Abstract

MEIER, H. F.; NORILER, D.  and  BERTOLOI, S. L.. A solution for a heat transfer model in a moving bed through the self-adjoint operator method. Lat. Am. appl. res. [online]. 2009, vol.39, n.4, pp.327-336. ISSN 0327-0793.

Usually, heat and/or mass transfer models with time dependence, in a fixed, moving or cross-flow beds, are solved analytically by the use of the Laplace transform method. When the determination of the character of the poles is not on easy problem, this method presents the transform inversion using the residue theorem as the major application difficulty. In this work, an alternative method is discussed which casts the system of equations into a matrix problem of the Sturm-Liouville type. As an example, the solution of a heat transfer model in a moving bed is presented. The advantage this approach is a direct solution of the temperature profiles in the particle and in the bulk fluid near the solid-fluid interface by using a spectral expansion in terms of the self-adjoint matrix operator involved, with guaranteed convergency, and it can be used easily as an interpolation scheme to solve numerically advection/diffusion problems.

Keywords : Heat Transfer; Moving Bed; Multiphase Reactors; Analytical Solution; Selfadjoint.

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