Abstract:Coffee is one of the most consumed beverages in the world. This has two main consequences: a high level of competitiveness among the players operating in the sector and an increasing pressure from the supply chain on the environment. These two aspects have to be supported by scientific research to foster innovation and reduce the negative impact of the coffee market on the environment. In this paper, we describe a mathematical model for espresso coffee extraction that is able to predict the chemical characteri… Show more
“…Additionally, 5-CQA is known to be affected strongly by different roasting processes [41,42], which could further explain the concentration differences between the two studies. For TDS, the measured values were in accordance with Angeloni et al [13].…”
Section: Extractedmentioning
confidence: 57%
“…In the literature, relative standard deviations (RSD) of <5-10% [19,23,24] for either component concentration or mass in the cup are generally reported but can reach up to 20% [13]. The average relative standard deviation for the studied experimental set was 2.5%, with the highest RSD of 8.5%.…”
Section: Extractedmentioning
confidence: 87%
“…The use of different coffee and water types, roasting levels, coffee puck masses, beverage sizes, and extraction machines impeded quantitative comparisons to other studies. Angeloni et al, who also used a 20 g Arabica coffee puck and a ~BR 1/2, extracted, on average, 3.39 mg g −1 trigonelline, 5.18 mg g −1 caffeine, 5.27 mg g −1 5-CQA, and 10.02 g (100 g) −1 TDS [13]. Taking into consideration that Caprioli et al reported trigonelline masses in the cup ranging from 28.20 mg to 65.08 mg and caffeine masses from 116.87 mg to 199.68 mg for the same extraction settings (7.5 g ground coffee, 25 mL EC, 25 s) for 20 different EC coffee brands, the experimental results were within the expected range [24].…”
Section: Extractedmentioning
confidence: 99%
“…The grinding process defines the particle size distribution and the amount of coffee mass in the portafilter. Finer grinding levels (GL) increase the particle surface area in contact with water, enabling a higher extraction yield for trigonelline, caffeine, and 5-caffeoylquinic acid (5-CQA) [13][14][15][16][17]. Increasing the ground coffee mass at a similar extracted EC volume increases the masses of trigonelline, caffeine, and 5-CQA in the cup [18,19].…”
Section: Introductionmentioning
confidence: 99%
“…Higher water temperatures (T) increase the components' solubility and reduce water viscosity [26]. However, the influence of water temperature on EC component mass in the cup has been inconclusive for experiments with otherwise constant conditions [13]. Albanese et al [27] analyzed coffee pods and reported increased caffeine concentration with rising temperatures from 90 • C to 110 • C. Masella et al [28] found no significant difference in trigonelline, caffeine, and chlorogenic acid concentrations in the EC cup for 75 • C, 80 • C, or 85 • C. For similar EC components, Andueza et al [29] reported several ambiguous temperature correlations for significant differences between EC brewed at 88 • C, 92 • C, 96 • C, and 98 • C. Also, Salamanca et al [30] described different influences on the caffeine and 5-CQA concentrations in the cup for upward and downward temperature gradients between 88 • C and 93 • C without identifying a conclusive correlation.…”
Brewing espresso coffee (EC) is considered a craft and, by some, even an art. Therefore, in this study, we systematically investigated the influence of coffee grinding, water flow rate, and temperature on the extraction kinetics of representative EC components, employing a central composite experimental design. The extraction kinetics of trigonelline, caffeine, 5-caffeoylquinic acid (5-CQA), and Total Dissolved Solids (TDS) were determined by collecting and analyzing ten consecutive fractions during the EC brewing process. From the extraction kinetics, the component masses in the cup were calculated for Ristretto, Espresso, and Espresso Lungo. The analysis of the studied parameters revealed that flow rate had the strongest effect on the component mass in the cup. The intensity of the flow rate influence was more pronounced at finer grindings and higher water temperatures. Overall, the observed influences were minor compared to changes resulting from differences in total extracted EC mass.
