Thin Layer Drying Kinetics for Osmotic Dehydrated Coconut Slices in Salt Solution

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This work was carried out to determine the most appropriate thin layer drying model and theeffective moisture diffusivity of coconut slices for both without treatment of osmotic dehydration and osmoticdehydration of coconut slices in salt solution .The coconut slices were dried in conventional Tray Drier at differenttemperatures such as 50 0c, 600 c and 700 c. The Drying data found through the experimental studies were fitted toeight thin layer drying models. The Midilli model was found to be the best one for describing the thin layer dryingkinetics of the coconut slices for both without treatment of osmotic dehydration and osmotic dehydration of coconutslices in salt solution. the effective moisture diffusivity was calculated by using Fick’s second law, which varied from6.296739x10-10 to 1.035369x10-09 m2/s for without treatment of osmotic dehydration of coconut slices and8.029399x10-10 to 1.225539x10-09 m2/s for osmotic dehydration of coconut slices in salt solution. The relationbetween moisture diffusivity and temperature was described by Arrhenius type equation .The D0 and Ea for withouttreatment of osmotic dehydration was 3.2908*10-6 m2/s and 22.963 KJ/g mol and for osmotic dehydrated coconutslices, it was 1.10344*10-6 m2/s and 19.454 KJ/g mol.

Transcript of Thin Layer Drying Kinetics for Osmotic Dehydrated Coconut Slices in Salt Solution

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    Thin Layer Drying Kinetics for Osmotic Dehydrated Coconut Slices in Salt Solution

    G.Kamalanathan 1 , Dr.RM.Meyyappan2

    Department of Chemical Engineering, Annamalai university, Annamalai nagar, Tamil nadu,India. _________________________________________________________________________________________

    Abstract: This work was carried out to determine the most appropriate thin layer drying model and the effective moisture diffusivity of coconut slices for both without treatment of osmotic dehydration and osmotic dehydration of coconut slices in salt solution .The coconut slices were dried in conventional Tray Drier at different temperatures such as 50 0c, 600 c and 700 c. The Drying data found through the experimental studies were fitted to eight thin layer drying models. The Midilli model was found to be the best one for describing the thin layer drying kinetics of the coconut slices for both without treatment of osmotic dehydration and osmotic dehydration of coconut slices in salt solution. the effective moisture diffusivity was calculated by using Ficks second law, which varied from 6.296739x10-10 to 1.035369x10-09 m2/s for without treatment of osmotic dehydration of coconut slices and 8.029399x10-10 to 1.225539x10-09 m2/s for osmotic dehydration of coconut slices in salt solution. The relation between moisture diffusivity and temperature was described by Arrhenius type equation .The D0 and Ea for without treatment of osmotic dehydration was 3.2908*10-6 m2/s and 22.963 KJ/g mol and for osmotic dehydrated coconut slices, it was 1.10344*10-6 m2/s and 19.454 KJ/g mol.

    Keywords: Salt solution, Dryer, Osmotic dehydration, Coconut slices

    ________________________________________________________________________________________

    Introduction

    The coconut palm (cocos nucifera ) is a member of the family Aeraceae (palm family). Botanically, a

    coconut is a simple dry nut known as fibrous drupe. Coconut is grown in more than 90 countries worldwide. India

    holds a premier position in the world with a total production of 10,824,100 tonnes (faostat. 2013) .Drying is one of

    the oldest methods of food processing. Drying preserves food by removing enough moisture from food to prevent

    decay and spoilage by bacteria, yeasts and moulds. The osmotic dehydration is a method for the partial dehydration of

    foods, such as fruits and vegetables, by immersing them in a concentrated sugar or salt solution. The intermediate

    moisture content product obtained after osmotic dehydration is not shelf stable. It must be preserved by any other

    means. As an example, it can be further dried, canned or frozen .osmotic dehydration was done to improve colour and

    flavour, to reduce shrinkage of the food material and potential energy savings up to 50% of initial moisture is

    removed from the food material without undergoing a phase change. Drying is an important operation in the food

    and pharmaceutical industries and accomplished by techniques such as air drying, vacuum drying, spray drying and

    freeze drying (Banga, J.R. & Singh, R.P, 1994). Hot air drying is widely used commercial technique for drying

    biological products (Mazza, G. & Le Maguer, M,1980).

