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Irreversible Processes in Compressible Fluids - A New Approach to Nonequilibrium Phenomena -

机译:可压缩流体中的不可逆过程-非平衡现象的新方法-

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摘要

On the basis of Gibbs-Falkian thermodynamics an Alternative Continuum Theory of compressible fluids (AT) is set up which contains motion, irreversibility, and non-equilibrium states as constitutive elements. From a Gibbs's Main Equation as the mathematical model describing the behaviour in the phase space of a real physical system, a highly complex set of partial differential equations is obtained which in future may yield quite new views on turbulence and combustion phenomena, making use of only few principles. Subject of this paper are some provisional items of the precise theory. For comparison its theoretical background may be used to assess some well-known concepts of convetnional fluid dynamics. Furthermore, complex flow patterns can be studied with respect to available experimental data. Two systems of simpler structure, here called the Original and the Modified Nehring Equations (ONG and MNG), can be derived by the AT allowing exact and numerical solutions for various standard flow situations. Thus, the physical constraints and defects of the Navier-Stokes-Fourier Fluid, usually hidden in the traditional derivation, are clarified by this specialization.
机译:在吉布斯-福尔柯热力学的基础上,建立了可压缩流体(AT)的替代连续体理论,该理论包含运动,不可逆性和非平衡态作为本构元素。从吉布斯的主方程作为描述实际物理系统相空间中行为的数学模型,可以得到一组高度复杂的偏微分方程,将来可能会产生关于湍流和燃烧现象的全新观点,仅使用几个原则。本文的主题是精确理论的一些临时项目。为了进行比较,其理论背景可用于评估一些令人信服的流体动力学概念。此外,可以根据可用的实验数据研究复杂的流型。通过AT可以导出两个结构更简单的系统,这里称为原始和改进的Nehring方程(ONG和MNG),从而可以为各种标准流量情况提供精确和数值的解决方案。因此,通过这种专业化,通常隐藏在传统推导中的Navier-Stokes-Fourier流体的物理约束和缺陷得以澄清。

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