Statistical approach of the irreversible entropy variation

Lucia, Umberto

doi:10.1016/j.physa.2008.02.002

Cited by 41 publications

(46 citation statements)

References 14 publications

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“…Consequently, a question arises: is entropy production density maximum or minimum [3,[43][44][45][46][47][48][49][50][51][52][53][54][55]? This is a very interesting research topic; moreover, from an engineering thermodynamic point of view, it requires a fundamental, general principle, based on a macroscopic quantity.…”

Section: The Analytical Formulations Of Second Lawmentioning

confidence: 99%

The Second Law Today: Using Maximum-Minimum Entropy Generation

Lucia

Grazzini

2015

Entropy

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Abstract:There are a great number of thermodynamic schools, independent of each other, and without a powerful general approach, but with a split on non-equilibrium thermodynamics. In 1912, in relation to the stationary non-equilibrium states, Ehrenfest introduced the fundamental question on the existence of a functional that achieves its extreme value for stable states, as entropy does for the stationary states in equilibrium thermodynamics. Today, the new branch frontiers of science and engineering, from power engineering to environmental sciences, from chaos to complex systems, from life sciences to nanosciences, etc. require a unified approach in order to optimize results and obtain a powerful approach to non-equilibrium thermodynamics and open systems. In this paper, a generalization of the Gouy-Stodola approach is suggested as a possible answer to the Ehrenfest question.

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Section: The Analytical Formulations Of Second Lawmentioning

confidence: 99%

The Second Law Today: Using Maximum-Minimum Entropy Generation

Lucia

Grazzini

2015

Entropy

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“…The observation frequency of a specific system state is directly controlled by a quantity that in Ref. [10] has been successfully related to the entropy due to irreversibility. Moreover irreversible entropy is of purely mechanical interpretation and is related to the ergodic hypothesis, i.e.…”

Section: Thermodynamics Approach To Cavitationmentioning

confidence: 99%

“…The conclusions presented in Ref. [10] show the relation between probability evaluation in the phase-space and the statistical distribution of observed phenomena: the maximum for the variation of entropy due to irreversibility is seen as a macroscopic effect linked to probability evolution and has been successfully introduced in the analysis of dynamically systems like the one presently under investigation. In the next paragraph we show the results obtained in computing thermodynamical quantities in a cavitating fluid applying the maximum variation principle of irreversible entropy.…”

Section: Thermodynamics Approach To Cavitationmentioning

confidence: 99%

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Hydrodynamic cavitation: from theory towards a new experimental approach

Lucia¹,

Gervino

2009

Open Physics

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Abstract:Hydrodynamic cavitation is analysed by a global thermodynamics principle following an approach based on the maximum irreversible entropy variation that has already given promising results for open systems and has been successfully applied in specific engineering problems. In this paper we present a new phenomenological method to evaluate the conditions inducing cavitation. We think this method could be useful in the design of turbo-machineries and related technologies: it represents both an original physical approach to cavitation and an economical saving in planning because the theoretical analysis could allow engineers to reduce the experimental tests and the costs of the design process. PACS (2008):45.55 dp, 47.35.-i, 05.70.-a

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“…Entropy has been successfully introduced in the hydraulic and hydrological analyses [4][5][6] pointing out how this quantity can be effective in these studies. In the last two decades many results have been obtained just in irreversible thermodynamics useful to evaluate quantitatively many natural phenomena [7][8][9][10][11][12][13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Irreversibility in river flow

Lucia¹,

Buzzi²,

Grazzini³

2016

IJHT

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In the last twenty years, the entropy generation approach has been developed in order to analyse complex systems (open and irreversible). The first applications of the entropy generation extrema theorem were developed on energy systems, but recently, it has also been extended to biological systems in order to evaluate their stationary states. In this paper, the entropy generation is analyzed in relation to the hydrological and hydraulic behaviour of rivers. An example is developed on the Tanaro River in Piedmont (Italy).

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Statistical approach of the irreversible entropy variation

Cited by 41 publications

References 14 publications

The Second Law Today: Using Maximum-Minimum Entropy Generation

The Second Law Today: Using Maximum-Minimum Entropy Generation

Hydrodynamic cavitation: from theory towards a new experimental approach

Irreversibility in river flow

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