Modeling study of coffee extraction at different temperature and grind size conditions to better understand the cold and hot brewing process
Abstract
In this study, the extraction kinetics, based on total dissolved solid (TDS), at different temperatures (4, 23, 50, and 93°C) for different grind sizes (VMD = 139, 643, 1,450, 1,747 μm) were investigated. Coffee extraction proceeded in initial fast extraction stage followed by a significantly slower extraction stage, which correspond to the extraction from surfaces of broken cells and the extraction from intact coffee cells, respectively. Diffusion inside the coffee particle is a very slow process, so breaking the cells is a very efficient way to increase the mass transfer rate. In addition, the ultimate extraction yield increased with increasing brewing temperature and decreasing of particle size. The Weibull distribution, pseudo‐first order and pseudo‐second order model were fitted to the kinetics data, with high coefficients of determination (0.687–0.998), and low root mean square error (0.02–0.26%). Meanwhile, exponential equations were created to correlate the derived rate constants (1/α, k1, and k2) with brewing temperature and particle size to achieve the prediction of brewing extent (TDS t/TDS eqm) at different temperature‐particle size combinations. Practical applications: This study investigated the kinetics of coffee extraction at different grind size and temperature conditions with the purposes to better understanding the cold and hot coffee brewing process, as well as to predict the coffee extraction. The findings in this study will have practical applications in three folds: Help manufacturers of coffee brew products (ready to drink or concentrate) to better design and control their coffee extraction process. Aid manufacturers of coffee extraction equipment and coffee brewers to improve their products Provide reference information for coffee store, barista, coffee enthusiast, and consumers to brewing a better cup of coffee
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At a higher water temperature, water is able to extract solutes that are moderately water-soluble at lower temperatures.
“At a higher water temperature, water is able to extract solutes that are moderately water-soluble at lower temperatures [20].”
From Optimization of Cold Brew Coffee Using Central Composite Design and Its Properties Compared with Hot Brew Coffee (2023) · cites this paper as [20]
Cites
Simonin, J. (2016) · Chemical Engineering Journal · doi:10.1016/j.cej.2016.04.079 · Cited by 2,122 · see citing works
Coffee and Health: A Review of Recent Human Research
Higdon, J. V., & Frei, B. (2006) · Critical Reviews in Food Science and Nutrition · doi:10.1080/10408390500400009 · Cited by 1,090 · see citing works
Farah, A., & Donangelo, C. M. (2006) · Brazilian Journal of Plant Physiology · doi:10.1590/s1677-04202006000100003 · Cited by 840 · see citing works
The Arrhenius Equation Revisited
Peleg, M., Normand, M. D., & Corradini, M. G. (2012) · Critical Reviews in Food Science and Nutrition · doi:10.1080/10408398.2012.667460 · Cited by 397 · see citing works
Comparison of nine common coffee extraction methods: Instrumental and sensory analysis
Gloess, A. N., Schönbächler, B., Klopprogge, B., D`Ambrosio, L., Chatelain, K., Bongartz, A., Strittmatter, A., Rast, M., & Yeretzian, C. (2013) · European Food Research and Technology · doi:10.1007/s00217-013-1917-x · Cited by 311 · see citing works
Weibull distribution for modeling air drying of coroba slices
Corzo, O., Bracho, N., Pereira, A., & Vásquez, A. (2008) · LWT · doi:10.1016/j.lwt.2008.01.002 · Cited by 204 · see citing works
