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Biosystems Engineering (2003) 86 (4), 481–485 doi:10.1016/j.biosystemseng.2003.08.012 PH}Postharvest Technology
Shrinkage Evaluation of Five Different Varieties of Coffee Berries during the Drying Process P.C. Afonso, Jr1; P.C. Corr#ea2; F.A.C. Pinto2; C.P. Sampaio2 1
Embrapa Caf!e, Edif!ıcio Sede da Embrapa, Bras!ılia, DF 70770-901, Brazil; e-mail of corresponding author:
[email protected] 2 Department of Agricultural Engineering, Universidade Federal de Vi-cosa, Vi-cosa, MG 36571-000, Brazil; e-mail:
[email protected] (Received 29 October 2002; accepted in revised form 13 August 2003)
The objective of this work was to evaluate the effect of moisture content variation on reduction of superficial area, volume and equivalent sphere diameter of coffee berries. Four varieties of Coffea arabica (cv Catua!ı Vermelho, Catua!ı Amarelo, Mundo Novo and Catimor) and one variety of Coffea canephora (cv Conilon) were used. From the results obtained, it was concluded that moisture content in the coffee berries affects its physical properties causing significant decrease of the superficial area, volume and diameter of the equivalent sphere during a drying process. The varieties of coffee had different shrinkage behaviour. The Conilon coffee had the highest level of berry shrinkage, the volume decreased 35% during the drying process from 138 to 012 dry basis (d.b.) berry moisture content. The shrinkage behaviour during the drying process was well explained by a polynomial model with coefficient of determination greater than 90%. # 2003 Silsoe Research Institute. All rights reserved Published by Elsevier Ltd
1. Introduction The physical behaviour of coffee berries is the main factor when developing equipment, processes and simulation models for this crop. Information about volume, superficial area, shape and dimensions of a product are important for studies regarding mass and heat transfer as well as airflow within a granular mass of the product. These parameters and the moisture content are used for predicting storage and drying conditions of grain and cereals. The information can also be used for quality losses prediction during the postharvest period. Changes in the original dimensions and shape occur simultaneously and water diffusion affects the rate of the moisture loss during drying. Researchers have pointed out that the volume change process is one of the main sources of error for drying simulation models of biological products (Lang & Sokhansanj, 1993). Most of the mathematical models used to simulate the drying process of agricultural products have neglected the volume changing during dehydration (Brooker et al., 1992). However, those models have been improved incorporating the volume change phenomenon (Lang et al., 1994). 1537-5110/$30.00
There is a significant volume shrinkage during the drying process of high moisture content products such as vegetables (Hatamipour & Mowla, 2002; Lozano et al., 1993). Hatamipour and Mowla (2002) reported a 90% of volume shrinkage when carrots were dehydrated from 900 to 0 d.b. moisture content. On the other hand, the volume shrinkage is less significant during drying process of lower moisture content products such as grain (Sun et al., 2002; Afonso Jr et al., 2000). Afonso Jr et al. (2000) reported a 20% of volume shrinkage when grains of millet were dried from 027 to 009 d.b. moisture content. Moisture content of coffee berries at harvest can range from 400 to 018 d.b. (Pinto et al., 2002). Physical property changes during the drying process have been studied for different products (Vilela, 1977; Bala & Woods, 1984; Weber, 1995; Mcminn & Magee, 1997; Couto et al., 1999; Ruffato et al., 1999). These changes tend to be more evident for high moisture content biological products such as coffee. Vilela (1977) studied coffee berries shrinkage, and reported a decrease in volume of 34% when drying the product from 203 to 023 d.b. moisture content. The agricultural product shrinkage depends, not only on the moisture content variation, but also on the drying 481
# 2003 Silsoe Research Institute. All rights reserved Published by Elsevier Ltd
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process condition and product shape (Ratti, 1994; Zogzas et al., 1994). Most fruits and grains do not present a defined geometric shape. Therefore, a known shape is usually assumed for solving problems where the product geometry is important. Ellipsoidal geometric form with three characteristic dimensions}major, middle and minor axes}has been used to represent most of the agricultural products (Agrawal et al., 1972). Another approach is to use a sphere with the same volume as the product for representing it (Almeida, 1979; Soares, 1986). To find the diameter of such volume equivalent sphere, Mohsenin (1986) suggest the following equation: D ¼ ða b cÞ1=3
