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首页> 外文期刊>International Journal of Mechanical Engineering Education >Streamlining the teaching of unsteady heat conduction in regular solid bodies with heat convection to neighboring fluids
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Streamlining the teaching of unsteady heat conduction in regular solid bodies with heat convection to neighboring fluids

机译：通过与相邻流体的热对流，简化常规固体中不稳定热传导的教学

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摘要

In the analysis of unidirectional, unsteady heat conduction for simple solid bodies (large slab, long cylinder and sphere), the modern tendency adopted by authors of heat transfer textbooks is to calculate the temperatures and total heat transfer with "one-term" series accounting for the proper eigenquantities, which are expressed in terms of the Biot number. The supporting information is available in tables for a large slab, a long cylinder and a sphere. To avoid linear and quadratic interpolation for the Biot numbers listed in the tables, the goal of the present study is to use regression analysis in order to develop compact correlation equations for the first eigenvalues, the first eigencontants and the first constants (for the total heat transfer) varying with the Biot number for large slabs, long cylinders and spheres, all in the ample range 0 < Bi ≤ 100. This direct approach will speed up the step-by-step calculations of a multitude of unsteady heat conduction problems for engineering students.
机译：在分析简单固体（大板，长圆柱体和球体）的单向，非稳态热传导时，传热教科书作者所采用的现代趋势是通过“一次”系列核算来计算温度和总传热适当的特征量，以毕奥数表示。支持信息可在大型平板，长圆柱体和球体的表中找到。为了避免对表中列出的Biot数进行线性和二次插值，本研究的目的是使用回归分析来为第一特征值，第一特征成分和第一常数（对于总热量）建立紧凑的相关方程。传递）随大板，长圆柱体和球体的毕奥数而变化，都在0

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