C.G.; Song, Y.C.; Li, W.Y.; Feng, J. Ash contents and ash-forming elements of biomass and their significance for solid biofuel combustion. Fuel 2017, 208, 377–409. [Google Scholar] [CrossRef]
- Demirbas, A. Pyrolysis mechanisms of biomass materials. Energy Sources Part A Recovery Util. Environ. Eff. 2009, 31, 1186–1193. [Google Scholar] [CrossRef]
- Liu, P.; Wang, Y.; Zhou, Z.; Yuan, H.; Zheng, T.; Chen, Y. Effect of carbon structure on hydrogen release derived from different biomass pyrolysis. Fuel 2020, 271, 117638. [Google Scholar] [CrossRef]
- Cheng, S.; Yao, K.; Tian, H.; Yang, T.; Chen, L. Synergistic Catalytic Effects on Nitrogen Transformation during Biomass Pyrolysis: A Focus on Proline as a Model Compound. Molecules 2024, 29, 3118. [Google Scholar] [CrossRef]
- Basu, P.; Kaushal, P. Biomass Gasification, Pyrolysis, and Torrefaction: Practical Design, Theory, and Climate Change Mitigation, 4th ed.; Academic Press: Cambridge, MA, USA, 2023; pp. 1–681. [Google Scholar] [CrossRef]
- Mohan, D.; Pittman, C.U.; Steele, P.H. Pyrolysis of Wood/Biomass for Bio-oil: A Critical Review. Energy Fuels 2006, 20, 848–889. [Google Scholar] [CrossRef]
- Yang, H.; Yan, R.; Chen, H.; Lee, D.H.; Zheng, C. Characteristics of hemicellulose, cellulose and lignin pyrolysis. Fuel 2007, 86, 1781–1788. [Google Scholar] [CrossRef]
- Ioannidou, O.; Zabaniotou, A. Agricultural residues as precursors for activated carbon production—A review. Renew. Sustain. Energy Rev. 2007, 11, 1966–2005. [Google Scholar] [CrossRef]
- Jenkins, B.M.; Baxter, L.L.; Miles, T.R., Jr.; Miles, T.R. Combustion properties of biomass. Fuel Process. Technol. 1998, 54, 17–46. [Google Scholar] [CrossRef]
- Kaur, M.; Mubarak, N.M.; Chin, B.L.F.; Khalid, M.; Karri, R.R.; Walvekar, R.; Abdullah, E.; Tanjung, F.A. Extraction of reinforced epoxy nanocomposite using agricultural waste biomass. IOP Conf. Ser. Mater. Sci. Eng. 2020, 943, 012021. [Google Scholar] [CrossRef]
- Rampe, M.J.; Santoso, I.R.S.; Rampe, H.L.; Tiwow, V.A.; Apita, A. Infrared Spectra Patterns of Coconut Shell Charcoal as Result of Pyrolysis and Acid Activation Origin of Sulawesi, Indonesia. E3S Web Conf. 2021, 328, 08008. [Google Scholar] [CrossRef]
- Caine, S.; Heraud, P.; Tobin, M.J.; McNaughton, D.; Bernard, C.C.A. The application of Fourier transform infrared microspectroscopy for the study of diseased central nervous system tissue. NeuroImage 2012, 59, 3624–3640. [Google Scholar] [CrossRef]
- Khan, A.A.; Ling, Y.S.; Chowdhury, Z.Z. Improvement of adsorption properties of coconut shell activated carbon using atmospheric pressure dielectric barrier discharge plasma jet. Eur. Phys. J. Plus 2024, 139, 673. [Google Scholar] [CrossRef]
- Bichang’A, D.O.; Oladele, I.O.; Alabi, O.O.; Aramide, F.O.; Oluseye, O.; Borisade, S.G.; Githinji, D.N.; Ojemaye, M.O. Comparative property investigation of raw and treated coconut shell biomass for potential polymer composite application. Heliyon 2024, 10, e40704. [Google Scholar] [CrossRef] [PubMed]
- Otaru, A.J.; Zaid, Z.A.A.A. On the thermal degradation of palm frond and PLA 3251D biopolymer: TGA/FTIR experimentation, thermo-kinetics, and machine learning CDNN analysis. Fuel 2025, 391, 134724. [Google Scholar] [CrossRef]
- Danilczuk, M.; Lin, L.; Schlick, S.; Hamrock, S.J.; Schaberg, M.S. Understanding the fingerprint region in the infra-red spectra of perfluorinated ionomer membranes and corresponding model compounds: Experiments and theoretical calculations. J. Power Sources 2011, 196, 8216–8224. [Google Scholar] [CrossRef]
- Andreansyah, I.; Mentari, P.R.A.; Rahman, H.; Syamani, F.A. Ultraviolet Shielding Performance of Coconut Coir as a Filler in Low-Density Polyethylene (LDPE) Plastic Mulch. Wood Res. J. 2024, 14, 13–24. [Google Scholar] [CrossRef]
- Rout, T.; Pradhan, D.; Singh, R.K.; Kumari, N. Exhaustive study of products obtained from coconut shell pyrolysis. J. Environ. Chem. Eng. 2016, 4, 3696–3705. [Google Scholar] [CrossRef]
