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Heat conduction in an orthotropic material–numerical analysis using python

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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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The authors sincerely acknowledge the comments and suggestions of the reviewer(s) and editor(s) that have been instrumental for improving and upgrading the paper in its final form.

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  1. Ramakrishna Mission Vidyamandira, Belur, Howrah, India

    Arpan Kumar

  2. Birla Institute of Technology, Mesra, Ranchi, India

    Apurba Kumar Roy & Kaushik Kumar

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Kumar, A., Roy, A.K. & Kumar, K. Heat conduction in an orthotropic material–numerical analysis using python. Int J Interact Des Manuf 17, 1089–1097 (2023). https://doi.org/10.1007/s12008-022-01051-4

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