Abstract
Some options of coupling filtration models are suggested using irreversible state equations in differential form. State equations include explicitly the coefficient of compressibility, coefficients of concentration expansion and other physical properties affecting rheological properties and composition. To construct the models, the improvement of thermodynamic relations is used. New physical factors are introduced with the help of new thermodynamic variables. The chemical viscosity, pressure diffusion and concentration expansion phenomena are taken into account. The simplest particular problems illustrating the role of new effects are distinguished for stationary filtration regime. The revealed nonlinear effects can be important when considering biology liquid flows in porous biomaterials where deviations from classical laws are possible.
| Original language | English |
|---|---|
| Article number | 012036 |
| Journal | Journal of Physics: Conference Series |
| Volume | 1128 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 7 Dec 2018 |
| Event | 3rd All-Russian Scientific Conference Thermophysics and Physical Hydrodynamics with the School for Young Scientists, TPH 2018 - Yalta, Crimea, Ukraine Duration: 10 Sep 2018 → 16 Sep 2018 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Pressure diffusion and chemical viscosity in the filtration models with state equation in differential form. / Knyazeva, A. G.
In: Journal of Physics: Conference Series, Vol. 1128, No. 1, 012036, 07.12.2018.Research output: Contribution to journal › Conference article
}
TY - JOUR
T1 - Pressure diffusion and chemical viscosity in the filtration models with state equation in differential form
AU - Knyazeva, A. G.
PY - 2018/12/7
Y1 - 2018/12/7
N2 - Some options of coupling filtration models are suggested using irreversible state equations in differential form. State equations include explicitly the coefficient of compressibility, coefficients of concentration expansion and other physical properties affecting rheological properties and composition. To construct the models, the improvement of thermodynamic relations is used. New physical factors are introduced with the help of new thermodynamic variables. The chemical viscosity, pressure diffusion and concentration expansion phenomena are taken into account. The simplest particular problems illustrating the role of new effects are distinguished for stationary filtration regime. The revealed nonlinear effects can be important when considering biology liquid flows in porous biomaterials where deviations from classical laws are possible.
AB - Some options of coupling filtration models are suggested using irreversible state equations in differential form. State equations include explicitly the coefficient of compressibility, coefficients of concentration expansion and other physical properties affecting rheological properties and composition. To construct the models, the improvement of thermodynamic relations is used. New physical factors are introduced with the help of new thermodynamic variables. The chemical viscosity, pressure diffusion and concentration expansion phenomena are taken into account. The simplest particular problems illustrating the role of new effects are distinguished for stationary filtration regime. The revealed nonlinear effects can be important when considering biology liquid flows in porous biomaterials where deviations from classical laws are possible.
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U2 - 10.1088/1742-6596/1128/1/012036
DO - 10.1088/1742-6596/1128/1/012036
M3 - Conference article
VL - 1128
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 1
M1 - 012036
ER -