Using of Semi-Empirical Models and Fickas Second Low for Mathematical Modeling of Mass Transfer in Thin Layer Drying of Carrot Slice

1
Dr. Isa Hazbavi
Dr. Isa Hazbavi
2
Seyed Hashem Samadi
Seyed Hashem Samadi Ph.D.
3
Hamid khafajeh
Hamid khafajeh
1 Islamic Azad University

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Using of Semi-Empirical Models and Fickas Second Low for Mathematical Modeling of Mass Transfer in Thin Layer Drying of Carrot Slice Banner
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Drying behavior of carrot slices were studied at 200, 300, 400 and 500 W for constant sample thickness (5mm) in a microwave dryer. By increasing the microwave output powers (200-500 W), the drying time decreased from 17.5 to 9.5 min. The drying process took place in the falling rate period. Six mathematical models for describing the thinlayer drying behavior of carrot slices were investigated. The models were compared based on their coefficient of determination (R2), root mean square error (RMSE) and reduced chi-square (χ2) values between experimental and predicted moisture ratios. The results show that the Midilli model is the most appropriate model for drying behaviour of thin layer carrot slices. Moisture transfer from carrot slices was described by applying the Fick’s diffusion model, and effective moisture diffusion coefficients were calculated. A third order polynomial relationship was found to correlate the effective moisture diffusivity (D eff ) with moisture content. The effective moisture diffusivity increased with decrease in moisture content of carrot slices. Average effective moisture diffusivity increased from 6.33×10 -9 to 1.14×10 -8 m 2 /s with increasing the microwave power.

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No external funding was declared for this work.

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The authors declare no conflict of interest.

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Dr. Isa Hazbavi. 2013. \u201cUsing of Semi-Empirical Models and Fickas Second Low for Mathematical Modeling of Mass Transfer in Thin Layer Drying of Carrot Slice\u201d. Global Journal of Science Frontier Research - C: Biological Science GJSFR-C Volume 13 (GJSFR Volume 13 Issue C4): .

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GJSFR Volume 13 Issue C4
Pg. 19- 24
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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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June 29, 2013

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English

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Drying behavior of carrot slices were studied at 200, 300, 400 and 500 W for constant sample thickness (5mm) in a microwave dryer. By increasing the microwave output powers (200-500 W), the drying time decreased from 17.5 to 9.5 min. The drying process took place in the falling rate period. Six mathematical models for describing the thinlayer drying behavior of carrot slices were investigated. The models were compared based on their coefficient of determination (R2), root mean square error (RMSE) and reduced chi-square (χ2) values between experimental and predicted moisture ratios. The results show that the Midilli model is the most appropriate model for drying behaviour of thin layer carrot slices. Moisture transfer from carrot slices was described by applying the Fick’s diffusion model, and effective moisture diffusion coefficients were calculated. A third order polynomial relationship was found to correlate the effective moisture diffusivity (D eff ) with moisture content. The effective moisture diffusivity increased with decrease in moisture content of carrot slices. Average effective moisture diffusivity increased from 6.33×10 -9 to 1.14×10 -8 m 2 /s with increasing the microwave power.

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Using of Semi-Empirical Models and Fickas Second Low for Mathematical Modeling of Mass Transfer in Thin Layer Drying of Carrot Slice

Dr. Isa Hazbavi
Dr. Isa Hazbavi Islamic Azad University
Seyed Hashem Samadi
Seyed Hashem Samadi
Hamid khafajeh
Hamid khafajeh

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