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.
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