- Open Access
- Total Downloads : 303
- Authors : Michael M. Kamwere, Christopher L. Kanali, Urbanus N. Mutwiwa, Gareth M. Kituu
- Paper ID : IJERTV4IS120484
- Volume & Issue : Volume 04, Issue 12 (December 2015)
- Published (First Online): 23-12-2015
- ISSN (Online) : 2278-0181
- Publisher Name : IJERT
- License: This work is licensed under a Creative Commons Attribution 4.0 International License
Thin Layer Drying Characteristics of Stinging Nettle (Urticadioica L.) in a Solar Tunnel Dryer
Michael M. Kamwere*,
Agricultural Technology Development Centre, Box 1177-00232,
Ruiru, Kenya
Christopher L. Kanali
Department of Agricultural and Bio systems Engineering, JKUAT University,
Box 62000-00200,
Nairobi, Kenya
Urbanus N. Mutwiwa
Department of Agricultural and Bio systems Engineering, JKUAT University,
Box 62000-00200,
Nairobi, Kenya
Gareth M. Kituu
Department of Agricultural and Bio systems Engineering, JKUAT University,
Box 62000-00200,
Nairobi, Kenya,
Abstract: High moisture content vegetables form the bulk of most of the postharvest losses, estimated to be 30-40% in developing countries in the tropics and subtropics, due to poor post-harvest handling, transportation, processing and storage facilities. Various technologies have been used to minimise the losses and include cooling, traditional open sun drying, chilling and solar drying among others. In this study, thin layer solar drying characteristics of stinging nettle (Urticadioica L.) vegetables in a solar tunnel dryer were modelled against open sun drying. Fresh stinging nettle vegetables with average moisture content of 566.7% (dry basis) were dried for eight hours to final moisture content of 7.3 and 13.9 % (dry basis) for solar dryer and open sun, respectively. The colour of the samples was recorded at the start and end of the drying process. The data obtained from the drying tests was applied to nine (9) mathematical models namely Verma et al, Newton, Page, Modified Page, Henderson & Pabis, Logarithmic, Diffusion approximation, Two term and Two Term exponential. All the nine models investigated were found to be suitable for describing the drying characteristics of stinging nettle vegetables with R2 values greater than 0.96. However, Verma et al model satisfactorily predicted thin layer drying of stinging nettle vegetables better than the other models with the highest R2 of 0.994 and lowest 2 of 0.00112 and RMSE of 0.02899 for the solar dryer. Hue angle, h*, values obtained for the solar drying and open sun were 108.17±4.320 and 103.37±5.900, respectively, which were lower than the values for fresh stinging nettle of 125.60±1.310. Although the hue angle of dried vegetables is lower than the fresh ones, solar dried vegetables have high hue angle as compared to sun dried hence better quality.
Keywords: Thin layer drying models, moisture content, moisture ratio, solar tunnel dryer
-
INTRODUCTION
Stinging nettle (Urticadioica L.) is one of the numerous traditional leafy vegetables that are commonly used in Kenya to spice up food. It is mainly found growing wildly especially in forested areas like the Mt. Kenya and Aberdare ranges [1]. Few farmers cultivate stinging nettle as a crop in the farms where they harvest, dry it and mill before packaging and selling [1].
However the plant is popularly used both a vegetable and as a herb. Specific studies have demonstrated that stinging nettle has antifungal properties [2]. In Europe, nettle leaves and roots have been used in hair products to promote hair growth, treat eczema and control dandruff [3]. It is therefore among plants foraged from the wild and eaten as a vegetable [4]. It is a popular crop both as food and as herbal medicine even in countries like Nepal [5] and Poland [6]. The fresh vegetables start to lose their quality immediately after harvest, becoming damaged, wilted and eventually rotten if no preservation is done. Good quality vegetables are abundantly available during the rainy season but scarce thereafter. Its therefore necessary to reserve them for use during the off-peak period.
