Analysis of Multilayer Cylindrical Thermal Conduction with a Time-Varying Convective Boundary Condition

IF 2.8 4区工程技术 Q2 ENGINEERING, MECHANICAL

Journal of Heat Transfer-transactions of The Asme Pub Date : 2023-11-02 DOI:10.1115/1.4063961

Long Zhou, Mohammad Parhizi, Ankur Jain

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引用次数: 0

Abstract

Abstract Heat transfer in a multilayer body plays a key role in design and optimization of several engineering systems. While the analysis of simple multilayer problems is quite straightforward, realistic scenarios such as time-dependent boundary conditions result in significant complications in analysis. This work presents thermal analysis of a heat-generating multilayer cylinder with time-varying convective heat transfer at the boundary. Such a scenario may occur in applications such as nuclear reactors, jet impingement cooling, turbine blade heat transfer, as well as casting and related manufacturing processes. Analysis is presented for both annular and solid cylinders. A derivation for the temperature distribution is carried out, using a shifting function to split the time-dependent boundary condition into two parts, followed by appropriate mathematical substitution. For particular special cases, the analytical results derived here are shown to reduce exactly to results from past work. Good agreement of the theoretical results with numerical simulations is also demonstrated. Thermal response to a various realistic time-dependent boundary conditions is analyzed. This work may enable the theoretical design and optimization of realistic multilayer problems, and may serve as a design tool for optimization of engineering systems where multilayer thermal conduction plays a key role.

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具有时变对流边界条件的多层圆柱热传导分析

多层体的传热问题在许多工程系统的设计和优化中起着至关重要的作用。虽然简单的多层问题的分析是相当直接的，但现实的情况，如时变边界条件导致了分析的显著复杂性。本文对边界有时变对流换热的多层圆筒进行了热分析。这种情况可能发生在核反应堆、射流冲击冷却、涡轮叶片传热以及铸造和相关制造过程等应用中。给出了环空和实心圆柱体的分析。对温度分布进行了推导，使用移位函数将时变边界条件分成两部分，然后进行适当的数学替换。对于特殊的情况，这里得到的分析结果可以精确地还原为过去工作的结果。理论结果与数值模拟结果吻合较好。分析了不同时变边界条件下的热响应。这项工作可以使实际多层问题的理论设计和优化成为可能，并且可以作为多层热传导起关键作用的工程系统优化的设计工具。

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

Journal of Heat Transfer-transactions of The Asme 工程技术-工程：机械

自引率

0.00%

发文量

182

审稿时长

4.7 months

期刊介绍： Topical areas including, but not limited to: Biological heat and mass transfer; Combustion and reactive flows; Conduction; Electronic and photonic cooling; Evaporation, boiling, and condensation; Experimental techniques; Forced convection; Heat exchanger fundamentals; Heat transfer enhancement; Combined heat and mass transfer; Heat transfer in manufacturing; Jets, wakes, and impingement cooling; Melting and solidification; Microscale and nanoscale heat and mass transfer; Natural and mixed convection; Porous media; Radiative heat transfer; Thermal systems; Two-phase flow and heat transfer. Such topical areas may be seen in: Aerospace; The environment; Gas turbines; Biotechnology; Electronic and photonic processes and equipment; Energy systems, Fire and combustion, heat pipes, manufacturing and materials processing, low temperature and arctic region heat transfer; Refrigeration and air conditioning; Homeland security systems; Multi-phase processes; Microscale and nanoscale devices and processes.