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首页> 外文期刊>International Journal of Heat and Mass Transfer >Unsteady heat conduction in two-dimensional two slab-shaped regions. Exact closed-form solution and results
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Unsteady heat conduction in two-dimensional two slab-shaped regions. Exact closed-form solution and results

机译：二维的两个板状区域中的热传导不稳定。确切的封闭式解决方案和结果

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摘要

The unsteady heat conduction analysis for multi-directional piecewise-homogeneous bodies is generally held to be complex and demanding, possibly explaining why practical guidelines for thermal field calculation are few and far between. The proposed solution method represents an extension of the new, 'natural' analytic approach derived in companion papers for solving one-dimensional multi-layer problems of time-dependent heat conduction. As the approach is new, it is presented in full, together with the complete temperature double-series solution prepared for computer implementation. By setting thermal diffusivity ratio unitary and assuming a uniform distribution of initial temperature, it emerges that, all other things being equal, the transient thermal response can be expressed as the product of two, separated, one-directional solutions, one across the layers and the other along the composite slab. The formulation deals properly with thermal conductivity ratios of all magnitudes. An efficient and accurate procedure of computing eigenvalues is given. Graphical and numerical output is presented and discussed.
机译：通常认为，多向分段均质体的非稳态热传导分析是复杂且苛刻的，这可能解释了为何热场计算实用指南很少而又相差甚远。提出的解决方法代表了伴随论文中新的“自然”分析方法的扩展，用于解决时变热传导的一维多层问题。由于该方法是新方法，因此将完整介绍该方法，以及为计算机实现准备的完整温度双系列解决方案。通过设置统一的热扩散率并假设​​初始温度均匀分布，可以得出，在所有其他条件相同的情况下，瞬态热响应可以表示为两个单独的单向解，一个跨层的解和另一个沿着复合板。该配方可正确处理所有大小的导热系数。给出了一种计算特征值的有效而准确的过程。提出并讨论了图形和数字输出。

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