Heat conduction in an orthotropic material–numerical analysis using python

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 excl...

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Bibliographic Details
Published inInternational journal on interactive design and manufacturing Vol. 17; no. 3; pp. 1089 - 1097
Main Authors Kumar, Arpan, Roy, Apurba Kumar, Kumar, Kaushik
Format Journal Article
LanguageEnglish
Published Paris Springer Paris 01.06.2023
Springer Nature B.V
Subjects
Accuracy
Boundary conditions
CAE) and Design
Computer-Aided Engineering (CAD
Conduction heating
Conductive heat transfer
Cooling
Electronics and Microelectronics
Engineering
Engineering Design
Finite difference method
Grain structure
Hard materials
Heat conductivity
Industrial Design
Instrumentation
Iterative methods
Machining
Mechanical Engineering
Numerical analysis
Original Paper
Physical properties
Porous materials
Process parameters
Temperature distribution
Thermodynamic properties
Two dimensional materials
Finite difference scheme
Thermal resistivity
Numerical analysis
Distribution of temperature
Ti–6Al–4 V
Machining parameters
Cooling strategy
Orthotropic thermo-physical property
Gauss seidel method
Python
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Summary: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. Graphical abstract
ISSN:1955-2513
1955-2505
DOI:10.1007/s12008-022-01051-4