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

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 * §

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§ Islamic Azad University

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

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Abstract

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.

References

16 Cites in Article

Reference Format

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dr. Isa Hazbavi. 2013. "Using of Semi-Empirical Models and Fickas Second Low for Mathematical Modeling of Mass Transfer in Thin Layer Drying of Carrot Slice". 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

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Carrot slices Drying microwave power Modeling moisture diffusivity

Classification

GJSFR-C Classification FOR Code: 100505

861401

Submission ReceivedJanuary 9, 2013
Peer Review Double Blind
Handling Editor
Accepted January 29, 2013
Published February 11, 2013

Version of record

v1.2

Issue date

June 29, 2013

Language

English

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Total Score: 132

Country: Iran

Subject: Global Journal of Science Frontier Research

Authors: Dr. Isa Hazbavi, Seyed Hashem Samadi, Hamid khafajeh (PhD/Dr. count: 1)

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