Open AccessNumerical simulation of a nonlinear problem modeling the cooling of a metal
Author(s) -
Fatima Aboud,
Abdeljalil Nachaoui
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1743/1/012038
Subject(s) - nonlinear system , work (physics) , boundary value problem , mechanics , heat transfer , finite difference method , finite difference , mathematics , mathematical analysis , materials science , physics , thermodynamics , quantum mechanics
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.