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3/2024 vol. 29
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ORIGINAL PAPER
Heat transfer modelling in an annular disc under heating and cooling processes with stress analysis
Indrajeet Varhadpande 1
,
 
VRK Murty 1
,
 
Navneet Kumar Lamba 2
 
 
 
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1
Mathematics, Department of S & H, VIGNAN’S Foundation for Science, Technology & Research, Guntur, A.P., India
 
2
Mathematics, Shri Lemdeo Patil Mahavidyalaya, Mandhal, India
 
These authors had equal contribution to this work
 
 
Submission date: 2024-01-19
 
 
Final revision date: 2024-02-17
 
 
Acceptance date: 2024-04-11
 
 
Publication date: 2024-09-12
 
 
Corresponding author
Navneet Kumar Lamba   

Mathematics, Shri Lemdeo Patil Mahavidyalaya, Mandhal, Nagpur, 441210, Mandhal, India
 
 
International Journal of Applied Mechanics and Engineering 2024;29(3):166-181
DOI: https://doi.org/10.59441/ijame/187052
 
 
Article (PDF)
References (40)
 
KEYWORDS
integral transform
Memory related derivatives
heating and cooling process
stress functions
 
TOPICS
elasticity
plasticity
mechanics of structures
thermodynamics
material science
materials engineering
 
ABSTRACT
The goal of this effort is to determine the interaction among the heating and cooling processes in order to understand how solids behave when subjected to temperature changes. In this instance, the temperature, displacement, and stress relations are determined analytically and numerically while a thin annular disc is subjected to both the heating and cooling processes. The ability of a material to withstand stress is essential for the design of diverse mechanical structures that aim to enhance performance, durability, characteristics, and strength. This ability is demonstrated in many physical processes where the material structure crosses over into heating and cooling processes. Furthermore, memory derivatives used in the modelling of heat transfer equations more accurately depict the memory behaviour of an imagined disc and explain its physical significance.
 
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