Pressure diffusion and chemical viscosity in the filtration models with state equation in differential form

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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 languageEnglish
Article number012036
JournalJournal of Physics: Conference Series
Volume1128
Issue number1
DOIs
Publication statusPublished - 7 Dec 2018
Event3rd All-Russian Scientific Conference Thermophysics and Physical Hydrodynamics with the School for Young Scientists, TPH 2018 - Yalta, Crimea, Ukraine
Duration: 10 Sep 201816 Sep 2018

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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