A thermodynamical suspension model for blood

IF 1.9 3区工程技术 Q3 MECHANICS

Meccanica Pub Date : 2024-08-02 DOI:10.1007/s11012-024-01859-2

Matteo Gorgone, Carmelo Filippo Munafò, Annunziata Palumbo, Patrizia Rogolino

引用次数: 0

Abstract

A complete thermodynamical analysis for a blood model, based on mixture theory, is performed. The model is developed considering the blood as a suspension of red blood cells (solid component) in the plasma (fluid component), and taking into account the temperature effects. Furthermore, two independent scalar internal variables are introduced accounting for additional dissipative effects. Using Clausius-Duhem inequality, the general thermodynamic restrictions and residual dissipation inequality are derived. The thermodynamic admissibility with the second law of thermodynamics is assessed by means of the extended Coleman-Noll procedure; in one space dimension we exhibit a solution of all the thermodynamical constraints.

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血液热力学悬浮模型

以混合物理论为基础，对血液模型进行了完整的热力学分析。该模型将血液视为血浆（液体成分）中的红细胞（固体成分）悬浮液，并考虑了温度效应。此外，还引入了两个独立的标量内部变量，以考虑额外的耗散效应。利用克劳修斯-杜恒不等式，推导出一般热力学限制和剩余耗散不等式。通过扩展的科尔曼-诺尔程序评估了热力学第二定律的热力学可接受性；在一个空间维度上，我们展示了所有热力学约束条件的解决方案。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Meccanica 物理-力学

CiteScore

4.70

自引率

3.70%

发文量

151

审稿时长

7 months

期刊介绍： Meccanica focuses on the methodological framework shared by mechanical scientists when addressing theoretical or applied problems. Original papers address various aspects of mechanical and mathematical modeling, of solution, as well as of analysis of system behavior. The journal explores fundamental and applications issues in established areas of mechanics research as well as in emerging fields; contemporary research on general mechanics, solid and structural mechanics, fluid mechanics, and mechanics of machines; interdisciplinary fields between mechanics and other mathematical and engineering sciences; interaction of mechanics with dynamical systems, advanced materials, control and computation; electromechanics; biomechanics. Articles include full length papers; topical overviews; brief notes; discussions and comments on published papers; book reviews; and an international calendar of conferences. Meccanica, the official journal of the Italian Association of Theoretical and Applied Mechanics, was established in 1966.