Drying is one of the traditional methods of preservation, which converts the vegetables into lightweight, easily transportable, and storable product. One of the advantage of this method is that the vegetable can easily be converted into fresh like form by rehydration, which makes the vegetable available in times of lean supply periods. In addition, drying reduces post-harvest losses, labour and storage space and makes dehydrated vegetables easy to use while increasing their shelf- life [7]. In order to assure preservation for long-term storage, it is necessary to process the vegetables by drying [8]. The drying process effects changes in the product both biochemically (viz., Maillard reactions, vitamin degradation, fat oxidation, denaturation of thermally unstable proteins, enzyme, etc.) and physically [9]. The quality of dried vegetables depends partly on changes occurring during the drying process and storage. A number of traditional and modern advanced techniques are used to accomplish drying. These methods are conventional sun drying, microwave drying, oven drying, freeze drying and solar drying. Open sun drying has traditionally been used to dry agricultural produce for decades [10]. However, open sun drying has limitations like inability to have control of the drying process, unpredictability of weather during drying process, high labour costs, large area requirements, insect infestation and contamination with dust, animal droppings and other foreign materials.
Solar drying, on the other hand, has become an important alternative for farmers and entrepreneurs for adding value to agricultural produce in Kenya [11]. Enclosed drying methods provide protection against rain and contamination and usually reduce drying time. Solar cabinet, tunnel dryers and green house dryers have lower operating costs and can be completely passive (natural convection) [12], or rely on forced convection (use mechanical fans). Mechanized drying is usually the fastest with optimized conditions, but requires fuel or electricity to operate.
Solar powered dryers generate relatively high air temperatures and low relative humidity, both of which are conducive to improved drying rates [13]. The abundance of solar power, its cleanliness to environment and renewable energy source makes it more preferable in Kenya as well as other tropical countries for use in solar drying systems and as a source of power for domestic use like lighting. The technologies that are employed to tap the solar energy for drying are also relatively cheap and can be made with locally available materials, hence, making it quite appealing and easily adoptable compared to other sources like oil, gas, wood or electricity.
Mathematical modelling of thin layer drying is important for optimum management of operating parameters and prediction of performance of the drying system [14], and understanding of the drying process [15]. It is essential to set out accurate models to simulate the drying curves under different drying conditions [16]. The theoretical drying models suggest that the moisture transport is controlled mainly by internal resistance mechanisms of the product, while the others (semi-theoretical and empirical models) consider only external resistance [17]. These models are Newton, Page, Modified Page, Verma et al Henderson & Pabis, Logarithmic, Diffusion approximation, Two term and Two Term exponential. Validation of the established drying models, can be made by comparing the computed and measured moisture contents [18], [19], [16] and/or plotting of the residuals versus the predicted values by the model [20]-[23]. Using these models the drying characteristics of vegetable will be established.
-
MATERIALS AND METHODS
Experimental site
The study was conducted at the School of Bio-systems and Environmental Engineering of Jomo Kenyatta University of Agriculture and Technology (JKUT), Kenya, during the month of March 2015. JKUAT is located in Juja which is situated at latitude of 37.010E and longitude of, 1.090S, and at an altitude of 1537 m above sea level.
Solar tunnel dryer description
The solar tunnel dryer used for the thin layer drying of the stinging nettle vegetables was earlier used for fish by Kituu et al [24], (Figure 1). The dryer comprised of three sections namely the rectangular collector surface and the air heating chamber beneath the collector both measuring 2.44m by 1.22m and the drying compartment. The collector plate is 19mm thick and is made of galvanized iron (GI). To enhance absorption and emission of solar energy, the collector plate is painted black and is covered by a dome shaped vinyl cover to protect collector plate from dust and rain as well as retarding heat from escaping. The base of the heating chamber is made of aluminium painted galvanized sheet in order to reflect incident energy to enhance heating. A soft board, sandwiched between G.I sheets was used for insulating the side walls and the doors of the dryer in order to reduce energy losses [24]. To further minimise temperature fluctuation, heat chamber unit was packed with riverbed stones (1.9-2.54cm in diameter) occupying a volume of 0.26 m3, which is the average limit volume of between 0.15 to 0.35 m3 [25]. Riverbed were preferred due to their cleanliness and high thermal conductivity (0.7 W/ (m.K) compared to sand (0.15 – 0.25W/ (m.K). A direct current solar driven exhaust fan of capacity 1.2m/s was fitted to the dryer at the base of the chimney to enhance air flow when needed. Temperature and relative humidity both inside and outside the dryer were recorded using digital data loggers (HOBO mini weather station U30 Onset, MA, USA). Two thermocouples recorded drying air temperature and relative humidity at entrance and exit of the drying chamber while a third one recorded ambient air condition. Solar radiation was recorded using a solar radiation sensor (Silicon Pyranometer smart sensor, model S-LIB-M003) which was mounted on the HOBO mini weather station data logger
Solar panel
Collector surface
Acrylic cover
Heating chamber
Air flow
Air inlet A
Chimney
Exhaust fan
Drying trays
Drying chamber
3
C
2 Battery
1
Hot Air flow
B
Heat sink
Heating chamber
Drying chamber
Figure 1: A schematic diagram of the solar tunnel dryer
Data collection procedure and analysis Drying tests
Fresh stinging nettle vegetables were bought from local
market (Juja market) early in the morning and transported to the
Since the values of Me are relatively small compared to M and Mo during solar drying and the continuous fluctuation of relative humidity, equation 2 can be simplified to equation 3 [29].
