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Heat and Mass Transfer

, Volume 49, Issue 11, pp 1595–1601 | Cite as

Applicability of moisture transfer parameters estimated by correlation between Biot number and lag factor (Bi–G correlation) for convective drying of eggplant slices

  • Xianxi LiuEmail author
  • Hongying Hou
  • Junruo Chen
Original

Abstract

Accurate values of the moisture transfer parameters are necessary to study heat and mass transfer, particularly for the efficient design of both process and equipment. However, these parameters obtained from empirical equations or analytical solutions of Fick’s second diffusion law are generally different from each other. In order to make simulation more accurate and closer to the fact, it is necessary to perform theoretical analysis and test of available empirical equations in literatures. In this work, such efforts were made: firstly, moisture transfer parameters were evaluated by Bi–G correlation; then, the obtained parameters were substituted to Fick’s second law of diffusion model, and the model was numerically calculated with convective boundary condition. The results show that although the exponential equation fits the experimental data well, the data predicted from Fick’s second law deviate far from the experimental data. This implicates that Bi–G correlation need be further improved to obtain better accurate moisture transfer parameters.

Keywords

Transfer Coefficient Root Mean Square Error Biot Number Moisture Transfer Moisture Diffusivity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of symbols

Bi

Biot number (–)

D

Effective moisture diffusion coefficient (m2/s)

G

Lag factor (–)

k

Moisture transfer coefficient (m/s)

\(\overline{M}\)

Average moisture content (kg water/kg dry matter)

M

Local moisture content (kg water/kg dry matter)

R2

Coefficient of determination (–)

RMSE

Root mean square error (–)

S

Drying coefficient (1/s)

SSE

Sum of square error (–)

Greek symbols

μ1

Root of solution to the D

Φ

Dimensionless moisture content (–)

Subscripts

e

Equilibrium

exp

Experimental

i

Initial or data serial number

pred

Predicted

Notes

Acknowledgments

The authors would like to acknowledge the financial supports of Natural Science Foundation of Yunnan Province of China (2011FZ064) and Major Program of Educational Commission of Yunnan Province of China (ZD2010002).