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    The theoretical model considers only the internal resistance to moisture transfer between product and

    heating air whereas semi-theoretical and empirical models consider only the external resistance (Midilli A et al,

    2002). Empirical model neglects the fundamentals of drying process and presents a direct relationship between

    average moisture and drying time by means of regression analysis (Wang CY& Singh RP, 1978). The semi theoretical

    model is derived from the Ficks second law of diffusion. Drying of many food products such as rice (Ece, M. C., &

    Cihan, A., 1993), soya been (Suarez ,c.et al, 1980) and rapeseed (Crisp, J., & Woods, J. L,1994) has been successfully

    predicted using Ficks second law with Arrhenius type temperature dependent diffusivity.

    The study done on pomegranate arils showed that the drying rate increased with the drying air temperature,

    thus reducing drying time. Entire drying process of the pomegranate arils occurred in the falling rate period. The page

    model was found to be suitable to predict the moisture ratio of pomegranate arils in a thin layer drying

    (A.R.P.Kingsly&D.B.Singh, 2007). similar result were reported in strawberry where modified page model was found

    to be the suitable model (Ebru Kavak Akpinar &Yasar Bicer, 2006).osmotic dehydration is a method to aid removal

    of coconut kernel from the shell without much difficulty. They have proposed a semi-empirical model to predict the

    moisture content of the coconut at any point of immersion time(N.K.Rastogi & K.S.M.S.Raghavarao. ,1994).A

    considerable amount of work has been carried out on thin layer drying of different food and vegetables products

    .some of the thin layer models were reported for drying of litchi (Janjaia et al.,2011), potato(Akpinar, E. K et

    al.,2003a), sweet potato (Diamente, L. M., & Munro, P. A. ,1991).) and wheat (Kassem, A. S.,1998). In this study, the

    thin layer drying characteristics for untreated coconut slices and osmotic treated coconut slices in salt solution were

    investigated. In addition, the Effective Diffusivities and Activation Energy in the convective drying process of

    coconut slices were also calculated.

    Materials and Methods

    The commercially available salt was used to prepare osmotic solution. The desired quantity of salt was mixed with

    required amount of distilled water to prepare desire range of osmotic salt solution. The concentration of salt solution

    was measured by using refractometer. The mature coconuts of 10 month after flowering were purchased from local

    market. The average moisture content of coconut slices was found to be 123.713 % on Dry basis. The initial moisture

    content of coconut slices was measured by drying coconut slices in hot air oven at 105 0 c for 5hrs. The kernel portion

    of the coconut was taken and washed with water to remove other debris. The kernel was cut into pieces of 5 mm

    thickness and 20 mm length. The coconut slices of 100 g were weighed and initially undergoing pre treatment such as

    blanching and immersing in 2% citric acid solution to increase the shelf life of the coconut slices. For without

    treatment of osmotic dehydration, the coconut slices after pre treatment dried in a tray dryer at different

    temperature such as 50 0c , 60 0c and 70 0c. The drying process was continued until the drying rate reached zero.

    Similarly for osmotic dehydration, The coconut slices were weighed, pre-treated, treated in osmotic salt solution and

    dried in tray dryer at different temperature such as 50 0c, 60 0c and 70 0 c until drying rate reached zero.

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    Osmotic treatment

    Coconut slices of 100 g were weighed and then blanched at 90 C for 2 minutes to inactivate the enzymatic activity and immersing in 2% citric acid solution to increase the shelf life of the coconut slices. The slices were placed

    in a 500 ml Erlenmeyer flask comprised of osmotic salt solution. The osmotic solution to sample ratio was maintained

    as 5:1 (w/w). Osmotic dehydration was performed under constant agitation of 200 rpm, to maintain a uniform

    constant temperature throughout the experiment. After osmotic dehydration, the samples were removed from osmotic

    solution and blotted with adsorbent paper to remove the excess salt solution. The coconut slices were dehydrated in

    osmotic salt solution at process conditions of parameter such as 16.27 % w/w salt concentration, 34.74 0 c temperature

    and 2.01 hours processing time. The experiment was conducted at this process conditions and the experimental values

    were obtained for response variable such as WR, SG and WL were 14.380.025, 1.77 0.052 and 16.160.048

    respectively.

