A thermodynamic derivation of the stress-strain relations for burgers media and related substances

Kluitenberg, G.A.

doi:10.1016/0031-8914(68)90002-5

Cited by 41 publications

(28 citation statements)

References 6 publications

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“…A deeper insight into the biological phenomena can be obtained by Kluitenberg's thermodynamic theory by means of the definition of some other linear relationship, called state equations, in which appear the so-called state coefficients [3][4][5][6][7]. The theory is based entirely on the introduction of a set of so-called internal variables associated to internal degree of freedom of the medium by means of which a more complete description is possible.…”

Section: A Theoretical and Experimental Approach To The Investigationmentioning

confidence: 99%

“…This allows us to obtain a spectrum of the coefficients as function of the frequency of the ultrasonic wave. Therefore, since the coefficients are related to particular phenomena occurring inside the medium (blood) as elasticity, inelasticity, fluidity and viscosity [7], we obtain a description of these phenomena as function of frequency. This knowledge allows to determine the entropy production and has the role of relating entropy sources with irreversible processes that occur in the blood.…”

Section: A Theoretical and Experimental Approach To The Investigationmentioning

confidence: 99%

“…In the theory, it is assumed that the specific entropy (which we indicate with s) has the following functional dependence [7] s ¼ s u e ik e ð1Þ ik ð2Þ…”

Section: Remarks On Kluitenberg Theorymentioning

confidence: 99%

“…where it can be shown that by assuming there exists an R state at the constant temperature T 0 results in [7]: …”

Section: Remarks On Kluitenberg Theorymentioning

confidence: 99%

“…Indeed, in the literature, there exist several approaches to this discipline which differ mainly in the choice of the variables to describe phenomena. In this paper, we follow the thermodynamic theory with internal variables of Kluitenberg [3][4][5][6][7] and we will evaluate the entropy production of a system when it is subjected to an ultrasound wave. Indeed, in previous papers, this has been done but the system was perturbed by an electric field or mechanical vibrations [8][9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

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Evaluation of the human blood entropy production: a new thermodynamic approach

et al. 2016

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In this paper, we follow the thermodynamic theory with internal variables of Kluitenberg evaluating the entropy production of red blood cell in saline solution and whole blood, respectively, when they are subjected to an ultrasound wave. From a thermodynamic point of view, blood is an open system; so to fully represent the entropy variation as function of frequency perturbation we employ phenomenological coefficients which allow us to qualitatively discriminate among classes of phenomena which cannot be observed in any other way. Therefore, a correlation between these coefficients and quantities experimentally measurable allows to a deeper knowledge of biological phenomena.Keywords Blood Á Entropy Á Non-equilibrium thermodynamic Á Red blood cells Á Ultrasound Sommario In questo lavoro, utilizzando la teoria termodinamica di Kluitenberg con variabili interne, viene valutata la produzione di entropia nel sangue intero e nei globuli rossi, quando questo viene perturbato con ultrasuoni in funzione della frequenza. Poiché da un punto di vista termodinamico, il sangue è un sistema aperto, determinare la variazione di entropia in funzione della frequenza è della massima importanza. A tale scopo vengono determinati i coefficienti fenomenologici da cui essa dipende, i quali, inoltre, permettono di discriminare qualitativamente classi di fenomeni che altrimenti non vengono considerate. Pertanto, una correlazione tra questi coefficienti e le quantità sperimentalmente misurabili permette di approfondire la conoscenza dei fenomeni biologici.

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Section: A Theoretical and Experimental Approach To The Investigationmentioning

confidence: 99%

Section: A Theoretical and Experimental Approach To The Investigationmentioning

confidence: 99%

“…In the theory, it is assumed that the specific entropy (which we indicate with s) has the following functional dependence [7] s ¼ s u e ik e ð1Þ ik ð2Þ…”

Section: Remarks On Kluitenberg Theorymentioning

confidence: 99%

“…where it can be shown that by assuming there exists an R state at the constant temperature T 0 results in [7]: …”

Section: Remarks On Kluitenberg Theorymentioning

confidence: 99%