- Onokwai, A.O.; Akuru, U.B.; Desai, D.A. Predictive accuracy and characterisation of bio-oil yield from pyrolysis of Cocos nucifera: A comparison of traditional RSM and hybrid models. Int. J. Renew. Energy Dev. 2025, 14, 1125–1145. [Google Scholar] [CrossRef]
- Ashwini, K.; Resmi, R.; Reghu, R. Pyrolysis characteristics and kinetic analysis of coconut shell and nutmeg shell for potential source of bioenergy. Eng. Sci. Technol. Int. J. 2024, 50, 101615. [Google Scholar] [CrossRef]
- Liu, M.; Zhang, C.; Bai, J.; Wang, X.; Xing, L.; Li, X.; Han, B.; Kong, L.; Bai, Z.; Li, H.; et al. Comparative study on the effects of heating rate on char gasification behaviors by thermogravimetric analyzer and high-temperature stage microscope under non-isothermal condition. Fuel 2023, 343, 127972. [Google Scholar] [CrossRef]
- Parthasarathy, P.; Al-Ansari, T.; Mackey, H.R.; McKay, G. Effect of heating rate on the pyrolysis of camel manure. Biomass Convers. Biorefinery 2021, 13, 6023–6035. [Google Scholar] [CrossRef]
- Valente, J.S.; Rodriguez-Gattorno, G.; Valle-Orta, M.; Torres-Garcia, E. Thermal decomposition kinetics of MgAl layered double hydroxides. Mater. Chem. Phys. 2012, 133, 621–629. [Google Scholar] [CrossRef]
- Silva, J.; Teixeira, S.; Teixeira, J. A Review of Biomass Thermal Analysis, Kinetics and Product Distribution for Combustion Modeling: From the Micro to Macro Perspective. Energies 2023, 16, 6705. [Google Scholar] [CrossRef]
- Wang, L.; Chang, Y.; Li, A. Hydrothermal carbonization for energy-efficient processing of sewage sludge: A review. Renew. Sustain. Energy Rev. 2019, 108, 423–444. [Google Scholar] [CrossRef]
- Cheng, K.; Winter, W.T.; Stipanovic, A.J. A modulated-TGA approach to the kinetics of lignocellulosic biomass pyrolysis/combustion. Polym. Degrad. Stab. 2012, 97, 1606–1615. [Google Scholar] [CrossRef]
- Dorez, G.; Ferry, L.; Sonnier, R.; Taguet, A.; Lopez-Cuesta, J.M. Effect of cellulose, hemicellulose and lignin contents on pyrolysis and combustion of natural fibers. J. Anal. Appl. Pyrolysis 2014, 107, 323–331. [Google Scholar] [CrossRef]
- A Rizal, W.; Nisa’, K.; Maryana, R.; Prasetyo, D.J.; Pratiwi, D.; Jatmiko, T.H.; Ariani, D.; Suwanto, A. Chemical composition of liquid smoke from coconut shell waste produced by SME in Rongkop Gunungkidul. IOP Conf. Ser. Earth Environ. Sci. 2020, 462, 012057. [Google Scholar] [CrossRef]
- Abdel-Shafy, H.I.; Mansour, M.S.M. Biochar production techniques utilizing biomass waste-derived materials and environmental applications—A review. J. Hazard. Mater. Adv. 2022, 7, 100134. [Google Scholar] [CrossRef]
- Mazaya, G.; Karseno, K.; Yanto, T. Antimicrobial and Phytochemical Activity of Coconut Shell Extracts. Turk. J. Agric.-Food Sci. Technol. 2020, 8, 1090–1097. [Google Scholar] [CrossRef]
- Castells, B.; Amez, I.; Medic, L.; Fernandez-Anez, N.; Garcia-Torrent, J. Study of lignocellulosic biomass ignition properties estimation from thermogravimetric analysis. J. Loss Prev. Process. Ind. 2021, 71, 104425. [Google Scholar] [CrossRef]
- Cano-Díaz, G.S.; Rosas-Aburto, A.; Vivaldo-Lima, E.; Flores-Santos, L.; Vega-Hernández, M.A.; Hernández-Luna, M.G.; Martinez, A. Determination of the Composition of Lignocellulosic Biomasses from Combined Analyses of Thermal, Spectroscopic, and Wet Chemical Methods. Ind. Eng. Chem. Res. 2021, 60, 3502–3515. [Google Scholar] [CrossRef]
- Díez, D.; Urueña, A.; Piñero, R.; Barrio, A.; Tamminen, T. Determination of Hemicellulose, Cellulose, and Lignin Content in Different Types of Biomasses by Thermogravimetric Analysis and Pseudocomponent Kinetic Model (TGA-PKM Method). Processes 2020, 8, 1048. [Google Scholar] [CrossRef]
- Han, Y.; Gholizadeh, M.; Tran, C.-C.; Kaliaguine, S.; Li, C.-Z.; Olarte, M.; Garcia-Perez, M. Hydrotreatment of pyrolysis bio-oil: A review. Fuel Process. Technol. 2019, 195, 106140. [Google Scholar] [CrossRef]