    Hot air drying Equipment

    Hot air drying was performed in a tray dryer operating at air velocity of 1.5 m/s which was measured using anemometer. The tray dryer consists of trays made of stainless steel. The dryer consisted of temperature controller

    (50-250 0 c dry bulb temperature) and a centrifugal fan for air flow. The dryer was run without sample for about 30

    minutes to set desired conditions for each drying experiment. The coconut slices after pre treatment, they were

    subjected to hot air drying in tray dryer at 50, 60 and 70 C for without treatment of osmotic dehydration of coconut

    slices .Similarly for osmotic dehydration of coconut slices, the coconut slices after pre treatment, partially dehydrated

    in salt solution and then osmotic dehydrated coconut slices were subjected to hot air drying in tray dryer at different

    temperature such as 50, 60 and 70 0 c. Moisture loss was measured using digital balance and recorded each 5 minute

    with an accuracy of +0.001 g. Air drying was continued until the constant weight was obtained. The experiments were

    conducted with 3 replicates and average values were taken.

    Modelling of the thin layer drying curves

    The experimental values obtained for without treatment of osmotic dehydration and osmotic dehydration of coconut slices in salt solution were fitted to eight thin layer drying models and listed in Table 1. The eight thin layer

    drying models were investigated to find the most suitable one. In these models, MR represent the dimensionless

    Moisture Ratio namely MR = (Mt Me)/(M0 Me), where Mt is the moisture content at any time t, M0 is the initial

    moisture content and Me is the equilibrium moisture content. In these models, the moisture ratio was simplified to

    Mt/M0 instead of MR= (Mt Me)/(M0 Me) as the value of Me is relatively small compared to Mt or M0 (Pala et

    al.,1996) ;( Doymaz. I .2004).

    In this present study, the non linear regression analysis was performed using the software MAT LAB 7.0.

    The statistical parameters such as correlation coefficient (R2) were one of the primary criteria to select the best model.

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    Other statistical parameters such as Chi- squared (2) and the root mean square error (RMSE) were used to determine

    the quality of the fit. The fit showing the higher R2, the lowest 2 and RMSE was considered as the suitable model.

    (Demir, V et al.,2004); (Erenturk, S et al.,2004); (angavhane, D. R et al.,1999); ( Togrul, I. T., & Pehlivan, D. 2002).

    The 2 and RMSE values were evaluated as,

    (1)

    RMSE = (, ,)

    (2)

    Where MRexp is the ith experimentally observed moisture ratio, MRpred is the ith predicted moisture ratio, N is the number of observations and z is the number of constants in models.

    Calculation of Effective diffusivity and Activation energy

    Ficks diffusion equation (Crank, 1975) was used to describe the drying characteristics in the falling rate

    period. The Eq.(3) could be used for various regularly bodies such as rectangular ,cylindrical and spherical product

    and form of equation (3) can be applicable for particles with slab geometry by assuming uniform initial moisture

    distribution and for long drying time.

    = () exp () (3) The Eq( 3) can be further simplified to only the first term of the series and can be written as Eq.(4).

    =

    exp

    (4)

    where Deff is the effective moisture diffusivity (m2/s); L is the half thickness of slab (m). then Eq.(4) can be written in logarithmic form as follows .

    =

    t (5)

    The effective moisture diffusivity (Deff ) were determined by plotting Experimental drying data in terms of ln MR versus drying time(t) in eq (5).

    Calculation of activation energy The effective moisture diffusivity could be related with temperature by simple Arrhenius equation as given below (Lopez, A et al .,2000); (Carbonell, J.Vet al .,1986).