References

  1. 1.
    Silva WP, Farias VS, Neves GA, Lima AG (2012) Modeling of water transport in roof tiles by removal of moisture at isothermal conditions. Heat Mass Transf 48(5):809–821CrossRefGoogle Scholar
  2. 2.
    Saxilik K, Keskin R, Elicin AK (2006) Mathematical modeling of solar tunnel drying of thin layer organic tomato. J Food Eng 73(3):231–238CrossRefGoogle Scholar
  3. 3.
    Srinivasakannan C, Balasubramaniam N (2006) An experimental and modeling investigation on drying of ragi (Eleusine corocana) in fluidized bed. Dry Technol 24(12):1683–1689CrossRefGoogle Scholar
  4. 4.
    Bal LM, Kar A, Satya S, Naik SN (2010) Drying kinetics and effective moisture diffusivity of bamboo shoot slices undergoing microwave drying. Int J Food Sci Technol 45(11):2321–2328CrossRefGoogle Scholar
  5. 5.
    Wang Z, Sun J, Chen F, Liao X, Hu X (2007) Mathematical modeling on thin layer microwave drying of apple pomace with and without hot air pre-drying. J Food Eng 80(2):536–544CrossRefGoogle Scholar
  6. 6.
    Hamdami N, Monteau JY, Bail AL (2006) Moisture diffusivity and water activity of part-baked bread at above and sub-freezing temperatures. Int J Food Sci Technol 41(1):33–44CrossRefGoogle Scholar
  7. 7.
    Zaknoune A, Glouannec P, Salagnac P (2012) Estimation of moisture transport coefficients in porous materials using experimental drying kinetics. Heat Mass Transf 48(2):205–215CrossRefGoogle Scholar
  8. 8.
    Garbalińska H (2004) Application of the logarithmic procedure to absorption measurements of mass diffusivity for cement mortars. Heat Mass Transf 40(12):963–972CrossRefGoogle Scholar
  9. 9.
    Delgado JMPQ, Ramos NMM, Freitas VP (2011) Application of hybrid and moment methods to the measurement of moisture diffusion coefficients of building materials. Heat Mass Transf 47(11):1491–1498CrossRefGoogle Scholar
  10. 10.
    Agoua E, Zohoun S, Perré P (2001) A double climatic chamber used to measure the diffusion coefficient of water in wood in unsteady-state conditions: determination of the best fitting method by numerical simulation. Int J Heat Mass Transf 44(19):3731–3744CrossRefGoogle Scholar
  11. 11.
    Min J, Hu T, Song Y (2011) Experimental and numerical investigations of moisture permeation through membranes. J Memb Sci 367(1–2):174–181CrossRefGoogle Scholar
  12. 12.
    Zhang L (2006) Evaluation of moisture diffusivity in hydrophilic polymer membranes: a new approach. J Memb Sci 269(1–2):75–83CrossRefGoogle Scholar
  13. 13.
    Evin D (2011) Microwave drying and moisture diffusivity of white mulberry: experimental and mathematical modeling. J Mech Sci Technol 25(10):2711–2718CrossRefGoogle Scholar
  14. 14.
    Dincer I, Hussain MM (2002) Development of a new Bi–Di correlation for solids drying. Int J Heat Mass Transf 45(15):3065–3069CrossRefGoogle Scholar
  15. 15.
    Dincer I, Hussain MM (2004) Development of a new Biot number and lag factor correlation for drying applications. Int J Heat Mass Transf 47(4):653–658CrossRefGoogle Scholar
  16. 16.
    Dincer I, Hussain MM, Sahin AZ, Yilbas BS (2002) Development of a new moisture transfer (Bi–Re) correlation for food drying applications. Int J Heat Mass Transf 45(8):1749–1755CrossRefGoogle Scholar
  17. 17.
    Dincer I, Hussain MM, Yilbas BS, Sahin AZ (2002) Development of a new drying correlation for practical applications. Int J Energy Res 26(3):245–251CrossRefGoogle Scholar
  18. 18.
    Corzo O, Bracho N, Alvarez C, Rivas V, Rojas Y (2008) Determining the moisture transfer parameters during the air-drying of mango slices using Biot–Dincer numbers correlation. J Food Process Eng 31(6):853–873CrossRefGoogle Scholar
  19. 19.
    Mrkić V, Ukrainczyk M, Tripalo B (2007) Applicability of moisture transfer Bi–Di correlation for convective drying of broccoli. J Food Eng 79(2):640–646CrossRefGoogle Scholar
  20. 20.
    Liu X, Chen J, Hou H (2012) Theoretical analysis of water diffusivity estimated by Crank’s equation. Chem Eng Process 55(5):24–28CrossRefGoogle Scholar
  21. 21.
    Liu X, Chen J, Liu M, Liu G, Zhang S (2012) Theoretical analysis of convective drying process of carrot: critical moisture mass ratio. Chem Eng 40(9):34–37, 47Google Scholar
  22. 22.
    Doymaz İ, Göl E (2009) Convective drying characteristics of eggplant slices. J Food Process Eng 34(4):1234–1252CrossRefGoogle Scholar
  23. 23.
    Bablis S, Belessiotis V (2004) Influence of the drying conditions on the drying constants and moisture diffusivity during the thin-layer drying of figs. J Food Eng 65(3):449–458CrossRefGoogle Scholar
  24. 24.
    Krokida M, Foundoukidis E, Maroulis Z (2004) Drying constant: literature data condition for foodstuffs. J Food Eng 61(3):321–330CrossRefGoogle Scholar
  25. 25.
    Prakash S, Jha S, Datta N (2004) Performance evaluation of blanched carrots dried by three different driers. J Food Eng 62(3):305–313CrossRefGoogle Scholar
  26. 26.
    Zogzas N, Maroulis Z, Marinos-Kouris D (1996) Moisture diffusivity data compilation in foodstuffs. Dry Technol 14(10):2225–2253CrossRefGoogle Scholar
  27. 27.
    Jain D (2006) Determination of convective heat and mass transfer coefficients for solar drying of fish. Biosyst Eng 94(3):429–435CrossRefGoogle Scholar
  28. 28.
    Defraeye T, Blocken B, Carmeliet J (2012) Analysis of convective heat and mass transfer coefficients for convective drying of a porous flat plate by conjugate modeling. Int J Heat Mass Transf 55(1–3):112–124zbMATHGoogle Scholar
  29. 29.
    Lewis WK (1921) The rate of drying of solid materials. Ind Eng Chem 13(5):427–432CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Faculty of Mechanical and Electrical EngineeringKunming University of Science and TechnologyKunmingChina
  2. 2.Faculty of Material Science and EngineeringKunming University of Science and TechnologyKunmingChina

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