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Assessing Significant Phenomena in 1D Linear Perturbation Multiphase Flows

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Fluid Dynamics in Physics, Engineering and Environmental Applications

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Abstract

A procedure based on small perturbations linearization is developed for the assessment of relevant physical effects in fast fluidized beds. The fluid compressibility and wall interaction effects onto a main incompressible behavior are appreciated. A model by contributions is developed and the coefficients of all terms are evaluated in order to assess their significance. The process to get a lumped model is performed and the equivalence of lumped terms and variables under asymptotic conditions is developed. It is shown how wall effects are able to change a parabolic to a hyperbolic structure and how a third order waving structure collapses to a first order one onto a diffusive operator, under the limit of the incompressibility assumption.

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Acknowledgments

The authors highly acknowledge the Consejo Nacional de Ciencia y Tecnología (CONACyT), México, for financial support through Grant CB-2005-C01-50379-Y.

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Correspondence to Alberto Soria .

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Soria, A., Salinas-Rodríguez, E. (2013). Assessing Significant Phenomena in 1D Linear Perturbation Multiphase Flows. In: Klapp, J., Medina, A., Cros, A., Vargas, C. (eds) Fluid Dynamics in Physics, Engineering and Environmental Applications. Environmental Science and Engineering(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27723-8_6

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