site in a sealed plastic bucket in order to minimise moisture loss. The samples were prepared for drying by removing stalks, dry leaves, damaged leaves and foreign materials like pests and
MR M ekt M 0
other objects. No size reduction was done on the leaves. The weight of the samples before and after drying, and that of the plastic trays on which the samples were placed were measured using a digital scale Mittler Toledo (Model PB3002, Mittler Toledo, Switzerland, sensitivity 0.1mg). Nine samples were placed in the three dryer levels (1,2,3) inside the solar dryer, three at each level whereas control sample were placed in the
The effective moisture diffusivity coefficients (Deff) was determined by plotting experimental drying data in terms of ln(MR) versus time (t) [30].The plot gives a straight line with a slope S given by equation 4, where, Deff is the effective moisture diffusivity (m2s-1) and L is the half thickness of vegetable (m).
2 Deff
open sun.The drying preparation and process was carried out between 9am and 6pm on 12th March 2015.The weights of the
S
4L2
(4)
samples were recorded as the drying progressed. The relative humidity and temperature inside the dryer and ambient air were recorded at 30 minutes interval using HOBO-mini weather station logger
A fresh vegetable sample was placed in a electirc convective oven for 24 hours to determine the initial moisture content at 1050C [26]. The amount of moisture content (M.C) in a product is designated on the basis of the weight of water (i.e. dry or wet basis). On dry basis (%), it can be calculated as in equation 1[27]. In this equation, M.C is moisture content, Ww is weight of fresh sample and Wd weight of dry sample.
Quality evaluation
Quality was evaluated based on colour and the parameters of colour (lightness (L*), redness (a*), yellowness (b*) for the vegetables) were measured at the start and the end of the drying period, using Minolta colour difference meter (Model CR-200, Osaka, Japan) [31]. According to the colour meter model, the L* measures the whiteness, ranges from (black at 0 to white at 100). The a* measures green when negative and red when positive and the b* measures blue when negative and yellow when positive.
Hue angle, h is the attribute of colour that is related to the
%M .C
Ww 100
W
db
d
(1)
perceived colours: red, yellow, green and blue or a combination of two of them, and measures the color the eye is able to perceive and is given by equation (5) [32].
Moisture ratio, MR, is the ratio of the residual moisture
content at any given time to the absolute residual moisture
H
tan
1 b
a for a
0,
b 0
(5)
content and is represeted by equation 2, [28], in which Mo is the initial moisture content and M the equilibrium moisture content
1 b
e 180 tan , for
a
a 0, b 0;
MR
M M e
(2)
and for a 0,
b 0,
M o M e
360 tan
b 1
a , for
a 0, b 0
The colour parameters are related to the browning reaction where a decrease in L* values, and increase in a* values and a decrease in h* values indicate more browning [33-34].
Modelling the drying process
In the equations, MRexp,I is actual moisture ratio; MRpre,I is predicted moisture ratio; N is number of observations; n is number of constants.
