https://doi.org/10.1140/epjc/s10052-020-8292-0
Regular Article - Theoretical Physics
Cosmological analogies, Lagrangians, and symmetries for convective–radiative heat transfer
Department of Physics and Astronomy, Bishop’s University, 2600 College Street, Sherbrooke, Quebec, J1M 1Z7, Canada
* e-mail: vfaraoni@ubishops.ca
Received:
5
July
2020
Accepted:
23
July
2020
Published online:
6
August
2020
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.
© The Author(s), 2020
