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


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.


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


Biot number (–)


Effective moisture diffusion coefficient (m2/s)


Lag factor (–)


Moisture transfer coefficient (m/s)


Average moisture content (kg water/kg dry matter)


Local moisture content (kg water/kg dry matter)


Coefficient of determination (–)


Root mean square error (–)


Drying coefficient (1/s)


Sum of square error (–)

Greek symbols


Root of solution to the D


Dimensionless moisture content (–)







Initial or data serial number





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).


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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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