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Migration of Species into a Particle Under Different Flow Conditions

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Computational Fluid Dynamics 2010

Abstract

Fractional derivatives constitute a wider generalization of Fickian models that allows describing more complex behaviors of diffusing species. In this work, the resolution of an anomalous transport model based on fractional derivatives is discussed. Least Squares Spectral Element Method [3] is used along with Gauss-Jacobi quadrature in order to improve the numerical convergence.

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References

  1. El-Sayed A.M.A., Behiry S.H., Raslan W.E.: A numerical solution of an intermediate fractional advection dispersion equation. Commun. Nonlinear Sci. Numer. Simul. 15, 1253–1258 (2010)

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  2. Fernandino, M., Dorao, C.A., Jakobsen, H.A.: Jacobi Galerkin spectral method for cylindrical and spherical geometries. Chem. Eng. Sci. 62 (23), 6777–6783 (2007)

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  3. Jiang, B.N.: The Least-Square Finite Element Method: Theory and Applications in Computational Fluid Dynamics and Electromagnetics. Springer-Verlag, Berlin (1998) ISBN 3-540-63934-9

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Correspondence to Alfredo R. Carella .

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© 2011 Springer-Verlag Berlin Heidelberg

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Carella, A.R., Dorao, C.A. (2011). Migration of Species into a Particle Under Different Flow Conditions. In: Kuzmin, A. (eds) Computational Fluid Dynamics 2010. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17884-9_112

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  • DOI: https://doi.org/10.1007/978-3-642-17884-9_112

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17883-2

  • Online ISBN: 978-3-642-17884-9

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