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Volumn 370, Issue 2, 2006, Pages 190-224

Fluid mechanics revisited

Author keywords

Fourier; GENERIC; Irreversible thermodynamics; Navier Stokes; Onsager

Indexed keywords

CONTINUUM MECHANICS; DIFFUSION; FRICTION; HEAT TRANSFER; NAVIER STOKES EQUATIONS; STATISTICAL MECHANICS; TRANSPORT PROPERTIES;

EID: 33748624874     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2006.03.066     Document Type: Article
Times cited : (97)

References (110)
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    • In earlier publications [2,3] we used the symbol over(m, ^) for the quantity here denoted by v.
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    • (reproduced in Leonhardi Euleri Opera Omnia, Series II, vol. 12, p. 54 (Füssli, Zürich, 1954)). Additional historical information can be found in the "Editor's Introduction" to the latter volume by C. Truesdell, "Rational fluid mechanics, 1687-1765," pp. VII-CXXV
    • Euler L. Mém. Acad. Sci. Berlin 11 (1755) 274 (reproduced in Leonhardi Euleri Opera Omnia, Series II, vol. 12, p. 54 (Füssli, Zürich, 1954)). Additional historical information can be found in the "Editor's Introduction" to the latter volume by C. Truesdell, "Rational fluid mechanics, 1687-1765," pp. VII-CXXV
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    • m [39]. This fact in conjunction with the continuity equation assures that no net mass crosses the surface of such a body at any point. However, this is a strictly macroscopic statement in the sense that individual molecules are nevertheless free to cross a material surface in either direction without violating this no-flux condition, provided only that in some time-average sense there are no large-scale variations in the number of molecules contained within the domain. Clearly, the material view has nothing to say about the role of such fluctuations in regard to their possible impact upon Newton's laws of motion, which apply strictly only to permanent collections of molecules.
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    • However, neither his work nor that of Klimontovich [28-30] touches upon the volume velocity-based no-slip boundary condition issue, which plays a prominent role in our unorthodox interpretation of the thermophoretic motion of macroscopic particles [1-3,5].
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    • note
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    • v in inhomogeneous multicomponent fluid mixtures, is well known in the irreversible thermodynamics literature [19,20].
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