Cosmological analogies, Lagrangians, and symmetries for convective-radiative heat transfer
classification
🌀 gr-qc
physics.class-phphysics.pop-ph
keywords
analogyconvective-radiativecoolinglagrangianslawssymmetriesanalogiesbody
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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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