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    = (6) Where D0 is the constant equivalent to the diffusivity at infinitely high temperature (m2/s), Ea is the activation energy

    (kJ/mol), R is the universal gas constant (8.314 J/ (mol K) and T is the absolute temperature. The activation energy

    and the constant (D0) could be determined by linearization of equation (6) and by plotting ln(Deff) versus 1/T Eq. (7).

    Results and Discussion The coconut slices (100 g) were dried in the tray dryer with thickness of about 5 mm. The initial average moisture content of the coconut slice was about 123.713 % (Db) for without treatment of osmotic dehydration of

    coconut slices. The final moisture content obtained for without treatment of osmotic dehydration of coconut slices

    was about 4.453, 4.453 and 4.392 % on Dry basis at 50, 60 and 70 C respectively and shown in Fig (1). The drying

    time required for without treatment of osmotic dehydration of coconut slices to reach the equilibrium moisture

    content was found to be 195, 155 and 130 minutes at 50, 60 and 70 C respectively. The moisture ratio versus drying

    time at three different drying temperatures such as 50, 60 and 70 0 c were shown in Fig. (2). The drying time was

    decreased with increase in drying temperature to reach the equilibrium moisture content of the coconut slices for

    without treatment of osmotic dehydration of coconut slices, it may be due to increase in water vapour pressure within

    the coconut slices. Obviously, increasing drying temperature speeds up the drying process and hence shortens the

    drying time.

    The drying time required for osmotic dehydrated coconut slices in salt solution to reach the equilibrium

    moisture content was fund to be 140, 120 and 95 minutes at 50, 60 and 70 C respectively. The final moisture content

    of osmotic dehydration of coconut slices in salt solution was found to be 5.057, 5.045 and 5.023 % on Dry basis for

    50, 60 and 70 C respectively and shown in Fig (4). In Fig (5), it implies that the moisture ratio versus drying time at

    three different drying temperatures such as 50, 60 and 70 0 c. For the osmotic dehydrated coconut slices, the drying

    time was decreased to approach the equilibrium moisture content with increase in drying temperature maybe due to an

    increase in vapour pressure of osmotic solution within the coconut slices. Drying of coconut slices for both without

    treatment of osmotic dehydration of coconut slices and osmotic dehydrated coconut slices in salt solution occurred in

    falling rate period and due to rapid removal of moisture. There is no constant rate period was observed on entire

    drying process .Similar findings have been reported by many researchers for the drying of apricots (Doymaz., 2004)

    and drying of red chillies (Chandy et al., 1992).

    Further it can be observed that the drying air temperature has an important effect on the drying rate and the total drying process was found to be occurred in falling rate period only. Therefore diffusion governed for drying

    behaviour of coconut slices. To remove the first half of moisture at 50, 60 and 70 C, it took about approximately 40,

    27 and 20 minutes for without treatment of osmotic dehydration of coconut slices. Similarly, for osmotic dehydration

    of coconut slices, it took about approximately 33, 29 and 23 minutes respectively. To remove moisture further it

    took longer time due to slower diffusion. The rate of migration of moisture from the inner surface to outer surface

    decreases and hence lowers the drying rate. It may be due to the internal mass transfer resistance, which control the

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    drying time and hence the falling drying rate period was dominate in entire drying process. When compared without

    treatment of coconut slices and osmotic dehydrated coconut slices, the drying time required to reach the equilibrium

    moisture content was less in osmotic treated coconut slices and shown in fig (2 & 5)

    Fitting of drying models Eight thin layer drying models were fitted to the experimental data of moisture ratio of coconut slices at three

    different drying temperatures and fitted thin layer models were given in Table (1). Parameter values of R2, 2 and

    RMSE and the drying model coefficients were listed in Table (2-7). It is assumed that the model which has highest R2

    and the lowest 2 and RMSE could be considered as the best fit. According to these criteria, the Midilli model was

    found to be the best one in all cases. The predicted data of moisture ratio for drying coconut slices for both without

    treatment of osmotic dehydration of coconut slices and for osmotic dehydration of coconut slices in salt solution were

    shown in Fig (3&6).It may be observed from the figure(2,3) and (5,6) that the agreement between experimental

    values and predicted values of this Midilli model was found to be excellent.

