Application of genetic algorithm for determination of mass transfer coefficients

• Published in: Journal of crystal growth 2000-06, Vol.216 (1-4), p.475-482
• Main Authors: Şahin, Ömer, Sayan, Perviz, Nusret Bulutcu, A.
• Format: Article
• Language: English
• Subjects: Cross-disciplinary physics: materials science; rheology; Exact sciences and technology; Genetic algorithm; Growth from solutions; Mass transfer coefficient; Materials science; Methods of crystal growth; physics of crystal growth; Physics; Reaction rate order; Relative standard deviation; Surface reaction constant; Theory and models of crystal growth; physics of crystal growth, crystal morphology and orientation
• ISSN: 0022-0248; 1873-5002
• DOI: 10.1016/S0022-0248(00)00414-0

The mass transfer coefficient, kd, surface reaction constant, kr, and reaction rate order, r, have been calculated by applying the genetic algorithm analysis. This analysis provides the parameter estimations as new data are recorded and consequently yields the time variability of the parameters. In this study, the application of the genetic algorithm procedure is presented for determining the coefficients and their relative standard deviation. The relative standard deviation does not exceed 0.9% taking into account the crystal growth rate, Rg calculated from the equation Rg=kr(ΔC−Rg/kd)r and the one experimentally obtained and represented by the equation Rg=kg(ΔC)g, where kr is the rate constant for the surface reaction, kd is the mass transfer coefficient, r is the reaction order, kg is the overall crystal growth rate constant, ΔC is the supersaturation and g is the overall crystal growth rate order. This new proposed method is compared with the previous methods for the cases of growth of NiSO4 and CuSO4·5H2O crystals in a fluidized bed crystallizer.