2. Materials and methods Four varieties of Coffea arabica (cv Catua!ı Vermelho, Catua!ı Amarelo, Mundo Novo and Catimor) and one variety of Coffea canephora (cv Conilon) were used in this study. The berries were harvested with approximately 150 d.b. moisture content, and dried to approximately 012 d.b. moisture content. An oven with circulating air was used to dry the berries at 3538C drying air temperature. Following the recommendation of Pimenta and Vilela (2001), the moisture content was measured by the oven method, until a constant weight was reached by using oven temperatures of 10538C. Three samples were used for each test. During the berry drying process, three orthogonal characteristic dimensions of the berry were measured by using a digital calliper. Assuming the berry had an oblate ellipsoid shape (Fig. 1), ten randomly sampled coffee fruits were measured for each test. As proposed by Mohsenin (1986), the volume of each fruit was estimated by pabc 6
b a
Fig. 1. Fruit characteristic dimensions a, b and c for assumed oblate ellipsoid shape
ð1Þ
where: D is the equivalent sphere diameter in mm; and a, b, c are orthogonal characteristic dimensions in mm. There have been some studies on coffee berry shrinkage during the drying process (Vilela, 1976; Couto et al., 1999). However, these studies were based on only one variety of the plant. Thus, the objective of this work was to study the effect of moisture content reduction on superficial area, volume and diameter of equivalent sphere for different varieties of coffee berries.
V¼
c
ð2Þ
where V is the berry volume in mm3. The unitary shrinkage volume of each variety was evaluated by the ratio between the initial volume of the berry and the volume at each moisture content.
The superficial area of the berry was estimated by the equation proposed by Mohsenin (1986): ½ðb þ cÞ=22 1þe 2 ln ð3Þ A ¼ 2pa þ p 1 e e where: A is the superficial area in mm2; and the eccentricity e is given by ( )1=2 ððb þ cÞ=2Þ 2 e¼ 1 ð4Þ a The diameter of a sphere having an equivalent was estimated using Eqn (1). The software STATISTICA 50 (StaSoft, Inc., OK) was used to fit the experimental data into the following polynomial model: Y ¼ b0 þ b1 U þ b2 U 2 þ E
ð5Þ
where: Y is the experimental physical characteristics of coffee berries, such as superficial area in mm2, volume in mm3, diameter of volume equivalent sphere in mm3 or volume shrinkage; b0 is the model constant; b1 and b2 are the model coefficients; U is the moisture content in dry basis; and E is the random error.
3. Results and discussion The experimental and estimated data for the superficial area, volume, diameter of volume equivalent sphere, and volume shrinkage are shown in Figs 2–5. The physical characteristics decreased during the drying process. The product structural modifications associated with cellular variation, due to water losses, are the causes for the berry shrinkage (Mcminn & Magee, 1997). The berry dehydration reduces the inter-cellular spaces. Thus, the berry dry matter takes the place where there was water before. Although the Coffea canephora (cv Conilon) had smaller orthogonal characteristic dimensions than those of Coffea arabica (cv Catua!ı Vermelho, Catua!ı Amarelo,
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650.00
1.05 1.00 0.95 0.90
550.00
Volume ratio
Area, mm2
600.00
500.00 450.00 400.00 350.00 0.00
0.25
0.50
0.75 1.00 1.25 1.50 Moisture content (d. b.)
1.75
2.00
Fig. 2. Experimental and model estimated values of superficial area for coffee berries during the drying process; }, Catua!ı Vermelho; n, Mundo Novo; &, Catua!ı Amarelo; , Catimor; *, Conilon; }, estimated value 1200.00 1100.00 Volume, mm3
1000.00 900.00 800.00 700.00 600.00 500.00 400.00 0.00
0.25
0.50
0.75 1.00 1.25 1.50 Moisture content (d. b.)
1.75 2.00
Fig. 3. Experimental and model estimated values of volume for coffee berries during the drying process; }, Catua!ı Vermelho; n, Mundo Novo; &, Catua!ı Amarelo; , Catimor; *, Conilon; }, estimated value
Equivalent sphere diameter, mm
13.50 13.00 12.50 12.00 11.50 11.00 10.50 10.00 9.50 0.00
0.25
0.50
0.75
1.00
1.25
1.50
1.75 2.00
Moisture content (d. b.)
