A new thermo-optical system with a fractional Caputo operator for a rotating spherical semiconductor medium immersed in a magnetic field

IF 1.5 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Ahmed E. Abouelregal, Marin Marin, S.S. Saskar, Abdelaziz Foul
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引用次数: 0

Abstract

Purpose

Understanding the mechanical and thermal behavior of materials is the goal of the branch of study known as fractional thermoelasticity, which blends fractional calculus with thermoelasticity. It accounts for the fact that heat transfer and deformation are non-local processes that depend on long-term memory. The sphere is free of external stresses and rotates around one of its radial axes at a constant rate. The coupled system equations are solved using the Laplace transform. The outcomes showed that the viscoelastic deformation and thermal stresses increased with the value of the fractional order coefficients.

Design/methodology/approach

The results obtained are considered good because they indicate that the approach or model under examination shows robust performance and produces accurate or reliable results that are consistent with the corresponding literature.

Findings

This study introduces a proposed viscoelastic photoelastic heat transfer model based on the Moore-Gibson-Thompson framework, accompanied by the incorporation of a new fractional derivative operator. In deriving this model, the recently proposed Caputo proportional fractional derivative was considered. This work also sheds light on how thermoelastic materials transfer light energy and how plasmas interact with viscoelasticity. The derived model was used to consider the behavior of a solid semiconductor sphere immersed in a magnetic field and subjected to a sudden change in temperature.

Originality/value

This study introduces a proposed viscoelastic photoelastic heat transfer model based on the Moore-Gibson-Thompson framework, accompanied by the incorporation of a new fractional derivative operator. In deriving this model, the recently proposed Caputo proportional fractional derivative was considered. This work also sheds light on how thermoelastic materials transfer light energy and how plasmas interact with viscoelasticity. The derived model was used to consider the behavior of a solid semiconductor sphere immersed in a magnetic field and subjected to a sudden change in temperature.

带分数卡普托算子的新型热光学系统,适用于浸没在磁场中的旋转球形半导体介质
目的 了解材料的机械和热行为是分数热弹性这一研究分支的目标。它考虑到了传热和变形是依赖于长期记忆的非局部过程这一事实。球体不受外部应力影响,并以恒定的速率围绕其一条径向轴旋转。耦合系统方程使用拉普拉斯变换求解。结果表明,粘弹性变形和热应力随分数阶系数值的增加而增加。设计/方法/途径所获得的结果被认为是良好的,因为它们表明所研究的方法或模型表现出稳健的性能,并产生与相应文献一致的准确或可靠的结果。在推导该模型时,考虑了最近提出的卡普托比例分数导数。这项工作还揭示了热弹性材料如何传递光能以及等离子体如何与粘弹性相互作用。本研究基于摩尔-吉布森-汤普森(Moore-Gibson-Thompson)框架提出了一个粘弹性光弹性传热模型,并加入了一个新的分数导数算子。在推导这一模型时,考虑了最近提出的卡普托比例分数导数。这项工作还揭示了热弹性材料如何传递光能以及等离子体如何与粘弹性相互作用。推导出的模型被用于考虑浸入磁场并受到温度骤变影响的固体半导体球体的行为。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Engineering Computations
Engineering Computations 工程技术-工程:综合
CiteScore
3.40
自引率
6.20%
发文量
61
审稿时长
5 months
期刊介绍: The journal presents its readers with broad coverage across all branches of engineering and science of the latest development and application of new solution algorithms, innovative numerical methods and/or solution techniques directed at the utilization of computational methods in engineering analysis, engineering design and practice. For more information visit: http://www.emeraldgrouppublishing.com/ec.htm
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