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A liquid diffusion model for thin-layer drying of rough rice

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Abstract

In this study, the drying behavior of single-layer rough rice with a moisture content of between 22 and 24% on the dry basis was simulated by means of a liquid diffusion model, based on a prolate spheroid geometry. For this purpose, the solution of liquid diffusion equation was fitted to the experimental moisture ratios for drying air temperatures between 40 and 60 °C and velocity 1.5 m s−1. In order to make a comparison, the predictions of liquid diffusion equations for a spherical and finite cylindrical geometry were also fitted to the experimental results. Modeling was performed by selecting the diffusion coefficients in diffusion equations in such a manner as to minimize the sum of the squared differences between the experimental results and the theoretical predictions. It was found that the liquid diffusion model, based on a prolate spheroid geometry, explains single-layer drying behavior of rough rice well. It was also found that the model, based on a prolate spheroid geometry, has better agreement with the experimental results than the other geometries.

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Abbreviations

B :

drying constant (K)

C :

constant

CC:

correlation coefficient

c :

dimensionless volumetric moisture concentration

D :

diffusion coefficient (m2 h−1)

E :

sum of the squared differences

E s :

standard deviation

f :

element of the set base function

J 0 :

0th order Bessel function

L :

half-length of a rough rice grain (mm)

m :

moisture content on the dry basis

R :

radius of a rough rice grain (mm)

r :

radial coordinate for the grain (mm)

S :

surface area (mm2)

T :

temperature (K)

t :

time (s)

V :

volume (mm3)

z :

axial coordinate along the grain (mm)

∇2 :

Laplacian operator

α :

roots of zero-order Bessel function

β :

roots of cosine function

χ 2 :

mean square deviation

γ :

eigen value

l :

dimensionless half-length of rough rice grain

ψ :

eigen functions

*:

dimensional quantities

e:

equilibrium condition

o:

initial condition

s:

surface condition

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Author information

Authors and Affiliations

  1. Mechanical Engineering Department, Trakya University, 22180, Edirne, Turkey

    Oktay Hacihafizoğlu, Ahmet Cihan, Kamil Kahveci & Antonio G. B. de Lima

  2. Mechanical Engineering Department, University of Federal de Campina Grande, UFCG, Cx. P. 10069, CEP 58109-970, Campina Grande-PB, Brazil

    Antonio G. B. de Lima

Authors
  1. Oktay Hacihafizoğlu
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  2. Ahmet Cihan
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  3. Kamil Kahveci
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  4. Antonio G. B. de Lima
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Correspondence to Oktay Hacihafizoğlu.

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Hacihafizoğlu, O., Cihan, A., Kahveci, K. et al. A liquid diffusion model for thin-layer drying of rough rice. Eur Food Res Technol 226, 787–793 (2008). https://doi.org/10.1007/s00217-007-0593-0

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  • DOI: https://doi.org/10.1007/s00217-007-0593-0

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