The data obtained was fitted to nine (9) thin-layer drying models given in Table 1 using the nonlinear least squares
%
(MR
pred,i
-
MR
act, i )
x 100
(9)
regression analysis. Statistical analyses of the test data was performed using Excel spreadsheet (MS Excel, 2013TM). The statistical validity of the models was evaluated and compared using the coefficient of determination (R2), root mean square error (RMSE), and reduced chi-square (2), (equations 6,7,8). Best model was based on R21, and low values of 2 and RMSE,
Weather data
MRact,i
-
-
RESULTS AND DISCUSSION
respectively. The consonants a, b, c and n are drying coefficients, t is drying time (hours) and k is drying constant (h-1) (35, 36, 37)
Model Equation
Model name
MR exp(kt )
Newton
MR exp (ktn )
Page
MR a exp (kt )
Henderson and
MR a exp (kt ) c
Logarithmic
MR a exp (k1t ) b exp (k2t )
Two-Term
MR a exp(kt ) (1 a) exp(kat )
Two-Term
MR exp ((kt)n
Modified Page
MR a exp(kt ) (1 a) exp(gt)
Verma et al.
MR a exp(kt ) (1 a) exp(kbt )
Diffusion
approximation
Tale 1: Mathematical models given by various authors for drying curves
Pabis
Exponential
The acceptability of the best model was based on how close to one (1) the values of R2 were, and how low values for the
Time of day
Tdrying chamber (°C) Tambient (°C)
Solar Radiation (W/m²)
400
20
600
30
800
40
Temperature,oC
9:46
10:16
10:46
11:16
11:46
12:16
12:46
13:16
13:46
14:16
14:46
15:16
15:46
16:16
16:46
17:16
17:46
Solar radiation,W/m2
2
The results on the solar tunnel dryer during the drying on 12th March 2015 revealed that the maximum drying chamber temperatures were 52.9oC recorded at 15.30hrs while the maximum ambient temperature was 34.8oC at 14.45hrs. The highest solar radiation intensity recorded during the period of drying was 1081.9 W/m2 at 13.01hrs (Figure 1 and 2). The test results further show that the temperature and relative humidity in the drying chamber experienced minimal fluctuations as solar radiation fluctuated. This was associated to heat storage provision in the heating chamber that released stored heat.
60
1200
50
1000
10
200
0
0
reduced and root RMSE were [35]. This evaluates how well
the best model fits the data describing the drying of the vegetables. The absolute residual error () was defined by equation 9, where lower values further confirms the suitability of the model, [38].
Figure 1: Temperature and solar radiation during the drying period
1200
1000
800
600
400
200
0
45
40
35
30
25
20
15
10
5
0
Relative humidity, (%)
Solar radiation, W/m2
N 2
MR pred,i MRexp,i
R2 1 i1
(6)
N MR
i1
pred
-
MR
2
pred,i
RMSE 1 N MR
-
MR
2 2
N i 1
pred,i
exp,i
Time of day
Rh drying chamber (%) Rh ambient (%)
Solar Radiation (W/m²)
1
(7)
N MR
pred,i
-
-
MR
1
2
2
exp,i
X 2 i 1
Figure 2: Relative humidity and solar radiation during the drying period
N n
(8)
Drying curves
S.D
Moisture content, db %
Drying test results show that the moisture content of the vegetables was reduced from 566.7 to 7.3 and 13.9% db. for solar dryer and open sun, respectively, within 8 hours of drying (Figure 3 and 4). The results further indicate that drying took place mainly in the falling rate period as there was no evidence of constant rate period, implying that diffusion was the dominant physical mechanism governing moisture movement in the material [39], which is dependent on the moisture content of the samples [40].
600
550
500
450
400
350
300
250
200
150
100
50
0
O.S
0 1 2 3 4 5 6 7 8 9
Drying time, hrs
Moisture ratio, dimensionless
Figure 3: Moisture content curves for vegetable drying in solar dryer and open sun
1.1
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
O.S
S.D
0 1 2 3 4 5 6 7 8 9
Drying time, hrs
Figure 4: Moisture ratio curves for the vegetables dried in the solar dryer and open sun
Effective diffusivity
The mean effective moisture diffusivity (Deff) values of the vegetables dried in the solar drier and open sun were 1.41 x 10- 9 and 8.81 x 10-10m2s-1, respectively. The higher values obtained for the solar dryer are related to the higher temperature in the solar dryer as compared to open sun as confirmed by earlier studies indicating that an increase in temperature leads to increase in moisture removal rate from the product [41]. The values obtained for the vegetables were consistent with the general range of 10-9 to 10-11 m2/s, which is typical of food materials and agricultural crops as reported in earlier studies for kale leaves [42] and mint leaves [43].
