论文标题

宇宙学类比,拉格朗日和对流的对称性传热

Cosmological analogies, Lagrangians, and symmetries for convective-radiative heat transfer

论文作者

Faraoni, Valerio, Atieh, Farah, Dussault, Steve

论文摘要

讨论了相对论宇宙论的弗里德曼方程与人体的对流辐射冷却/加热模型(包括牛顿,杜隆·佩特特,牛顿 - 斯特凡的法律和概括)之间的形式类比。该类比强调了这些冷却定律解决方案的拉格朗日,对称性和数学特性。

A formal analogy between the Friedmann equation of relativistic cosmology and models of convective-radiative cooling/heating of a body (including Newton's, Dulong-Petit's, Newton-Stefan's laws, and a generalization) is discussed. The analogy highlights Lagrangians, symmetries, and mathematical properties of the solutions of these cooling laws.

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