    Determination of Effective Moisture Diffusivity The effective diffusivity for without treatment of osmotic dehydration and osmotic dehydration of coconut

    slices at different drying temperatures was evaluated by plotting ln(MR) versus time and shown in Fig (7- 12) and

    data were presented in Table( 8-9). The values of effective diffusivity varied from 6.296739x10-10 to 1.035369x10-09

    m2 /s for without treatment of osmotic dehydration and for osmotic dehydration of coconut slices were 8.029399x10-

    10 to 1.225539x10-09 m2/s and it could be obviously found that effective diffusivity increased with increase in drying

    temperature.

    Determination of Activation Energy

    The logarithm of Deff as a function of the reciprocal of drying temperature was plotted in Fig (13&14). The

    results showed a linear relationship between ln(Deff) versus 1/T showing an Arrhenius type relationship. The R2 for

    the regression was 0.9901 for without treatment of osmotic dehydration of coconut slices and osmotic dehydration of

    coconut slices was 0.9855.Diffusivity constant ( D0 ) for without treatment of osmotic dehydration of coconut slices

    and osmotic dehydration of coconut slices were found to be 3.2908 10-6 m2/s and 1.10344 10-6 m2/s. The activation

    energy for without treatment of osmotic dehydration of coconut slices and osmotic dehydration of coconut slices were

    evaluated as 22.963kJ/gmol and 19.454 kJ/gmol. Similar results were obtained for apple pomace 24.512 KJ/mol for

    overall falling rate period was reported by wang et al. (2006).

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    Fig-1: Thin layer drying curves for without treatment of osmotic dehydration of coconut slices at different

    Temperatures.

    Fig 2: Experimental values of Moisture ratio versus drying time of coconut slices (without treatment of osmotic

    dehydration) at different temperatures.

    0.0

    0.2

    0.4

    0.6

    0.8

    1.0

    1.2

    1.4

    0 50 100 150 200 250

    Moi

    stur

    e co

    nten

    t (g

    Wat

    er/g

    Dry

    solid

    Drying Time (Min)

    Moisture content (g Water/g Dry Solid) vs Drying Time (Min)

    Temperature 70 degree celsius

    Temperature 60 degree celsius

    Temperature 50 degree celsius

    0.0

    0.2

    0.4

    0.6

    0.8

    1.0

    1.2

    0 50 100 150 200 250

    Moi

    stur

    e ra

    tio (M

    /M0)

    Drying time (min)

    Moisture ratio(M/M0) VS Drying time (min)

    Temperature 70 degree celsius

    Temperature 60 degree celsius

    Temperature 50 degree celsius

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    Fig 3: Predicted values of Moisture ratio versus drying time of coconut slices (without treatment of osmotic

    dehydration) at different temperatures

    Fig-4: Thin layer drying curves for osmotic dehydration of coconut slices in salt solution at different Temperatures.

    0

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    0 50 100 150 200 250

    Moi

    stur

    e Ra

    tio (M

    /M0)

    Drying Time (Min)

    Moisture ratio (M/M0) vs Drying Time (Min)

    Predicted values at 70 degree celsius

    Predicted values at 60 degree celsius

    Predicted values at 50 degree celsius

    00.10.20.30.40.50.60.70.80.9

    0 50 100 150

    Moi

    stur

    e co

    nten

    t (g

    Wat

    er/g

    Dry

    Sol

    id)

    Drying Time (Min)

    Moisture content (g Water/g Dry Solid) vs Drying Time (Min)

    Temperature 70 degree celsius

    Temperature 60 degree celsius

    Temperature 50 degree celsius

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    Fig 5: Experimental values of Moisture ratio versus drying time of coconut slices (treated with osmotic dehydration

    in salt solution) at different temperatures.

    Fig 6: Predicted values of Moisture ratio versus drying time of coconut slices (treated with osmotic dehydration in

    salt solution) at different temperatures.

