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ISSN Online: 2377-424X

ISBN Print: 0-89116-130-9

International Heat Transfer Conference 6
August, 7-11, 1978, Toronto, Canada

LAGRANGEAN OF HEAT TRANSFER WITH FINITE WAVE SPEED

Get access (open in a dialog) DOI: 10.1615/IHTC6.400
pages 281-284

Abstract

In analogy to the Lagrange function of the mechanical motion of a closed system of point particles it is possible to obtain a Lagrange function for heat conduction in thermodynamic systems. First Prigogine determined a Lagrange function applying his principle of minimum production of entropy. He was followed by Gyarmati who proposed a more extended expression than Prigogine's one including the variation in time.
On the basis of the nonequilibrium thermodynamics we propose a Lagrange function, which allows to derivate the Luikov-Fourier equation for heat transfer with finite wave speed including the Lagrange function of Gyarmati as special case.