Quality evaluation
Colour plays a key role in food choice, food preference and acceptability, and may influence taste thresholds, sweetness perception, and pleasantness [34]. Hence, it is a very important quality factor in processed vegetable products to influence consumer acceptability. Many reactions take place during thermal processing which affect colour. The most common are pigment degradation, chlorophyll, and browning reactions such as Maillard reaction and oxidation of ascorbic acid [9].
Colour measurement was done at the start and finish of the drying process for both the solar and open sun drying. As shown in Table 2, the values of L*, a*, and b* for fresh, solar dried and open sun dried vegetables ranged from 44.22 to 27.36, -15.23 to -2.03 and 21.31 to 8.57 respectively. The colour parameters are related to the browning reaction where a decrease in L* values, an increase in a* values and a decrease in h* values indicate more browning [33, 34].The computed average hue angle, h*, values obtained for the fresh vegetables was (125.60±1.310), higher than for solar dried (108.17±4.320) and open sun drying (103.37±5.900), respectively. From the results, therefore, solar drying showed less browning effect on vegetables compared to open sun drying.
At 95% level of confidence, t test results showed significant difference (tcalculated, 13.778; tcritical, 2.262) between h* of the fresh and solar dried vegetables. Similar results were observed for open sun drying (tcalculated, 12.815; tcritical, 2.262) showing significant difference between the fresh and the dried vegetables. However, there was no significant difference between the solar tunnel and open sun dried vegetables (tcalculated, 1.740; tcritical, 2.262)
Table 2: Colour parameters for fresh, solar dried and open sun dried vegetables
Vegetable state
Colour parameters
L*
a*
b*
h*
Fresh
44.22± 1.95
-15.23±0.75
21.31±1.52
125.60±1.31
Solar dried
28.37±2.66
-3.03±1.23
8.91±1.45
108.17±4.32
Open sun dried
27.36±3.13
-2.03±1.10
8.57±1.86
103.37±5.90
Modelling
Regression analysis was conducted to fit the experimental data to the nine drying models (Table 1). This analysis related the drying time and moisture ratio to select the model that best describes thin layer drying of the vegetable. The results show that all the nine models considered satisfactorily described the drying process of the vegetable, with all attaining R2 > 0.96. However, Verma et al model was the best with R2 (0.994) and the lowest RMSE and 2 (0.0289, 0.0011) values, respectively, for the solar tunnel dryer thus satisfactorily predicting the thin layer drying of vegetable better than the other models. Similarly, for open sun drying, all the nine models satisfactorily predicted the drying process, with R2 > 0.99. However, Logarithmic model best predicted the thin layer drying characteristic of the vegetable with the values of R2, RMSE and 2 of 0.998, 0.0115 and 0.0002, respectively.
Predicted
The mean values of absolute residual errors and the corresponding standard deviations achieved by the nine drying models indicate that the Verma et al and Logarithmic models attained the lowest men residual errors of 11.9±19.1 and 6.8±3.7 for solar dryer and open sun drying, respectively, further confirming the superiority of the two models. The low corresponding standard deviations illustrate uniformity in prediction level of these models [38]. Comparison of the predicted and experimental moisture ratios values by the two models show that the data is bundled along a straight line with R2 of 0.994 and 0.998 for solar dryer and open sun, respectively thus confirming the superiority of the two models, Figure 5 and 6.
1.20
1.00
0.80
0.60
0.40
0.20
0.00
R² = 0.9936
0.00 0.20 0.40 0.60 0.80 1.00 1.20
Experimental
Predicted
Figure 5: Comparison between the predicted moisture ratios using Verma model and the experimental values for the solar tunnel dryer
1.20
1.00
0.80
0.60
0.40
0.20
0.00
R² = 0.9984
0.00 0.20 0.40 0.60 0.80 1.00 1.20
Experimental
Figure 6: Comparison between the predicted moisture ratios using logarithmic model and the experimental values for the open sun
-
-
CONCLUSIONS
Although all the nine models show good predictive results of R2 >0.961, Verma et al model was the best model predicting the drying of stinging nettle in the solar dryer, with the highest R2 0.993 and the lowest 2 0.00112 and RMSE 0.02899, respectively. Further, the results of the mean absolute residual errors and the corresponding standard deviations 11.9±19, confirms that Verma et al model was the best for predicting the drying of stinging nettle the tunnel solar dryer in comparison to the other models. The mean effective moisture diffusivity (Deff) values of the vegetables dried in the solar drier and open sun were 1.41 x 10-9 and 8.81 x 10-10m2s-1, respectively, which is within the general range of 10-9 to 10-11 m2/s, typical of food materials and agricultural crops. The computed average hue angle, h*, values obtained for the fresh vegetables was
125.60±1.31, higher than for solar dried 108.17±4.32 and open sun drying 103.37±5.90, respectively.
