A Modified Enthalpic Lattice Boltzmann Method for Simulating Conjugate Heat Transfer Problems in Non-Homogeneous Media

Author:

Matsuda Vinicius Akyo1ORCID,Martins Ivan Talão1ORCID,Moreira Debora Carneiro1ORCID,Cabezas-Gómez Luben1ORCID,Bandarra Filho Enio Pedone2ORCID

Affiliation:

1. Heat Transfer Research Group, Department of Mechanical Engineering, São Carlos School of Engineering (EESC), University of São Paulo (USP), São Carlos 13566-590, São Paulo, Brazil

2. Faculty of Mechanical Engineering, Federal University of Uberlândia (UFU), Av. João Naves de Ávila, 2121 Santa Monica, Uberlândia 38400-902, Minas Gerais, Brazil

Abstract

In this study, we introduced modifications to a prior existing enthalpic lattice Boltzmann method (LBM) tailored for simulating the conjugate heat transfer phenomena in non-homogeneous media with time-dependent thermal properties. Our approach is based upon the incorporation of the remaining terms of a conservative energy equation, excluding only the terms regarding flow compressibility and viscous dissipation, thereby accounting for the local and transient variations in the thermophysical properties. The solutions of verification tests, comprising assessments of both transient and steady-state solutions, validated the accuracy of the proposed model, further bolstering its reliability for analyzing heat transfer processes. The modified model was then used to perform an analysis on structured cavities under free convection, revealing compelling insights, particularly regarding transient regimes, demonstrating that the structured cavities exhibit a beneficial impact on enhancing the heat transfer processes, hence providing insights for potential design enhancements in heat exchangers. These results demonstrate the potential of our modified enthalpic LBM approach for simulating complex heat transfer phenomena in non-homogeneous media and structured geometries, offering valuable results for heat exchanger engineering and optimization.

Publisher

MDPI AG

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