- Jain, A.A.; Mehra, A.; Ranade, V.V. Processing of TGA data: Analysis of isoconversional and model fitting methods. Fuel 2016, 165, 490–498. [Google Scholar] [CrossRef]
- Sahu, P.; Gangil, S.; Guru, P.K.; Durga, M.L.; Shukla, P.; Kumar, M.; Diwan, P.; Kamendra; Rath, I.; Sahu, R.K.; et al. Pyrolysis-induced lignin transformation and its thermo-kinetic implications for biochar development. Results Eng. 2026, 30, 110216. [Google Scholar] [CrossRef]
- Zhang, W.; Diao, C.; Wang, L. Degradation of lignin in different lignocellulosic biomass by steam explosion combined with microbial consortium treatment. Biotechnol. Biofuels Bioprod. 2023, 16, 55. [Google Scholar] [CrossRef] [PubMed]
- Manić, N.G.; Janković, B.B.; Dodevski, V.M.; Stojiljković, D.D.; Jovanović, V.V. Multicomponent modelling kinetics and simultaneous thermal analysis of apricot kernel shell pyrolysis. J. Sustain. Dev. Energy Water Environ. Syst. 2020, 8, 766–787. [Google Scholar] [CrossRef]
- Tsamba, A.J.; Yang, W.; Blasiak, W. Pyrolysis characteristics and global kinetics of coconut and cashew nut shells. Fuel Process. Technol. 2006, 87, 523–530. [Google Scholar] [CrossRef]
- Janković, B.; Manić, N.; Popović, M.; Cvetković, S.; Dželetović, Ž.; Stojiljković, D. Kinetic and thermodynamic compensation phenomena in C3 and C4 energy crops pyrolysis: Implications on reaction mechanisms and product distributions. Ind. Crops Prod. 2023, 194, 116275. [Google Scholar] [CrossRef]
- Brillard, A.; Brilhac, J.F. Improved relationships between kinetic parameters associated with biomass pyrolysis or combustion. Bioresour. Technol. 2021, 342, 126053. [Google Scholar] [CrossRef] [PubMed]
- Lopes, F.C.R.; Tannous, K. Coconut fiber pyrolysis decomposition kinetics applying single- and multi-step reaction models. Thermochim. Acta 2020, 691, 178714. [Google Scholar] [CrossRef]
- Lai, V.M.F.; Lii, C.Y.; Hung, W.L.; Lu, T.J. Kinetic compensation effect in depolymerisation of food polysaccharides. Food Chem. 2000, 68, 319–325. [Google Scholar] [CrossRef]
- Jahiding, M.; Mashuni; Ilmawati, W.; Ermawati; Rahmat; Arsyad, J.; Riskayanti, S.S. Characterization of Coconut Shell Liquid Volatile Matter (CS-LVM) by Using Gas Chomatroghaphy. J. Phys. Conf. Ser. 2017, 846, 012025. [Google Scholar] [CrossRef]
- Agrizzi, T.; Oliveira, M.A.; Faria, E.V.; Santos, K.G.; Xavier, T.P.; Lira, T.S. Assessing coconut shell pyrolysis: Biomass characterization, activation energy estimation, and statistical analysis of operating conditions. Bioresour. Technol. Rep. 2024, 26, 101831. [Google Scholar] [CrossRef]
- Bayón, R.; García-Rojas, R.; Rojas, E.; Rodríguez-García, M.M. Assessment of isoconversional methods and peak functions for the kinetic analysis of thermogravimetric data and its application to degradation processes of organic phase change materials. J. Therm. Anal. Calorim. 2024, 149, 13879–13899. [Google Scholar] [CrossRef]
- Li, J.; Shang, Y.; Wei, W.; Liu, Z.; Qiao, Y.; Qin, S.; Tian, Y. Comparative Study on Pyrolysis Kinetics Behavior and High-Temperature Fast Pyrolysis Product Analysis of Coastal Zone and Land Biomasses. ACS Omega 2022, 7, 10144–10155. [Google Scholar] [CrossRef]
- Ali, I.; Bahaitham, H.; Naebulharam, R. A comprehensive kinetics study of coconut shell waste pyrolysis. Bioresour. Technol. 2017, 235, 1–11. [Google Scholar] [CrossRef]
- Phuakpunk, K.; Chalermsinsuwan, B.; Assabumrungrat, S. Pyrolysis kinetic parameters investigation of single and tri-component biomass: Models fitting via comparative model-free methods. Renew. Energy 2022, 182, 494–507. [Google Scholar] [CrossRef]
- Liao, Y.; Huang, K. Kinetic Study on Pyrolysis of Tung Seed Shells and In Situ Characterization by Using TG–FTIR Analysis. Energies 2025, 18, 5842. [Google Scholar] [CrossRef]
