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Estimation of the Biot Number Using Genetic Algorithms: Application for the Drying Process

Author

Listed:
  • Krzysztof Górnicki

    (Department of Fundamental Engineering, Warsaw University of Life Sciences, Nowoursynowska 164 St., 02-787 Warsaw, Poland)

  • Radosław Winiczenko

    (Department of Fundamental Engineering, Warsaw University of Life Sciences, Nowoursynowska 164 St., 02-787 Warsaw, Poland)

  • Agnieszka Kaleta

    (Department of Fundamental Engineering, Warsaw University of Life Sciences, Nowoursynowska 164 St., 02-787 Warsaw, Poland)

Abstract

The Biot number informs researchers about the controlling mechanisms employed for heat or mass transfer during the considered process. The mass transfer coefficients (and heat transfer coefficients) are usually determined experimentally based on direct measurements of mass (heat) fluxes or correlation equations. This paper presents the method of Biot number estimation. For estimation of the Biot number in the drying process, the multi-objective genetic algorithm (MOGA) was developed. The simultaneous minimization of mean absolute error (MAE) and root mean square error (RMSE) and the maximization of the coefficient of determination R 2 between the drying model and experimental data were considered. The Biot number can be calculated from the following equations: Bi = 0.8193exp(−6.4951 T −1 ) (and moisture diffusion coefficient from D / s 2 = 0.00704exp(−2.54 T −1 )) (RMSE = 0.0672, MAE = 0.0535, R 2 = 0.98) or Bi = 1/0.1746log(1193847T) ( D / s 2 = 0.0075exp(−6 T −1 )) (RMSE = 0.0757, MAE = 0.0604, R 2 = 0.98). The conducted validation gave good results.

Suggested Citation

  • Krzysztof Górnicki & Radosław Winiczenko & Agnieszka Kaleta, 2019. "Estimation of the Biot Number Using Genetic Algorithms: Application for the Drying Process," Energies, MDPI, vol. 12(14), pages 1-22, July.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:14:p:2822-:d:250597
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    Citations

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    Cited by:

    1. Jaroslaw Krzywanski, 2022. "Advanced AI Applications in Energy and Environmental Engineering Systems," Energies, MDPI, vol. 15(15), pages 1-3, August.
    2. Weronika Tulej & Szymon Głowacki & Andrzej Bryś & Mariusz Sojak & Piotr Wichowski & Krzysztof Górnicki, 2021. "Research on Determination of Water Diffusion Coefficient in Single Particles of Wood Biomass Dried Using Convective Drying Method," Energies, MDPI, vol. 14(4), pages 1-12, February.

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