Fractal Representation of Exergy

Abstract

Abstract:We developed a geometrical model to represent the thermodynamic concepts of exergy and anergy. The model leads to multi-scale energy lines (correlons) that we characterised by fractal dimension and entropy analyses. A specific attention will be paid to overlapping points, rising interesting remarks about trans-scale dynamics of heat flows.

On the entropy production of the elemental construct of the constructal designed plate generating heat

“…the higher the thermodynamic scale the less the thermodynamic transformation is irreversible. This thermodynamic length can be represented as a spreading curve for small lengths corresponding to a dissipative trend for energy and a straight line for high lengths corresponding to a conservative trend ( [81]).…”

An exergetic approach for materials fatigue

“…and Where are the fractal support and its location? The field of fractals in materials is well documented (Carpinteri, 1994;Hähner et al, 1998) and the reflections about fractal geometry (Mandelbrot, 1975;Le Méhauté et al, 1998), entropy minimisation and constructal theory (Bejan, 2006;Wechsatol et al, 2004) and geometrical structure of entropy generation (Queiros-Condé, 2003;Queiros-Condé et al, 2015a, 2015bCanivet et al, 2016) lead us to the exergy equation for a better understanding of mechanical fatigue.…”