“…Additionally, 5-CQA is known to be affected strongly by different roasting processes [41,42], which could further explain the concentration differences between the two studies. For TDS, the measured values were in accordance with Angeloni et al [13].…”
Section: Extractedmentioning
confidence: 57%
“…In the literature, relative standard deviations (RSD) of <5-10% [19,23,24] for either component concentration or mass in the cup are generally reported but can reach up to 20% [13]. The average relative standard deviation for the studied experimental set was 2.5%, with the highest RSD of 8.5%.…”
Section: Extractedmentioning
confidence: 87%
“…The use of different coffee and water types, roasting levels, coffee puck masses, beverage sizes, and extraction machines impeded quantitative comparisons to other studies. Angeloni et al, who also used a 20 g Arabica coffee puck and a ~BR 1/2, extracted, on average, 3.39 mg g −1 trigonelline, 5.18 mg g −1 caffeine, 5.27 mg g −1 5-CQA, and 10.02 g (100 g) −1 TDS [13]. Taking into consideration that Caprioli et al reported trigonelline masses in the cup ranging from 28.20 mg to 65.08 mg and caffeine masses from 116.87 mg to 199.68 mg for the same extraction settings (7.5 g ground coffee, 25 mL EC, 25 s) for 20 different EC coffee brands, the experimental results were within the expected range [24].…”
Section: Extractedmentioning
confidence: 99%
“…The grinding process defines the particle size distribution and the amount of coffee mass in the portafilter. Finer grinding levels (GL) increase the particle surface area in contact with water, enabling a higher extraction yield for trigonelline, caffeine, and 5-caffeoylquinic acid (5-CQA) [13][14][15][16][17]. Increasing the ground coffee mass at a similar extracted EC volume increases the masses of trigonelline, caffeine, and 5-CQA in the cup [18,19].…”
Section: Introductionmentioning
confidence: 99%
“…Higher water temperatures (T) increase the components' solubility and reduce water viscosity [26]. However, the influence of water temperature on EC component mass in the cup has been inconclusive for experiments with otherwise constant conditions [13]. Albanese et al [27] analyzed coffee pods and reported increased caffeine concentration with rising temperatures from 90 • C to 110 • C. Masella et al [28] found no significant difference in trigonelline, caffeine, and chlorogenic acid concentrations in the EC cup for 75 • C, 80 • C, or 85 • C. For similar EC components, Andueza et al [29] reported several ambiguous temperature correlations for significant differences between EC brewed at 88 • C, 92 • C, 96 • C, and 98 • C. Also, Salamanca et al [30] described different influences on the caffeine and 5-CQA concentrations in the cup for upward and downward temperature gradients between 88 • C and 93 • C without identifying a conclusive correlation.…”
Brewing espresso coffee (EC) is considered a craft and, by some, even an art. Therefore, in this study, we systematically investigated the influence of coffee grinding, water flow rate, and temperature on the extraction kinetics of representative EC components, employing a central composite experimental design. The extraction kinetics of trigonelline, caffeine, 5-caffeoylquinic acid (5-CQA), and Total Dissolved Solids (TDS) were determined by collecting and analyzing ten consecutive fractions during the EC brewing process. From the extraction kinetics, the component masses in the cup were calculated for Ristretto, Espresso, and Espresso Lungo. The analysis of the studied parameters revealed that flow rate had the strongest effect on the component mass in the cup. The intensity of the flow rate influence was more pronounced at finer grindings and higher water temperatures. Overall, the observed influences were minor compared to changes resulting from differences in total extracted EC mass.
The three-dimensional incompressible Navier-Stokes equations play a fundamental role in a large number of applications to fluid motions, and a large amount of theoretical and experimental studies were devoted to it. Our work is in the context of the Global Regularity Problem, i.e., whether smooth solutions in the whole space R3 can become singular (“blow-up”) in a finite time. The problem is still open and also has practical importance, as the singular solutions would describe new phenomena. Our work is mainly inspired by a paper of Li and Sinai, who proved the existence of a blow-up for a class of smooth complex initial data. We present a study by computer simulations of a larger class of complex solutions and also of a related class of real solutions, which is a natural candidate for evidence of a blow-up. The numerical results show interesting features of the solutions near the blow-up time. They also show some remarkable properties for the real flows, such as a sharp increase of the total enstrophy and a concentration of high values of velocities and vorticity in small regions.
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