|
Teoreticheskaya i Matematicheskaya Fizika, 1973, Volume 16, Number 3, Pages 414–418
(Mi tmf3783)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
On the statistical derivation of hydrodynamic equations of grad type
V. A. Savchenko
Abstract:
Hydrodynamic equations corresponding to Grad's 13-moment approximation are derived in the
linear approximation in the departure from equilibrium. These equations are derived h the conditions that the mean values with respect to Zubarev's nonequilibrium ensemble be equal
to those with respect to the quasiequilibrium ensemble for the quantities that characterize the
state of the system, which is simpler than the ordinary method of averaging the equations of
motion. The theological relations that are obtained agree with the results of [2], and, under
the assumption that the momentum correlation time is much longer than the correlation time
of the coordinate functions, a relaxation equation is obtained for the density of the heat flux
that agrees with the corresponding equation obtained by Grad.
Received: 08.08.1972
Citation:
V. A. Savchenko, “On the statistical derivation of hydrodynamic equations of grad type”, TMF, 16:3 (1973), 414–418; Theoret. and Math. Phys., 16:3 (1973), 935–938
Linking options:
https://www.mathnet.ru/eng/tmf3783 https://www.mathnet.ru/eng/tmf/v16/i3/p414
|
Statistics & downloads: |
Abstract page: | 221 | Full-text PDF : | 79 | References: | 35 | First page: | 1 |
|