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ENCIT 2020
18th Brazilian Congress of Thermal Sciences and Engineering
CONVECTIVE-DIFFUSIVE EIGENVALUE PROBLEM FOR INTEGRAL TRANSFORM SOLUTION OF THE TRANSPORT OF A PASSIVE SCALAR QUANTITY
Submission Author:
Renato Machado Cotta , RJ
Co-Authors:
Kleber Marques Lisbôa, Diego Knupp, Renato Machado Cotta
Presenter: Kleber Marques Lisbôa
doi://10.26678/ABCM.ENCIT2020.CIT20-0292
Abstract
A coefficients transformation is presented that allows for rewriting convection-diffusion problems so that advective and diffusive terms are partially or fully merged into a generalized diffusion problem. The aim is to enhance the application of the Generalized Integral Transform Technique (GITT) in the hybrid numerical-analytical solution of transport of a passive scalar quantity, by offering an eigenfunction expansion base that partially incorporates the convective effects, for improved convergence rates of the proposed expansions. Transient laminar forced convection in a parallel plates channel is considered more closely to illustrate the different eigenvalue problem choices.
Keywords
Hybrid Methods, Integral Transforms, eigenvalue problems, transient convection, Convection Diffusion Equations