Fig. 4. Experimental and model estimated values of equivalent sphere diameter for coffee berries during the drying process; }, Catua!ı Vermelho; n, Mundo Novo; &, Catua!ı Amarelo; , Catimor; *, Conilon; }, estimated value
0.85 0.80 0.75 0.70 0.65 0.60 0.00
0.25
0.50
0.75 1.00 1.25 1.50 Moisture content (d. b.)
1.75
2.00
Fig. 5. Experimental and model estimated values of unitary volume shrinkage ratio V/V0 for coffee berries during the drying process; V, coffee berry volume at a specific moisture content;V0, initial coffee berry volume; }, Catua!ı Vermelho; n, Mundo Novo; &, Catua!ı Amarelo; , Catimor; *, Conilon; }, estimated value
Mundo Novo and Catimor), it had a higher level of shrinkage. Among the arabica coffee varieties, the Catua!ı Vermelho and Catua!ı Amarelo, the superficial area, volume and diameter of volume equivalent sphere were similar at the beginning and end of the drying process (Figs 2–4). The physical changes in Catimor and Mundo Novo varieties were also similar. Thus, the shrinkage behaviour of coffee berries was different, not only between species, but also among varieties. Analysing Fig. 5, it is noted that although Conilon started with the lowest moisture content, it ended up with the highest volume shrinkage, about 35%. Catimor berries also had about 35% of volume shrinkage. However, its berries were at a higher level of moisture content at the harvesting, leading to a greater initial volume than those of the other berries. The differences among the coffee berries also appeared in the polynomial model constants and coefficients (Table 1). The shrinkage behaviour during the drying process was well explained by polynomial model since most of the coefficient of determinations were greater than 90%. Shrinkage behaviour differences among the coffee species and varieties could be because of the differences in their external structures. For instance, the robusta coffee had thinner skin than that of arabica coffee (Matiello, 1998). Although the main focus of this research was in shrinkage behaviour of coffee berries during drying, the results showed that coffee berries shrinkage could not be negligible when modelling the coffee drying process. Using products that presented less shrinkage than coffee (Lang & Sokhansanj, 1993), researches have been improving drying simulation by incorporating the
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Table 1 The polynomial model constants and coefficients for superficial area A, volume V, equivalent sphere diameter D and unitary volume shrinkage ratio V/V0 of different coffee berries varieties; V0, initial berry volume; R2, coefficient of determination Physical characteristics
R2
Model constant and coefficients b0
Catua!ı Vermelho A V D V/V0
434327 636091 10653 0698
Catua!ı Amarelo A V D V/V0
445342 656207 10796 0757
MundoNovo A V D V/V0
b1 48498* 16320n.s 0195n.s 0018n.s
b2 } 92068* 0392** 0101*
0960 0978 0976 0978
44397* 131505* 0656* 0152*
} } } }
0797 0939 0934 0939
523001 747023 11282 0711
34856* 179029* 0797* 0170*
} } } }
0802 0965 0961 0965
Catimor A V D V/V0
525047 769038 11336 0670
50639** 127494** 0460** 0111**
54734* 175203* 0720* 0153*
0945 0976 0979 0976
Conilon A V D V/V0
398354 566097 10221 0700
0380n.s 0155** 0070** 0191**
57889** 228063* 1154* 0282*
0850 0966 0973 0966
*
Significant at the level of 1% of probability for the test T. Significant at the level of 5% of probability for the test T. n.s Not significant. **
shrinkage into the model (Spencer, 1972; Lang et al., 1994).
(3) the Conilon coffee berries resulted in the highest level of shrinkage; and (4) the shrinkage behaviour during the drying process was well explained by a polynomial model.
4. Conclusions From the investigation of shrinkage behaviour of five different varieties of coffee berries, the following conclusions were drawn: (1) the shrinkage behaviour of coffee berries were different not only between species (Coffea canephora and Coffea arabica) but also among varieties (Conilon, Catua!ı Vermelho, Catua!ı Amarelo, Mundo Novo and Catimor); (2) the berry physical characteristics}superficial area, volume, equivalent sphere diameter and unitary volume shrinkage}decreased during the drying process;
Acknowledgements This research was sponsored by EMBRAPA ! ). The authors have been sponsored by (PNP&CAFE the Brazilian Agencies CNPq and FAPEMIG. All the mentioned supports are gratefully acknowledged.
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