A Two-Temperature Fractional DPL Thermoelasticity Model with an Exponential Rabotnov Kernel for a Flexible Cylinder with Changeable Properties

IF 4.3 3区 材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC
A. Abouelregal, Yazeed Alhassan, Hashem Althagafi, Faisal Alsharif
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引用次数: 0

Abstract

This article presents a new thermoelastic model that incorporates fractional-order derivatives of two-phase heat transfer as well as a two-temperature concept. The objective of this model is to improve comprehension and forecasting of heat transport processes in two-phase-lag systems by employing fractional calculus. This model suggests a new generalized fractional derivative that can make different kinds of singular and non-singular fractional derivatives, depending on the kernels that are used. The non-singular kernels of the normalized sinc function and the Rabotnov fractional–exponential function are used to create the two new fractional derivatives. The thermoelastic responses of a solid cylinder with a restricted surface and exposed to a moving heat flux were examined in order to assess the correctness of the suggested model. It was considered that the cylinder’s thermal characteristics are dependent on the linear temperature change and that it is submerged in a continuous magnetic field. To solve the set of equations controlling the suggested issue, Laplace transforms were used. In addition to the reliance of thermal characteristics on temperature change, the influence of derivatives and fractional order was also studied by providing numerical values for the temperature, displacement, and stress components. This study found that the speed of the heat source and variable properties significantly impact the behavior of the variables under investigation. Meanwhile, the fractional parameter has a slight effect on non-dimensional temperature changes but plays a crucial role in altering the peak value of non-dimensional displacement and pressure.
具有指数拉波特诺夫核的双温分数 DPL 热弹性模型适用于特性可变的柔性圆柱体
本文提出了一种新的热弹性模型,其中包含两相传热的分数阶导数以及双温概念。该模型的目的是通过使用分数微积分来改进对两相滞后系统中热传递过程的理解和预测。该模型提出了一种新的广义分数导数,它可以根据所使用的核,产生不同类型的奇异和非奇异分数导数。归一化 sinc 函数和 Rabotnov 分数-指数函数的非奇异核被用来创建两种新的分数导数。为了评估所建议模型的正确性,对一个表面受限并暴露于移动热通量的实心圆柱体的热弹性响应进行了研究。研究认为,圆柱体的热特性取决于线性温度变化,而且圆柱体浸没在连续磁场中。为了求解控制建议问题的方程组,使用了拉普拉斯变换。除了热特性对温度变化的依赖外,还通过提供温度、位移和应力分量的数值研究了导数和分数阶的影响。研究发现,热源速度和变量特性对所研究变量的行为有显著影响。同时,分数参数对非维温度变化的影响较小,但对改变非维位移和压力的峰值起着至关重要的作用。
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
CiteScore
7.20
自引率
4.30%
发文量
567
期刊介绍: ACS Applied Electronic Materials is an interdisciplinary journal publishing original research covering all aspects of electronic materials. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrate knowledge in the areas of materials science, engineering, optics, physics, and chemistry into important applications of electronic materials. Sample research topics that span the journal's scope are inorganic, organic, ionic and polymeric materials with properties that include conducting, semiconducting, superconducting, insulating, dielectric, magnetic, optoelectronic, piezoelectric, ferroelectric and thermoelectric. Indexed/​Abstracted: Web of Science SCIE Scopus CAS INSPEC Portico
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