    0

    0.2

    0.4

    0.6

    0.8

    1

    1.2

    0 50 100 150

    Moi

    stur

    e Ra

    tio (M

    /M0)

    Time (Min)

    Moisture Ratio (M/M0) vs Time (Min)

    temperature 70 degree celsius

    temperature 60 degree celsius

    temperature 50 degree celsius

    00.20.40.60.8

    11.2

    0 50 100 150Moi

    stur

    e Ra

    tio (M

    /M0)

    Drying Time (Min)

    Moisture Ratio(M/M0) vs Drying Time (Min)

    Predicted values at 70 degree celsius

    Predicted values at 60 degree celsius

    Predicted values at 50 degree celsius

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    Fig-7: Logarthemic Moisture ratio vs Drying Time at 50 0 c temperature (without treatment of osmotic dehydration)

    Fig-8: Logarthemic Moisture ratio vs Drying Time at 60 0 c temperature (without treatment of osmotic dehydration)

    y = -0.0149x - 0.209R = 0.9768

    -3.5

    -3

    -2.5

    -2

    -1.5

    -1

    -0.5

    00 50 100 150 200 250

    ln(M

    R)

    Drying Time (Min)ln (MR) vs Drying Time(Min)

    temperature 50 degree celsius

    Linear (temperature 50 degree celsius)

    y = -0.0201x - 0.209R = 0.9921

    -3.5

    -3

    -2.5

    -2

    -1.5

    -1

    -0.5

    00 50 100 150 200

    ln(M

    R)

    Drying time (Min)ln (MR) vs Drying time (Min)

    temperature 60 degree celsius

    Linear (temperature 60 degree celsius)

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    Fig-9: Logarthemic Moisture ratio vs Drying Time at 70 0 c temperature (without treatment of osmotic dehydration)

    Fig-10: Logarthemic Moisture ratio vs Drying Time at 50 0 c temperature ( treatment with osmotic dehydration )

    y = -0.0245x - 0.209R = 0.9958

    -4

    -3.5

    -3

    -2.5

    -2

    -1.5

    -1

    -0.5

    00 50 100 150

    ln(M

    R)

    Drying Time (Min)ln( MR) vs Drying time(Min)

    temperature 70 degree celsius

    Linear (temperature 70 degree celsius)

    y = -0.0190x - 0.2090R = 0.9868

    -3.5

    -3

    -2.5

    -2

    -1.5

    -1

    -0.5

    00 50 100 150

    ln(M

    R)

    Drying Time (Min)ln(MR) vs Drying Time (Min)

    Temperature 50 degree celsius

    Linear (Temperature 50 degree celsius)

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    Fig-11: Logarthemic Moisture ratio vs Drying Time at 60 0 c temperature ( treatment with osmotic dehydration )

    Fig-12: Logarthemic Moisture ratio vs Drying Time at 70 0 c temperature ( treatment with osmotic dehydration )

    y = -0.0226x - 0.209R = 0.9847

    -3.5

    -3

    -2.5

    -2

    -1.5

    -1

    -0.5

    00 50 100 150

    ln(M

    R)

    Drying Time(Min)ln(MR) vs Drying Time (Min)

    Temperature 60 degree celsius

    Linear (Temperature 60 degree celsius)

    y = -0.0290x - 0.2090R = 0.9809

    -3.5

    -3.0

    -2.5

    -2.0

    -1.5

    -1.0

    -0.5

    0.00 20 40 60 80 100

    ln(M

    R)

    Drying Time (Min)ln(MR) vs Drying Time (Min)

    Temperature 70 degree celsius

    Linear (Temperature 70 degree celsius)

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    Fig -13 : Arrhenious type relationship between effective diffusivity and drying temperature ( without treatment of osmotic dehydration)

    Fig -14 : Arrhenious type relationship between effective diffusivity and drying temperature ( treatment with osmotic

    dehydration )

    y = -2762.1x - 12.624R = 0.9901

    -21.3

    -21.2

    -21.1

    -21

    -20.9

    -20.8

    -20.7

    -20.60.0029 0.00295 0.003 0.00305 0.0031 0.00315

    Ln(D

    eff)

