A study of the dynamic response of two concentric spheres in the context of thermoelastic diffusion with internal heat source

IF 6.4 2区工程技术 Q1 THERMODYNAMICS

Case Studies in Thermal Engineering Pub Date : 2025-06-19 DOI:10.1016/j.csite.2025.106540

Mohamed F. Abbas, Mohamed F. Zaky, Baraa A. Ahmed, Samar A. Mahrous

引用次数: 0

Abstract

This work examines the dynamic response of a heat source (inner sphere of radius a) embedded within a concentric spherical body (outer radius b), governed by the one-relaxation-time generalized thermoelastic diffusion theory. The outer sphere is subjected to a thermal load while remaining stress-free. A Laplace transform approach is used to solve the governing equations. The subsequent inverse transform yields the spatial distributions of temperature, displacement, radial stress, concentration, and chemical potential. Numerical results reveal a weak dependence of temperature but strong dependence of displacement and stress on the duration of thermal loading. The study underscores the importance of generalized thermoelastic diffusion theory in accurately modeling complex engineering scenarios.

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内热源热弹性扩散条件下两个同心球的动力学响应研究

本工作考察了一个热源（半径为a的内球体）嵌入一个同心球体（半径为b）的动态响应，由一个松弛时间广义热弹性扩散理论控制。外层球体承受热负荷，同时保持无应力。采用拉普拉斯变换方法求解控制方程。随后的反变换得到温度、位移、径向应力、浓度和化学势的空间分布。数值结果表明温度对热载荷持续时间的依赖性较弱，而位移和应力对热载荷持续时间的依赖性较强。该研究强调了广义热弹性扩散理论在精确模拟复杂工程场景中的重要性。

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

Case Studies in Thermal Engineering Chemical Engineering-Fluid Flow and Transfer Processes

CiteScore

8.60

自引率

11.80%

发文量

812

审稿时长

76 days

期刊介绍： Case Studies in Thermal Engineering provides a forum for the rapid publication of short, structured Case Studies in Thermal Engineering and related Short Communications. It provides an essential compendium of case studies for researchers and practitioners in the field of thermal engineering and others who are interested in aspects of thermal engineering cases that could affect other engineering processes. The journal not only publishes new and novel case studies, but also provides a forum for the publication of high quality descriptions of classic thermal engineering problems. The scope of the journal includes case studies of thermal engineering problems in components, devices and systems using existing experimental and numerical techniques in the areas of mechanical, aerospace, chemical, medical, thermal management for electronics, heat exchangers, regeneration, solar thermal energy, thermal storage, building energy conservation, and power generation. Case studies of thermal problems in other areas will also be considered.