Navarini, L. (1999) · Carbohydrate Polymers · doi:10.1016/s0144-8617(99)00032-6 · Cited by 197 · see citing works
Fuller, M., & Rao, N. Z. (2017) · Scientific Reports · doi:10.1038/s41598-017-18247-4 · Cited by 180 · see citing works
Cordoba, N., Pataquiva, L., Osorio, C., Moreno, F. L. M., & Ruiz, R. Y. (2019) · Scientific Reports · doi:10.1038/s41598-019-44886-w · Cited by 166 · see citing works
Kinetic study on the thermal and pressure degradation of anthocyanins in strawberries
Verbeyst, L., Oey, I., der Plancken, I. V., Hendrickx, M., & Loey, A. M. V. (2010) · Food Chemistry · doi:10.1016/j.foodchem.2010.04.027 · Cited by 163 · see citing works
Normalized Weibull distribution for modeling rehydration of food particulates
Marabi, A., Livings, S. J., Jacobson, M., et al. (2003) · European Food Research and Technology · doi:10.1007/s00217-003-0719-y · Cited by 162 · see citing works
An Impression of Coffee Carbohydrates
Arya, M., & Rao, L. J. M. (2007) · Critical Reviews in Food Science and Nutrition · doi:10.1080/10408390600550315 · Cited by 159 · see citing works
Pore Structure of Coffee Beans Affected by Roasting Conditions
Schenker, S., Handschin, S., Frey, B., Perren, R., & Escher, F. (2000) · Journal of Food Science · doi:10.1111/j.1365-2621.2000.tb16026.x · Cited by 155 · see citing works
Acidity and Antioxidant Activity of Cold Brew Coffee
Rao, N. Z., & Fuller, M. (2018) · Scientific Reports · doi:10.1038/s41598-018-34392-w · Cited by 144 · see citing works
Modelling water absorption of pasta during soaking
Cunningham, S. E., McMinn, W. A. M., Magee, T. R. A., et al. (2007) · Journal of Food Engineering · doi:10.1016/j.jfoodeng.2007.03.018 · Cited by 142 · see citing works
The kinetics and mechanism of caffeine infusion from coffee: The effect of particle size
Spiro, M., & Selwood, R. M. (1984) · Journal of the Science of Food and Agriculture · doi:10.1002/jsfa.2740350817 · Cited by 115 · see citing works
Rao, N. Z., Fuller, M., & Grim, M. D. (2020) · Foods · doi:10.3390/foods9070902 · Cited by 113 · see citing works
Characterization and comparison of cold brew and cold drip coffee extraction methods
Angeloni, G., Guerrini, L., Masella, P., Innocenti, M., Bellumori, M., & Parenti, A. (2019) · Journal of the Science of Food and Agriculture · doi:10.1002/jsfa.9200 · Cited by 107 · see citing works
Influence of extraction temperature on the final quality of espresso coffee
Andueza, S., Maeztu, L., Pascual, L., Ibáñez, C., de Peña, M. P., & Cid, C. (2003) · Journal of the Science of Food and Agriculture · doi:10.1002/jsfa.1304 · Cited by 100 · see citing works
Influence of coffee/water ratio on the final quality of espresso coffee
Andueza, S., Vila, M. A., Paz de Peña, M., & Cid, C. (2007) · Journal of the Science of Food and Agriculture · doi:10.1002/jsfa.2720 · Cited by 94 · see citing works
(2001) · Wiley eBooks · doi:10.1002/9780470690499 · Cited by 92 · see citing works
Moroney, K. M., Lee, W. T., O׳Brien, S. B. G., Suijver, F., & Marra, J. (2015) · Chemical Engineering Science · doi:10.1016/j.ces.2015.06.003 · Cited by 78 · see citing works
The diffusion kinetics of carbon dioxide in fresh roasted and ground coffee
Anderson, B. A., Shimoni, E., Liardon, R., et al. (2003) · Journal of Food Engineering · doi:10.1016/s0260-8774(02)00432-6 · Cited by 66 · see citing works
Corrochano, B. R., Melrose, J. R., Bentley, A. C., Fryer, P. J., & Bakalis, S. (2015) · Journal of Food Engineering · doi:10.1016/j.jfoodeng.2014.11.006 · Cited by 63 · see citing works
Effect of roasting conditions on carbon dioxide degassing behavior in coffee
