This article is cited in 1 scientific paper (total in 1 paper)
Statistical theory of viscoelastic properties of fluids
F. M. Kuni
Mori's method of projection operators is used to derive equations for the mass density, momentum density, and momentum-current density. By means of Bogolyubov's condition of
correlation weakening, averaged equations (in the linear approximation in the amplitude deviations from equilibrium) of causal-retarded nature are obtained. Unlike the previously known
equations, space and time dispersiou are taken into account in these equations completely.
Symmetry relations are established for the transport coefficients. It is shown that if space
and time dispersion are ignored, the equations go over into the usual Maxwell theologic
equations for the stress-tensor deviator and the relaxation pressure. Rigorous microscopic
expressions are obtained for the times of shear relaxation and pressure relaxation;
these differ from the ones found previously by nonrigorous application of the Chapman–Enskog procedure for the elimination of the time derivatives. Rigorous microscopic expressions
are also obtained for the shear and bulk moduli of viscous fluids.
PDF file (2125 kB)
Theoretical and Mathematical Physics, 1974, 21:2, 1105–1115
F. M. Kuni, “Statistical theory of viscoelastic properties of fluids”, TMF, 21:2 (1974), 233–246; Theoret. and Math. Phys., 21:2 (1974), 1105–1115
Citation in format AMSBIB
\paper Statistical theory of viscoelastic properties of fluids
\jour Theoret. and Math. Phys.
Citing articles on Google Scholar:
Related articles on Google Scholar:
This publication is cited in the following articles:
Yu. V. Gurikov, “Generalized hydrodynamics of a van der Waals liquid”, Theoret. and Math. Phys., 28:2 (1976), 764–772
|Number of views:|