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Simplified finite element approximations for coupled natural convection and radiation heat transfer

Albadr, Jaafar; El-Amrani, Mofdi; Seaid, Mohammed

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Authors

Jaafar Albadr

Mofdi El-Amrani



Abstract

This article focuses on the effect of radiative heat on natural convection heat transfer in a square domain inclined with an angle. The left vertical wall of the enclosure is heated while maintaining the vertical right wall at room temperature with both adiabatic upper and lower horizontal walls. The governing equations are Navier–Stokes equations subjected to Boussinesq approximation to account the change in density. The natural convection–radiation equations are solved continuously to obtain the temperature, velocity and pressure. Taylor–Hood finite element approach has been adopted to solve the equations using triangular mesh. Effects of Rayleigh number, Planck constant and optical depth on the results are considered, presented and analyzed. Results show that the adiabatic walls, Planck constant as well as the inclined angle play an important role in the distribution of heat transfer inside the cavity.

Citation

Albadr, J., El-Amrani, M., & Seaid, M. (2023). Simplified finite element approximations for coupled natural convection and radiation heat transfer. Numerical Heat Transfer, Part A Applications, 83(5), 478-502. https://doi.org/10.1080/10407782.2022.2091897

Journal Article Type Article
Acceptance Date May 25, 2022
Online Publication Date Jul 5, 2022
Publication Date 2023
Deposit Date Aug 2, 2022
Publicly Available Date Mar 14, 2023
Journal Numerical Heat Transfer, Part A: Applications
Print ISSN 1040-7782
Electronic ISSN 1521-0634
Publisher Taylor and Francis Group
Peer Reviewed Peer Reviewed
Volume 83
Issue 5
Pages 478-502
DOI https://doi.org/10.1080/10407782.2022.2091897
Public URL https://durham-repository.worktribe.com/output/1194417

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Publisher Licence URL
http://creativecommons.org/licenses/by-nc-nd/4.0/

Copyright Statement
This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License (http://
creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the
original work is properly cited, and is not altered, transformed, or built upon in any way.





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