A methodology using a non-increasing sequence applied in the solution of heat transfer problems

被引：0

作者：

Sarmento, Vinicius Vendas ^{[1
]}

Martins-Costa, Maria Laura ^{[1
,3
]}

da Gama, Rogerio Martins Saldanha ^{[2
]}

机构：

[1] Univ Fed Fluminense, Mech Engn Grad Program, Niteroi, RJ, Brazil

[2] Univ Estado Rio De Janeiro, Mech Engn Dept, Rio De Janeiro, RJ, Brazil

[3] Univ Fed Fluminense, Mech Engn Dept, Lab Theoret & Appl Mech, Rua Passo Da Patria 156, BR-24210240 Niteroi, RJ, Brazil

来源：

APPLICATIONS IN ENGINEERING SCIENCE | 2023年 / 16卷

关键词：

Numerical approximation; Non -increasing sequences; Non-linear heat transfer; Ordinary differential equation; Error estimate; NATURAL-CONVECTION; THERMAL-ANALYSIS; POROUS FIN; RADIATION;

D O I：

10.1016/j.apples.2023.100152

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This research aims to propose a numerical methodology that employs a non-increasing sequence to approximate the solution for a large class of ordinary differential equations like the ones described in complex non-linear heat transfer through porous fins. It also aims to compare this proposed methodology with an earlier one using a nondecreasing sequence of elements and to provide an upper-bound estimation for the error. The comparison between the non-increasing and non-decreasing sequences showed excellent agreement when applied to an example of convection and radiation in porous fins.

引用

页数：8

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