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International Journal on Interactive Design and Manufacturing (IJIDeM)

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30-09-2022 | Original Paper

Heat conduction in an orthotropic material–numerical analysis using python

Authors: Arpan Kumar, Apurba Kumar Roy, Kaushik Kumar

Published in: International Journal on Interactive Design and Manufacturing (IJIDeM) | Issue 3/2023

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Abstract

The grain structure deforms once a material is subjected to rolling and due to the same the properties get affected especially the thermal properties resulting in orthotropic thermo-physical property. So, for a high hardness material for example, Ti–6Al–4 V requires extensive study as these are exclusively used as replacement in human body like, implants. The study also ensures proper fitment and longevity. Now, since a considerable quantity of heat is generated while machining of these materials hence, to formulate the cooling strategy, deep understanding of the temperature – distribution becomes very essential. Moreover, it also controls the thermo–physical characteristics of the aforesaid hard materials. The present work numerically estimates the temperature distribution assuming 2D material domain. To achieve the objective, Finite Difference Scheme has been used using Python. The mathematical equations relevant to heat transfer along with relevant boundary conditions have been discretized and iterative method has been employed for the solution. The various thermo–physical properties have been explicitly depicted with the aid of 2D temperature distribution plots. The conclusion of the work can be employed for deciding the cooling strategies and also various machining parameters.

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Title: Heat conduction in an orthotropic material–numerical analysis using python
Authors: Arpan Kumar
Apurba Kumar Roy
Kaushik Kumar
Publication date: 30-09-2022
Publisher: Springer Paris
Published in: International Journal on Interactive Design and Manufacturing (IJIDeM) / Issue 3/2023
Print ISSN: 1955-2513
Electronic ISSN: 1955-2505
DOI: https://doi.org/10.1007/s12008-022-01051-4

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