- Koga, N.; Tanaka, H. Effect of sample mass on the kinetics of thermal decomposition of a solid. Part 3. Non-isothermal mass-loss process of molten NH4NO3. Thermochim. Acta 1994, 240, 141–151. [Google Scholar] [CrossRef]
- AMishra; Sonowal, M.; Turlapati, V.Y.; Maiti, P.; Meikap, B.C. A comprehensive thermo-kinetics devolatilization analysis of waste motor oil: Thermal degradation kinetics, kinetic model, thermodynamic analysis, and ANN. Int. J. Green Energy 2023, 20, 1191–1203. [Google Scholar] [CrossRef]
- Chen, D.; Cen, K.; Zhuang, X.; Gan, Z.; Zhou, J.; Zhang, Y.; Zhang, H. Insight into biomass pyrolysis mechanism based on cellulose, hemicellulose, and lignin: Evolution of volatiles and kinetics, elucidation of reaction pathways, and characterization of gas, biochar and bio-oil. Combust. Flame 2022, 242, 112142. [Google Scholar] [CrossRef]
- Sivaraman, S.; Selvasembian, R. Pyrolysis behavior of Sterculia guttata shell biomass: Kinetics, thermodynamics, techno-economic and life cycle assessment of industrial-scale biochar production. RSC Adv. 2026, 16, 10380–10399. [Google Scholar] [CrossRef] [PubMed]
- Kumar, P.; Mohanty, K. Insight into the Pyrolysis of Melocanna baccifera Biomass: Pyrolysis Behavior, Kinetics, and Thermodynamic Parameters Analysis Based on Iso-conversional Methods. ACS Omega 2025, 10, 8420–8432. [Google Scholar] [CrossRef] [PubMed]
- Colpani, D.; Santos, V.O.; Araujo, R.O.; Lima, V.M.; Tenório, J.A.; Coleti, J.; Chaar, J.S.; de Souza, L.K. Bioenergy potential analysis of Brazil nut biomass residues through pyrolysis: Gas emission, kinetics, and thermodynamic parameters. Clean. Chem. Eng. 2022, 1, 100002. [Google Scholar] [CrossRef]
- Slopiecka, K.; Bartocci, P.; Fantozzi, F. Thermogravimetric analysis and kinetic study of poplar wood pyrolysis. Appl. Energy 2012, 97, 491–497. [Google Scholar] [CrossRef]
- Park, Y.H.; Kim, J.; Kim, S.S.; Park, Y.K. Pyrolysis characteristics and kinetics of oak trees using thermogravimetric analyzer and micro-tubing reactor. Bioresour. Technol. 2009, 100, 400–405. [Google Scholar] [CrossRef] [PubMed]
- Turmanova, S.; Genieva, S.; Vlaev, L. Kinetics of Nonisothermal Degradation of Some Polymer Composites: Change of Entropy at the Formation of the Activated Complex from the Reagents. J. Thermodyn. 2011, 2011, 605712. [Google Scholar] [CrossRef]
- Said, M.; John, G.; Mhilu, C.; Manyele, S. The Study of Kinetic Properties and Analytical Pyrolysis of Coconut Shells. J. Renew. Energy 2015, 2015, 307329. [Google Scholar] [CrossRef]
- Cheng, C.; Guo, Q.; Ding, L.; Gong, Y.; Yu, G. Insights into pyrolysis process of coconut shell waste hydrochar: In-situ structural evolution and reaction kinetics. J. Clean. Prod. 2024, 448, 141701. [Google Scholar] [CrossRef]
- Wan, B.; Sheng, Z.; Zhu, W.; Hu, Z. Compactness-Weighted KNN Classification Algorithm. IJACSA Int. J. Adv. Comput. Sci. Appl. 2024, 15, 229. Available online: www.ijacsa.thesai.org (accessed on 11 April 2026).
- Vyazovkin, S. Kissinger Method in Kinetics of Materials: Things to Beware and Be Aware of. Molecules 2020, 25, 2813. [Google Scholar] [CrossRef] [PubMed]
- Liu, B.; Vanierschot, M.; Buysschaert, F. Comparison study of the k − k L − ω and γ − Re θ transition models in the open water performance prediction of a rim-driven thruster. Int. J. Turbomach. Propuls. Power 2024, 9, 2. [Google Scholar] [CrossRef]
- Knies, J.L.; Kingsolver, J.G. Erroneous Arrhenius: Modified Arrhenius Model Best Explains the Temperature Dependence of Ectotherm Fitness. Am. Nat. 2010, 176, 227–233. [Google Scholar] [CrossRef]
- Di, N.F.M.; Satari, S.Z. The effect of different distance measures in detecting outliers using clustering-based algorithm for circular regression model. AIP Conf. Proc. 2017, 1842, 030016. [Google Scholar] [CrossRef]
- Mukaka, M.M. A guide to appropriate use of Correlation coefficient in medical research. Malawi Med. J. 2012, 24, 69. Available online: https://pmc.ncbi.nlm.nih.gov/articles/PMC3576830/ (accessed on 11 April 2026).
