Assessing Significant Phenomena in 1D Linear Perturbation Multiphase Flows

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.