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    Analytical Solution of Population Balance Equation Involving Growth, Nucleation and Aggregation in Terms of Auxiliary Equation Method
    (Natural Sciences Publishing, 2015) Pınar, Zehra; Dutta, Abhishek; Beny, Guido; Ozis, Turgut
    The Auxiliary Equation Method (AEM) has been modified to obtain the solutions of a Population Balance Equation (PBE) involving particulate growth, nucleation and aggregation phenomena. In all the cases examined, the volume density distributions are accurately predicted by the travelling wave solutions of the complementary equation of the nonlinear partial integro-differential equation with distinctly chosen parameters. Being a flexible technique and a direct comparison for the existing analytical solutions, this study proves the potential of the proposed methodology. © 2015 NSP Natural Sciences Publishing Cor.
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    Solution of a Moving Boundary Problem for Soybean Hydration by Numerical Approximation
    (De Gruyter, 2020) Gulen, Seda; Ozis, Turgut
    Mass or heat transfer may cause volume variation, and the food hydration model is one of them that undergoes hydration (or drying) conveying volume change. In this paper, the numerical approximate solution based on an integral method has been presented for soybean hydration model. Trace of the moving boundary and unknown moisture content at the center of the grain have been determined. The obtained results are well matched with numerical solutions in the literature. © 2020 Walter de Gruyter GmbH, Berlin/Boston 2020.