- Martínez, M.G.; Dupont, C.; Thiéry, S.; Meyer, X.M.; Gourdon, C. Impact of biomass diversity on torrefaction: Study of solid conversion and volatile species formation through an innovative TGA-GC/MS apparatus. Biomass Bioenergy 2018, 119, 43–53. [Google Scholar] [CrossRef]
- Yin, H.; Huang, X.; Song, X.; Miao, H.; Mu, L. Co–pyrolysis of de–alkalized lignin and coconut shell via TG/DTG–FTIR and machine learning methods: Pyrolysis characteristics, gas products, and thermo–kinetics. Fuel 2022, 329, 125517. [Google Scholar] [CrossRef]
- Otaru, A.J.; Zaid, Z.A.A.A.; Alkhaldi, M.M.; Zaid, S.M.A.A.; AlShuaibi, A. The Bioenergy Potential of Date Palm Branch/Waste Through Reaction Modeling, Thermokinetic Data, Machine Learning KNN Analysis, and Techno-Economic Assessments (TEA). Polymers 2025, 17, 3182. [Google Scholar] [CrossRef]












| Proximate Analysis | Ultimate Analysis | |||||||
|---|---|---|---|---|---|---|---|---|
| Moisture [%] | Fixed Carbon [%] | Volatile Matter [%] | Ash [%] | Carbon [%] | Hydrogen [%] | Nitrogen [%] | Sulfur [%] | Oxygen [%] |
| 6.3 | 17.8 | 72.3 | 3.6 | 45.7 | 4.9 | 2.8 | 0.0 | 46.6 |
| Element | C | O | Na | Mg | P | Cl | K | Ca | Total |
|---|---|---|---|---|---|---|---|---|---|
| Mass [%] | 49.34 ± 0.19 | 39.05 ± 0.40 | 2.64 ± 0.07 | 0.40 ± 0.02 | 1.50 ± 0.04 | 0.27 ± 0.02 | 4.27 ± 0.08 | 2.53 ± 0.07 | 100 |
| Atom [%] | 59.46 ± 0.02 | 35.33 ± 0.37 | 1.66 ± 0.04 | 0.24 ± 0.01 | 0.70 ± 0.02 | 0.11 ± 0.01 | 1.58 ± 0.03 | 0.92 ± 0.02 | 100 |
| Magnification is ×3000 | Fitting ration = 0.2898 | Acceleration voltage = 15 kV | |||||||
| β [oC·min−1] | Composition | Peak Centre (Tp, oC) | Initial Temperature (Ti, oC) | Final Temperature (Tf, oC) | ΔT = Tf − Ti (Tf, oC) | Weight [%] | Biochar Yield [%] | Bio-Oil Yield LC [%] | Bio-Oil Yield GF [%] | Syngas Yield [%] |
|---|---|---|---|---|---|---|---|---|---|---|
| 5 | Moisture | 55 | 25 | 135 | 110 | 5.2 | 6.5 | 31.0 | 56.4 | 6.1 |
| Hemicellulose | 280 | 135 | 335 | 200 | 23.9 | |||||
| Cellulose | 330 | 280 | 415 | 135 | 27.1 | |||||
| Lignin | 570 | 275 | 675 | 400 | 28.5 | |||||
| 10 | Moisture | 60 | 25 | 160 | 135 | 5.7 | 10.4 | 24.7 | 59.2 | 5.8 |
| Hemicellulose | 290 | 160 | 350 | 190 | 24.5 | |||||
| Cellulose | 350 | 270 | 420 | 150 | 25.4 | |||||
| Lignin | 565 | 290 | 625 | 335 | 26.8 | |||||
| 20 | Moisture | 65 | 25 | 155 | 130 | 5.8 | 23.7 | 16.3 | 54.5 | 5.4 |
| Hemicellulose | 305 | 165 | 395 | 230 | 32.9 | |||||
| Cellulose | 365 | 290 | 430 | 140 | 37.5 | |||||
| Lignin | - | - | - | - | - |
| β = 5 °C·min−1 | β = 10 °C·min−1 | β = 20 °C·min−1 | |||||||
|---|---|---|---|---|---|---|---|---|---|
| Solid-State Reaction Models | R2 | ECR [kJ.mol−1] | A [min−1] | R2 | ECR [kJ.mol−1] | A [min−1] | R2 | ECR [kJ.mol−1] | A [min−1] |
| A3/2: Avrami (n = 1.5) | 0.814 | 31.6 | 1.2 × 101 | 0.833 | 37.0 | 7.1 × 101 | 0.824 | 43.4 | 5.2 × 102 |
