Variational principles in terms of entransy for heat transfer

Mingtian Xu

Energy, 2012, vol. 44, issue 1, 973-977

Abstract: A variational principle for heat conduction is formulated which results in the steady state heat conduction equation established from the Fourier law. Furthermore based on the thermodynamics in terms of entransy a more general functional is defined for incompressible fluids. We show that extremizing this functional gives rise to the state described by the Navier-Stokes-Fourier equations with vanishing substantive derivatives of the temperature and velocity field. In this sense one may conclude that this variational principle is consistent with the Navier-Stokes-Fourier equations. Therefore the variational principle developed in the present work demonstrates a great advantage over the minimum entropy production principle.

Keywords: Entransy; Variational principle; Heat transfer; Incompressible fluid (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:energy:v:44:y:2012:i:1:p:973-977

DOI: 10.1016/j.energy.2012.04.053

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