An Analytical and a Numerical Method for Nonlinear Convection-Radiation Problems in Porous Fins-Reference-Cited by-同舟云学术

An Analytical and a Numerical Method for Nonlinear Convection-Radiation Problems in Porous Fins

Published:2022-01-25 Issue: Volume:2022 Page:1-12
ISSN:1687-9139
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Correa E. D.¹,Quirino J. M.¹,Sobral R. L.²^ORCID,Corrêa J. F.¹,Gama R. M. S.¹^ORCID

Affiliation:

1. State University of Rio de Janeiro, Rua São Francisco Xavier, 524, Rio de Janeiro, RJ 20550-013, Brazil

2. Federal Center of Technological Education, Est. Adrianopolis, 1317, Nova Iguaçu, RJ 26041-271, Brazil

Abstract

The present work shows an analytical and a numerical method for heat transfer nonlinear problems in porous fins using the Darcy model. Numerical simulations are carried out with the aid of a sequence of linear problems, each of them possessing an equivalent minimum principle, that has as its limit the solution of the original problem. The nonlinear convection-radiation heat transfer process is considered and simulated by means of a finite difference scheme. Results showed the relevance of the radiation for realistic thermal mapping in porous media with percentage errors of up to 40% for the last nodes.

Funder

Coordenao de Aperfeioamento de Pessoal de Nvel Superior Brasil

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2022/9033324.pdf

Reference26 articles.

1. Some Exact Solutions of Nonlinear Fin Problem for Steady Heat Transfer in Longitudinal Fin with Different Profiles

2. Mathematical Extrapolating of Highly Efficient Fin Systems

3. Asymptotic and Dynamical Analyses of Heat Transfer through a Rectangular Longitudinal Fin