| A2: Avrami (n = 2) | 0.278 | 3.4 | 8.1 × 10−3 | 0.430 | 5.1 | 3.3 × 10−2 | 0.508 | 7.2 | 1.3 × 10−1 |
| A3: Avrami (n = 3) | 0.109 | −1.3 | −1.4 × 10−3 | 0.002 | −0.2 | −4.7 × 10−4 | 0.051 | 1.1 | 7.2 × 10−3 |
| A4: Avrami (n = 4) | 0.601 | −3.7 | −2.5 × 10−3 | 0.435 | −2.8 | −4.5 × 10−3 | 0.196 | −1.9 | −7.0 × 10−3 |
| Au: Prout-Tomkins | 0.603 | −11.9 | −3.5 × 10−4 | 0.571 | −12.2 | −6.7 × 10−4 | 0.593 | −13.8 | −1.0 × 10−3 |
| F1/3: One-Third Order | 0.562 | 11.3 | 5.2 × 10−2 | 0.626 | 14.1 | 2.1 × 10−1 | 0.648 | 17.1 | 8.6 × 10−1 |
| F3/4: Three-Quarter Order | 0.684 | 15.0 | 6.2 × 10−2 | 0.729 | 18.2 | 2.7 × 10−1 | 0.735 | 22.0 | 1.2 × 100 |
| F3/2: One and Half Order | 0.833 | 23.0 | 1.3 × 100 | 0.855 | 27.4 | 6.4 × 100 | 0.841 | 32.8 | 4.1 × 101 |
| F1: First Order | 0.743 | 17.5 | 5.2 × 10−1 | 0.779 | 21.1 | 2.4 × 100 | 0.777 | 25.3 | 1.2 × 101 |
| F2: Second Order | 0.892 | 29.4 | 1.4 × 101 | 0.904 | 34.6 | 8.3 × 101 | 0.884 | 41.3 | 6.9 × 102 |
| F3: Third Order | 0.951 | 44.2 | 6.4 × 102 | 0.956 | 51.4 | 5.3 × 103 | 0.929 | 61.4 | 8.3 × 104 |
| D1: 1D Diffusion | 0.690 | 28.2 | 2.1 × 100 | 0.721 | 33.2 | 1.2 × 101 | 0.725 | 38.5 | 6.5 × 101 |
| D2: 2D Diffusion | 0.743 | 33.0 | 3.9 × 100 | 0.768 | 38.7 | 2.4 × 101 | 0.767 | 44.8 | 1.6 × 102 |
| D3: 3D Diffusion (Jander) | 0.797 | 39.1 | 4.3 × 100 | 0.816 | 45.5 | 3.1 × 101 | 0.810 | 52.8 | 2.5 × 102 |
| D4: Ginstling-Brounshtein | 0.763 | 35.1 | 1.5 × 100 | 0.786 | 40.9 | 9.5 × 100 | 0.783 | 47.4 | 6.8 × 101 |
| D5: Zhuravlev, Lesokin, Tempelman | 0.875 | 52.9 | 1.5 × 102 | 0.885 | 61.1 | 1.5 × 103 | 0.871 | 71.2 | 2.1 × 104 |
| D6: Anti-Jander | 0.647 | 24.1 | 6.6 × 10−2 | 0.684 | 28.6 | 3.4 × 10−1 | 0.693 | 33.3 | 1.7 × 100 |
| R1: One-Dimension | 0.445 | 8.7 | 3.3 × 10−2 | 0.527 | 11.2 | 1.3 × 10−1 | 0.563 | 13.8 | 4.9 × 10−1 |
| R2: GCM (Contracting Cylinder) | 0.614 | 12.7 | 6.2 × 10−2 | 0.670 | 15.7 | 2.5 × 10−1 | 0.685 | 19.0 | 1.1 × 100 |
| R3: GCM (Contracting Sphere) | 0.662 | 14.2 | 6.5 × 10−2 | 0.710 | 17.4 | 2.8 × 10−1 | 0.719 | 20.9 | 1.2 × 100 |
| P1: Nucleation) | 0.445 | 8.7 | 3.3 × 10−2 | 0.527 | 11.2 | 1.3 × 10−1 | 0.563 | 13.8 | 4.9 × 10−1 |
| P3/2: Nucleation | 0.101 | 2.3 | 3.1 × 10−3 | 0.221 | 3.9 | 1.4 × 10−2 | 0.310 | 5.6 | 5.4 × 10−2 |
| P2: Nucleation | 0.036 | −1.0 | −8.5 × 10−4 | 0.001 | 0.2 | 4.3 × 10−4 | 0.048 | 1.4 | 7.3 × 10−3 |
| P3: Nucleation | 0.575 | −4.2 | −2.2 × 10−3 | 0.438 | −3.5 | −4.1 × 10−3 | 0.270 | −2.7 | −7.3 × 10−3 |
| P4: Nucleation | 0.806 | −5.9 | −2.4 × 10−3 | 0.747 | −5.3 | −4.7 × 10−3 | 0.653 | −4.8 | −9.3 × 10−3 |
| Carter | 0.662 | 14.2 | 6.5 × 10−2 | 0.710 | 17.4 | 2.8 × 10−1 | 0.719 | 20.9 | 1.2 × 100 |
| FWO-St | FWO-It | KAS | Vyazovkin | Friedman | ||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Conversion xi [-] | R2 | E [kJ.mol−1] | R2 | E [kJ.mol−1] | R2 | E [kJ.mol−1] | R2 | E [kJ.mol−1] | R2 | E [kJ.mol−1] |