    1/T (1/K)Ln(Deff) vs 1/T (1/K)

    y = -2339.6x - 13.717R = 0.9855

    -21-20.95

    -20.9-20.85

    -20.8-20.75

    -20.7-20.65

    -20.6-20.55

    -20.5-20.45

    0.0029 0.00295 0.003 0.00305 0.0031 0.00315

    Ln(D

    eff)

    1/T (1/K)Ln(Deff) vs 1/T(1/K)

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    Table-1: Thin layer drying models

    Table-2:Drying models for without treatment of osmotic dehydration of coconut slices were dried at 50 C in tray drier

    Model a b C d R2 Chi - sq RMSE

    Newton 0.01657

    0.9945 0.000385 0.01939

    Henderson 0.9626 0.01592 0.9963 0.000271 0.01605

    Page 0.02404 0.9134 0.9977 0.000168 0.01266

    Wang & Singh -0.01214 3.892e-005 0.9562 0.003206 0.05519 Modified Page model 0.3937 0.0421

    0.9945 0.000406 0.01965

    Logarthemic model 0.9591 0.01629

    0.00735

    0.9964 0.000280 0.01612

    Two term model 0.8911 0.01487 0.1176

    0.08491

    0.9983 0.000141 0.01127

    Midilli model 1.016 0.03329

    0.8239 -

    0.0002463 0.999 0.000008 0.00849

    Table-3: Drying models for without treatment of osmotic dehydration of coconut slices were dried at 60 C in tray drier

    Model a b C d R2 Chi - sq RMSE

    Newton 0.02304

    0.9965 0.000194 0.01372

    Henderson 0.9548 0.02196 0.9973 0.000205 0.01389

    Page 0.03432 0.9001 0.9988 0.000089 0.009138

    Wang & Singh -0.01626 6.827E-005 0.9496 0.003799 0.05968 Modified Page model 0.1745 0.132

    0.9948 0.000395 0.01925

    Logarthemic model 0.9494 0.02286

    0.01218 0.9976 0.000194 0.01327

    Two term model 0.8977 0.02073 0.1036

    0.1602

    0.9993 0.000056 0.007037

    Midilli model 0.9999 0.03906 0.8576 -0.0001665 0.9994 0.000052 0.006809

    Model name Equation Reference

    Newton MR = exp(-kt) Ayensu, A. (1997).

    Henderson MR = aexp(-kt) Rahman et al(1998)

    Page MR = exp(-ktn) Doymaz, I. (2004b)

    Wang & Singh MR = 1+at + bt2 Panchariya et al(2002)

    Modified Page model MR = exp(-kt)n Overhults et al .(1973)

    Logarthemic model MR = a exp(-kt)+c Lahsasni et al (2004)

    Two term model MR = a exp(-k0 t)+b exp(-k 1t) Madamba et al(1996)

    Midilli model MR = a exp(-ktn)+bt Ertekin, C., & Yaldiz, O. (2004).

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    Table-4: Drying models for without treatment of osmotic dehydration of coconut slices were dried at 70 C in tray drier

    Model a b c d R2 Chi - sq RMSE

    Newton 0.02964

    0.9906 0.000664 0.02529

    Henderson 0.9487 0.01862 0.9994 0.000044 0.006425

    Page 0.05028 0.8586 0.9989 0.000081 0.008667

    Wang & Singh -0.02017 0.02802 0.9938 0.000470 0.02087 Modified Page model 0.1732 0.1711

    0.9906 0.000718 0.02579

    Logarthemic model 0.9364 0.03153

    0.0328

    0.9963 0.000307 0.01654

    Two term model 0.7584 0.02342 0.2476

    0.09485

    0.9994 0.000050 0.006558

    Midilli model 1.009 0.05486 0.8336 -7.506E-

    005 0.9991 0.000085 0.008523

    Table-5: Drying models for osmotic dehydrated coconut slices in salt solution were dried at 50 C in tray drier

