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

Krzysztof Górnicki, Radosław Winiczenko and Agnieszka Kaleta
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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

Energies, 2019, vol. 12, issue 14, 1-22

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.

Keywords: Biot number; genetic algorithms; drying (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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