Wang, X., & Lim, L. (2014) · Food Research International · doi:10.1016/j.foodres.2014.01.027 · Cited by 59 · see citing works
Self-citationMatei, M., Jaiswal, R., & Kuhnert, N. (2012) · Journal of Agricultural and Food Chemistry · doi:10.1021/jf3028599 · Cited by 59 · see citing works
Corzo, O., & Bracho, N. (2007) · LWT · doi:10.1016/j.lwt.2007.06.018 · Cited by 52 · see citing works
Effects of capsule parameters on coffee extraction in single-serve brewer
Wang, X., William, J. B., Fu, Y., & Lim, L. (2016) · Food Research International · doi:10.1016/j.foodres.2016.09.031 · Cited by 52 · see citing works
Self-citationCoffee extraction kinetics in a well mixed system
Moroney, K. M., Lee, W. T., O’Brien, S. B., Suijver, F., & Marra, J. (2016) · Journal of Mathematics in Industry · doi:10.1186/s13362-016-0024-6 · Cited by 44 · see citing works
Physicochemical Characteristics of Roasted Coffee
Wang, X., & Lim, L. (2014) · Coffee in Health and Disease Prevention · doi:10.1016/b978-0-12-409517-5.00027-9 · Cited by 44 · see citing works
Self-citationMODELING THE EFFECT OF MICROSTRUCTURE ON FOOD EXTRACTION
CROSSLEY, J. I., & Aguilera, J. M. (2001) · Journal of Food Process Engineering · doi:10.1111/j.1745-4530.2001.tb00538.x · Cited by 37 · see citing works
Shrigod, N. M., Hulle, N. R. S., & Prasad, R. V. (2016) · Journal of Food Process Engineering · doi:10.1111/jfpe.12488 · Cited by 34 · see citing works
Screening and Identification of Bitter Compounds in Roasted Coffee Brew by Taste Dilution Analysis
Frank, O., Zehentbauer, G., & Hofmann, T. (2006) · Developments in food science · doi:10.1016/s0167-4501(06)80039-7 · Cited by 14 · see citing works
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Zakaria, N. H., Whanmek, K., Thangsiri, S., Chathiran, W., Srichamnong, W., Suttisansanee, U., & Santivarangkna, C. (2023) · Foods · doi:10.3390/foods12122412 · Cited by 10 · see citing works
“At a higher water temperature, water is able to extract solutes that are moderately water-soluble at lower temperatures [20].”
BackgroundConcentration gradient inversion via sedimentation of coffee grounds in full immersion brewing
Liang, J., Brown, H. G., Dunkin, M. M., & Ristenpart, W. D. (2023) · Journal of Food Engineering · doi:10.1016/j.jfoodeng.2023.111619 · Cited by 1 · see citing works
- Authors
- Wang, X., & Lim, L.
- Affiliations
- University of Guelph (CA)
- Corresponding author
- Wang, Xiuju
- Venue
- Journal of Food Process Engineering
- Publisher
- Wiley
- Published
- 2021-05-15
- Volume
- 44
- Issue
- 8
- ISSN
- 0145-8876 (ISSN-L)
- 1745-4530
- OpenAlex
- W3161600892
- Semantic Scholar
- 941355ffcb7665a139477feb7841f8f2ca1a15ff
- Cited by
- 22
- References
- 33
- Citations by year
- 2026: 2 · 2025: 3 · 2024: 3 · 2023: 9 · 2022: 4 · 2021: 1
- FWCI
- 2.48
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Food Process Engineering (publishedVersion)
- Funders
- Natural Sciences and Engineering Research Council of Canada
- Ontario Centres of Excellence
- Topics
- Health Sciences › Medicine › Pharmacology › Coffee research and impacts
- Life Sciences › Agricultural and Biological Sciences › Food Science › Agricultural and Biological Research
- Life Sciences › Agricultural and Biological Sciences › Food Science › Microencapsulation and Drying Processes
- Keywords
- coffee extraction, extraction kinetics, brewing temperature, grind size, total dissolved solids, mass transfer, Weibull distribution, pseudo-first-order kinetics, pseudo-second-order kinetics, cold brew, extraction yield prediction
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