    Model a b c d R2 Chi - sq RMSE

    Newton 0.02148

    0.9992 0.000060 0.007613

    Henderson 0.9853 0.02115 0.9995 0.000040 0.006136

    Page 0.0242 0.9703 0.9995 0.000037 0.005912

    Wang & Singh -0.01634 7.158e-005 0.9824 0.001440 0.03662

    Modified Page

    model 0.4315 0.04977

    0.9992 0.000064 0.007753

    Logarthemic

    model 0.9839 0.0213

    0.002498

    0.9995 0.000043 0.006211

    Two term model 0.9732 0.02089

    0.02723

    0.2697

    0.9997 0.000029 0.00505

    Midilli model 0.9955 0.02455

    0.962 -5.981E-

    005 0.9996 0.000036 0.005615

    Table-6: Drying models for osmotic dehydrated coconut slices in salt solution were dried at 60 C in tray drier.

    Model a b c d R2 Chi - sq RMSE

    Newton 0.02556

    0.9987 0.000102 0.009923

    Henderson 1.004 0.02566 0.9988 0.000110 0.01006

    Page 0.02396 1.017 0.9988 0.000103 0.009751

    Wang & Singh -0.01941 0.0001003 0.989 0.000982 0.03006 Modified Page model 0.8115 0.0315

    0.9987 0.000111 0.01014

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    Logarthemic model 1.002 0.02585

    0.002571

    0.9988 0.000119 0.01026

    Two term model 1.038 0.02633 -

    0.04428 0.08749

    0.9989 0.000116 0.009906

    Midilli model 0.9878 0.01937 1.079 0.00019

    19 0.9992 0.000082 0.008322 Table-7: Drying models for osmotic dehydrated coconut slices in salt solution were dried at 70 C in tray drier

    Model a b C d R2 Chi - sq RMSE Newton 0.03261

    0.9968 0.000284 0.01644

    Henderson 1.023 0.03339 0.9975 0.000248 0.01494 Page 0.02568 1.067 0.9981 0.000190 0.01308 Wang & Singh -0.0247 0.0001616

    0.9922 0.000786 0.02661

    Modified Page model 0.7327 0.0445

    0.9968 0.000316 0.01689

    Logarthemic model 1.023 0.03351

    0.00131

    0.9975 0.000277 0.01536

    Two term model 1.004 0.03307

    0.01083

    0.03291

    0.9974 0.000326 0.01616

    Midilli model 0.9932 0.01942 1.162 0.0004164 0.9995 0.000065 0.007258 Table 8: Effective diffusivities of coconut slices (without treatment of osmotic dehydration) at different temperatures

    s.no Temperature (0 C)

    Deff (m2/s)

    1 50 6.296739E-10 2

    60 8.494259E-10

    3 70 1.035369E-09 Table 9: Effective diffusivities of coconut slices ( treatment with osmotic dehydration) at different temperatures

    s.no Temperature(0 c)

    Deff (m2 /s)

    1 50 8.029399E-10

    2 60 9.550759E-10

    3 70 1.225539E-09

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    Conclusion

    The Midilli model was the best one to describe drying process of the coconut slices for both osmotic dehydrated and without osmotic dehydration of coconut slices . The effective diffusivities increased with the drying temperature and varied from 6.296739x10-10 to 1.035369x10-09 m2/s for without treatment of osmotic dehydration and for osmotic dehydrated coconut slices in salt solution , it was found to be varied from 8.029399x10-10 to 1.225539x10-09 m2/s . The temperature dependence of diffusivity follows Arrhenius type of relationship. The diffusivity constant D0 was estimated as 3.2908 10-6 m2/s for without treatment of osmotic dehydration and osmotic dehydrated coconut slices in salt solution were found to be and 1.10344 10-6 m2/s. The activation energy (Ea) for without treatment of osmotic dehydration of coconut slices and osmotic dehydrated coconut slices in salt solution were evaluated as 22.963 kJ/gmol and 19.454 kJ/gmol. REFERENCES [1] Akpinar, E. K., Midilli, A., & Bicer, Y. (2003). Single layer drying behaviour of potato slices in a convective

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