Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Effective coefficients viscosity of the liquid with solid particles. / Mishin, A. V.
19th International Conference on the Methods of Aerophysical Research, ICMAR 2018. ed. / Fomin. Vol. 2027 American Institute of Physics Inc., 2018. 030157 (AIP Conference Proceedings; Vol. 2027).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
}
TY - GEN
T1 - Effective coefficients viscosity of the liquid with solid particles
AU - Mishin, A. V.
PY - 2018/11/2
Y1 - 2018/11/2
N2 - The work is devoted to the theoretical analysis of viscous properties in heterogeneous media. The viscous term in the initial stochastic Stokes system is averaged. A number of averaging methods based on different mathematical principles are presented: statistical, variational method, self-consistency method. Their main provisions are indicated. The importance of the hypothesis about the body of comparison is shown. On its basis, the presented methods yield identical effective viscosity coefficients. Asymptotic expansions in terms of the phase parameters are performed, as a result of which the concepts of the carrier phase and the structural phase transition are manifested. A comparison with experiment is made.
AB - The work is devoted to the theoretical analysis of viscous properties in heterogeneous media. The viscous term in the initial stochastic Stokes system is averaged. A number of averaging methods based on different mathematical principles are presented: statistical, variational method, self-consistency method. Their main provisions are indicated. The importance of the hypothesis about the body of comparison is shown. On its basis, the presented methods yield identical effective viscosity coefficients. Asymptotic expansions in terms of the phase parameters are performed, as a result of which the concepts of the carrier phase and the structural phase transition are manifested. A comparison with experiment is made.
KW - CONDUCTIVITY
KW - SUSPENSIONS
UR - http://www.scopus.com/inward/record.url?scp=85056322196&partnerID=8YFLogxK
U2 - 10.1063/1.5065251
DO - 10.1063/1.5065251
M3 - Conference contribution
AN - SCOPUS:85056322196
VL - 2027
T3 - AIP Conference Proceedings
BT - 19th International Conference on the Methods of Aerophysical Research, ICMAR 2018
A2 - Fomin, null
PB - American Institute of Physics Inc.
T2 - 19th International Conference on the Methods of Aerophysical Research, ICMAR 2018
Y2 - 13 August 2018 through 19 August 2018
ER -
ID: 17411646