| 10 | 1.000 | 129.1 | 1.000 | 135.9 | 1.000 | 127.1 | 1.000 | 135.4 | 0.752 | 128.7 |
| 15 | 1.000 | 133.0 | 1.000 | 139.9 | 0.999 | 130.9 | 1.000 | 140.2 | 0.620 | 127.5 |
| 20 | 1.000 | 138.8 | 1.000 | 146.0 | 1.000 | 136.8 | 1.000 | 146.1 | 0.443 | 130.6 |
| 25 | 1.000 | 145.7 | 1.000 | 153.3 | 1.000 | 144.0 | 1.000 | 153.2 | 0.510 | 136.3 |
| 30 | 1.000 | 154.7 | 1.000 | 162.7 | 1.000 | 153.3 | 1.000 | 162.9 | 0.540 | 144.1 |
| 35 | 1.000 | 164.4 | 1.000 | 172.9 | 1.000 | 163.3 | 1.000 | 173.2 | 0.523 | 152.2 |
| 40 | 1.000 | 172.4 | 1.000 | 181.4 | 1.000 | 171.6 | 1.000 | 181.6 | 0.453 | 158.0 |
| 45 | 1.000 | 174.5 | 1.000 | 183.6 | 1.000 | 173.6 | 1.000 | 183.7 | 0.300 | 154.7 |
| 50 | 1.000 | 173.1 | 1.000 | 182.1 | 1.000 | 171.9 | 1.000 | 182.2 | 0.230 | 144.2 |
| 55 | 1.000 | 176.4 | 1.000 | 185.6 | 1.000 | 175.3 | 1.000 | 184.7 | 0.371 | 148.0 |
| 60 | 0.998 | 205.2 | 0.998 | 215.8 | 0.998 | 205.4 | 1.000 | 214.1 | 0.445 | 176.7 |
| Model | R2 | E [kJ.mol−1] | A [min−1] | ∆ [kJ·mol−1] | ∆ [kJ·mol−1] | ∆ [kJ·mol−1·K−1] | k [-] |
|---|---|---|---|---|---|---|---|
| CR | 0.9452 | 52.3 | 29,810.5 | 47.1 | 173.4 | −0.200 | 4.9 × 10−15 |
| FWO-St | 0.9997 | 160.7 | 7.0 × 1014 | 155.4 | 156.1 | −0.001 | 1.3 × 10−13 |
| FWO-It | 0.9997 | 169.0 | 5.3 × 1015 | 163.8 | 153.7 | 0.016 | 2.1 × 10−13 |
| KAS | 0.9997 | 159.4 | 5.1 × 1014 | 154.1 | 156.4 | −0.004 | 1.2 × 10−13 |
| Vyazovkin | 0.9998 | 168.8 | 5.1 × 1015 | 163.6 | 153.8 | 0.015 | 2.1 × 10−13 |
| Friedman | 0.4716 | 145.5 | 1.8 × 1013 | 140.3 | 160.3 | −0.032 | 6.0 × 10−14 |
| Source | Conversion | Kinetic Method | Heating Rate [oC·min−1] | Temperature [oC] | E [kJ.mol−1] | A [min−1] |
|---|---|---|---|---|---|---|
| Current | 0.1–0.6 | FWO-St, FWO-It, KAS, & Vyazovkin | 5, 10, and 20 | 25–1000 | 165 | 2.90 × 1015 |
| Said et al. [119] | Main Pyrolysis | CR | 10 | 227–727 | 122.8 | 1.31 × 1011 |
| Agrizzi et al. [104] | 0.1–0.9 | FWO and KAS | 5, 10, and 20 | 30–1000 | 182.8–192.4 | 5.2 × 1014 |
| Mian et al. [46] | 0.1–0.8 | CR | 3, 5, and 10 | 25–900 | 159.6–177.5 | 8.4 × 1012 |
| Tsamba et al. [98] | 0.2–0.8 | Isoconversional | 20 | 250–400 | 180–216 | 1.5 × 1015 |
| C. Cheng et al. [120] | 0.1–0.7 | Isoconversional | 10, 15, and 20 | 150–600 | 194.5–238.3 | 4.7 × 1016 |
| TG | |||||
| Simulation | k-value | Distance | Weight | Val RMSE | Remark |
| 1 | 100 | Euclidean | Squared Inverse | 1.0570 | ✓ |
| 2 | 100 | City Block | Squared Inverse | 0.8351 | ✓ |
| 3 | 85 | Euclidean | Squared Inverse | 0.6458 | ✓✓ |
| 4 | 1 | Euclidean | Equal | 0.9119 | × |
| 5 | 50 | Euclidean | Squared Inverse | 0.7580 | ✓ |
| DTG | |||||
| Simulation | k-value | Distance | Weight | Val RMSE | Remark |
| 1 | 85 | Euclidean | Squared Inverse | 0.0011 | ✓ |
| 2 | 20 | City Block | Inverse | 0.0009 | ✓ |
| 3 | 15 | Euclidean | Squared Inverse | 0.0009 | ✓ |