-
REFERENCES
-
Ministry of Agriculture (MOA). Kirinyaga District Annual Report. (2000)
-
K. A Yongabi,.U. H.Dukku, M.O Agho and I. Y Chindo.,. Studies on antifungal properties of Urtica dioca Urticaceae (Stinging nettle).Journal of phytomedicine and Therapeutics 5(1): 39-43. (2000)
-
K.G Wheeler, Natural history of nettles. (2002)
-
A Tizio, uczaj, J. ., Quave, C. L., Redzic, S. and Pieroni,A. Traditional food and herbal uses of wild plants in the ancient South-Slavic diaspora of Mundimitar/ Montemitro (Southern Italy),Journal of Ethnobiology and Ethnomedicine, vol.8, article 21. .(2012)
-
Y Uprety, R. C Poudel, K. K Shreshta et al., Diversity of use and local knowledge of wild edible plant resources in Nepal, Journal of Ethno biology and Ethnomedicine,vol.8,article16. (2012)
-
uczaj, A Pieroni, J Tard´io, et al, Wild food plant use in 21st century Europe: the disappearance of old traditions and the search for new cuisines involving wild edibles,Acta Societatis Botanicorum Poloniae, vol.81, no.4, pp.359370. (2012)
-
S.K Chauhan,.and C. R. Sharma,. Development of instant dehydrated saag. Beverage and Food World, 20(4): 25-26. (1993)
-
K.S., Jairaj, S.P Singh, K Srikant, A Review of Solar Dryers Developed for Grape Drying, Solar Energy, 83, pp. 16981712.(2009)
-
J.A Barreiro, M Milano, and A.J. Sandoval,. Kinetics of colour change of double concentrated tomato paste during thermal treatment. Journal of Food Engineering. 33 (1): 359-371. (1997)
-
M. A Basunia, and T Abe, Moisture adsorption isotherms of rough rice. Journal of Food Engineering 42: 235-242. (1999)
-
R Margaret, Solar dryers in Kenya (2009)
-
V.K Sharma, A Colangelo, and G Spagna,., Experimental investigation of difference solar dryers suitable for fruit and vegetable drying, Renew. Energy, 6(4), 413424. (1995).
-
Food and Agricultural Organisation (FAO), Technology Assessment and Transfer for Sustainable Agriculture and Rural Development in the Asia
Pacific Region. Sustainable Development Department, FAO of the United Nations. (1994),
-
D Jain, Modeling the system performance of multi-tray crop drying using an inclined multi-pass solar air heater with in-built thermal storage. Journal of Food Engineering; 71:4454.(2005)
-
K Gornicki, and A Kaleta, Drying curve modelling of blanched carrot cubes under natural convection conditions. Journal of Food Engineering, 82, 160170. (2007)
-
S Simal, A Femenia, M. C Garau,. and C Roselló,.. Use of exponential Pages and diffusional models to simulate the drying kinetics of kiwi fruit. Journal of Food Engineering66 (3): 323- 328.(2005)
-
S. J.Babalis, E Papanicolaou, N Kyriakis,. and V. G Belessiotis,.. Evaluation of thin layer drying models for describing drying kinetics of figs (Ficuscarica). (2006)
-
A Midilli, H Kucuk, and Z Yapar,., A new model for single layer drying. Drying Technology20 (7):15031513. (2002).
