Numerical simulation of a nonlinear problem modeling the cooling of a metal

In this work, the finite difference method was used to calculate the heat distribution during cooling by the boundary part of a cylindrical material subjected to high temperature. A mathematical model of the process was formulated using cylindrical coordinates. The heat transfer coefficient occurrin...

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Bibliographic Details
Published in:Journal of physics. Conference series Vol. 1743; no. 1; pp. 12038 - 12048
Main Authors: Aboud, Fatima, Nachaoui, Abdeljalil
Format: Journal Article
Language:English
Published: Bristol IOP Publishing 01.01.2021
IOP Science
Subjects:
Cooling
Cylindrical coordinates
Finite difference method
Heat distribution
Heat transfer coefficients
High temperature
Mathematical analysis
Mathematical models
Mathematics
Numerical Analysis
Physics
ISSN:1742-6588, 1742-6596
Online Access:Get full text
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Summary:In this work, the finite difference method was used to calculate the heat distribution during cooling by the boundary part of a cylindrical material subjected to high temperature. A mathematical model of the process was formulated using cylindrical coordinates. The heat transfer coefficient occurring in the Robin condition at the cooled boundary is nonlinear. We use quasi-Newton techniques combined with gradient-like methods to solve the discrete nonlinear problem.
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ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1743/1/012038