| 4 | 100 | Euclidean | Squared Inverse | 0.0007 | ✓✓ |
| 5 | 5 | Euclidean | Squared Inverse | 0.0012 | ✓ |
| Conversion | |||||
| Simulation | k-value | Distance | Weight | Val RMSE | Remark |
| 1 | 1 | Euclidean | Equal | 0.0128 | × |
| 2 | 100 | City Block | Squared Inverse | 0.0120 | ✓ |
| 3 | 3 | Euclidean | Inverse | 0.0089 | ✓ |
| 4 | 5 | Euclidean | Inverse | 0.0108 | ✓ |
| 5 | 50 | City Block | Squared Inverse | 0.0104 | ✓✓ |
| TG | ||||
| Performance Metrics | Train | Validation | Test | Overall |
| Std Dev | 8.73 × 10−16 | 0.649 | 1.006 | 0.462 |
| MAE | 1.62 × 10−16 | 0.363 | 0.523 | 0.133 |
| MBE | −1.62 × 10−16 | 0.021 | −0.071 | −0.007 |
| MSE | 7.87 × 10−31 | 0.417 | 1.006 | 0.213 |
| RMSE | 8.87 × 10−16 | 0.646 | 1.003 | 0.462 |
| R2 | 1.000 | 0.999 | 0.999 | 1.000 |
| DTG | ||||
| Performance Metrics | Train | Validation | Test | Overall |
| Std Dev | 1.71 × 10−19 | 7.22 × 10−4 | 1.47 × 10−3 | 6.35 × 10−4 |
| MAE | 9.21 × 10−21 | 3.07 × 10−4 | 5.65 × 10−4 | 1.30 × 10−4 |
| MBE | −8.16 × 10−21 | −6.82 × 10−5 | −2.35 × 10−4 | −4.54 × 10−5 |
| MSE | 2.94 × 10−38 | 5.20 × 10−7 | 2.18 × 10−6 | 4.05 × 10−7 |
| RMSE | 1.71 × 10−19 | 7.21 × 10−4 | 1.48 × 10−3 | 6.36 × 10−4 |
| R2 | 1.000 | 0.987 | 0.945 | 0.992 |
| Conversion | ||||
| Performance Metrics | Train | Validation | Test | Overall |
| Std Dev | 0.000 | 1.01 × 10−2 | 1.20 × 10−2 | 6.13 × 10−3 |
| MAE | 0.000 | 5.56 × 10−3 | 7.33 × 10−3 | 1.93 × 10−3 |
| MBE | 0.000 | −2.84 × 10−3 | −9.91 × 10−4 | −5.74 × 10−4 |
| MSE | 0.000 | 1.09 × 10−4 | 1.44 × 10−4 | 3.79 × 10−5 |
| RMSE | 0.000 | 1.04 × 10−2 | 1.20 × 10−2 | 6.15 × 10−3 |
| R2 | 1.000 | 0.999 | 0.999 | 1.000 |
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content. |
© 2026 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license.
Share and Cite
Otaru, A.J.; Zaid, Z.A.A.A.; Almithn, A.S.; Bori, I.; Barah, O.O. Comparative Reaction Modelling and k-Nearest Neighbors Analysis of Cocos nucifera Shell Thermal Degradation. Polymers 2026, 18, 1070. https://doi.org/10.3390/polym18091070
Otaru AJ, Zaid ZAAA, Almithn AS, Bori I, Barah OO. Comparative Reaction Modelling and k-Nearest Neighbors Analysis of Cocos nucifera Shell Thermal Degradation. Polymers. 2026; 18(9):1070. https://doi.org/10.3390/polym18091070
Chicago/Turabian StyleOtaru, Abdulrazak Jinadu, Zaid Abdulhamid Alhulaybi Albin Zaid, Abdulrahman Salah Almithn, Ige Bori, and Obinna Onyebuchi Barah. 2026. "Comparative Reaction Modelling and k-Nearest Neighbors Analysis of Cocos nucifera Shell Thermal Degradation" Polymers 18, no. 9: 1070. https://doi.org/10.3390/polym18091070
APA StyleOtaru, A. J., Zaid, Z. A. A. A., Almithn, A. S., Bori, I., & Barah, O. O. (2026). Comparative Reaction Modelling and k-Nearest Neighbors Analysis of Cocos nucifera Shell Thermal Degradation. Polymers, 18(9), 1070. https://doi.org/10.3390/polym18091070