-
I. E Saeed, K Sopian, and Z ZainolAbidin,.. Drying kinetics of Roselle (Hibiscus sabdariffaL.), dried in constant temperature and humidity chamber. Proc., SPS 2006. Edited by Muchtar. 29-30 August 2006, 143-
148. Permata, Bangi, S.D.E., Malaysia. (2006)
-
G Keller, Applied statistics with Microsoft excel. Duxbury: Wadsworth group. (2001)
-
R Peck, C Olsen, and J Devore.. Introduction to statistics and data analysis. Duxbury: Brooks/Cole. (2001).
-
C Spatz, Basic statistics, Tales of distributions. 7th Edition. Belmont: Wadsworth /Thomson learning.(2001)
-
S. B Vardeman, and J. M Jobe,.. Basic engineering data collection and analysis. Duxbury: Brooks/Cole. (2001)
-
G.M Kituu, D Shitanda,., C.L Kanali., J.T Mailutha,., C.K Njoroge,., J.K.Wainaina, and V.K Silayo,., Thin layer drying model for simulating the drying of Tilapia fish (Oreochromis niloticus) in a solar tunnel dryer. J. Food Eng., 98, 325331. (2010).
-
Y Goswani Alternative energy in agriculture. CRC Press Inc., Florida. 2: Pp. 83-102. (1986).
-
R. P Ruiz, Gravimetric measurements of water. Handbook of food analytical chemistry. Edited by: Wrolstad et al.John Wiley and Sons, NJ, USA: 5-12.(2005).
-
I Ceylan, M Aktas,. and H Dogan,. Mathematical modeling of drying characteristics of tropical fruits. Applied Thermal Engineering 27: 1931- 1936. 2007
-
B O¨zbek, and G Dadali, Thin-layer drying characteristics and modelling of mint leaves undergoing microwave treatment. Journal of Food Engineering83: 541-549. (2007)
-
Yaldiz and Ertekin, Thin layer solar drying of some different vegetables. Drying Technology, 19(3), 583596. (2001)
-
I Doymaz, Pretreatment effect on sun drying of mulberry fruits (morus alsa, L.). Journal of Food Engineering, 65: 205-209. (2004)
-
Y Soysal, Microwave Drying Characteristics of Parsley. Biosystem Engineering 89, 167-173. (2004)
-
A Mohammadi,.S Rafiee,., Z Emam-Djomeh,. and A Keyhani,. Kinetic models for colour changes in Kiwifruit slices during hot air drying. World Journal of Agricultural Sciences, 4 (3): 376383. (2008).
-
A.M.C.N Rocha, and A.M.M.B. Morais,. Shelf life of minimally processed apple (cv. Jonagored) determined by colour changes. Food Control, 14: 1320 (2003)
-
M.N.A Hawlader, C.O Perera,. and M Tian,.. Properties of modified atmosphere heat pump dried foods. Journal of Food Engineering, 74: 392 401. (2006)
-
I Doymaz,Sun drying of figs: an experimental study. J Food Eng 71, 403 407 (2005).
-
L.M Diamente, and P.A Munro. Mathematical Modelling Of The Thin Layer Solar Drying Of Sweet Potato Slices, Solar Energy 51(4), pp. 271 276. , (1993)
-
K Sacilik, R, Keski, and A.K Elicin, Mathematical modelling of solar tunnel drying of thin layer organic tomato, Journal of Food Engineering. (2005).
-
C.L Kanali, Prediction of axle loads induced by sugarcane transport vehicles using statistical and neural-network models. Journal of Agricultural Engineering Research, 68(3): 207213. (1997)
-
Doymaz, I.The kinetics of forced convective air-drying of pumpkin slices. Journal of Food Engineering 79: 243-248. (2007)
-
S Prachayawarakorn, W Tia, N Plyto,. and Soponronnarit, S. 2008. Drying kinetics and quality attributes of low-fat banana slices dried at high temperature. Journal of Food Engineering 85: 509-517.
-
K Sacilik, A.K Elicin. The thin layer drying characteristics of organic apple slices. Journal of Food Engineering 73: 281-289. (2006)
-
G Mwithiga, and J.O Olwal,.The drying kinetics of kale (Brassica oleracea) in a convective hot air dryer. Journal of Food Engineering 71: 373378. (2005)
-
I Doymaz. Thin-layer behaviour of mint leaves. Journal of Food Engineering74: 370375. (2006)
-
Clydesdale. Quality attributes of minimally processed foods, Food Technol., 51(9): 44-46, 48, and 51. (1993)