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.
Highlights
Many biology objects are the composites with complex structure of porous space
Artificial media synthesized for catalysis and chemical technology should be similar to natural objects [1]. This assumes that simulation of flows in porous natural and man-made biology objects should be based on the filtration laws
State equations define the connection between the pressure and other variables, and can be found based on experiment or irreversible thermodynamics
Summary
Many biology objects are the composites with complex structure of porous space. Artificial media synthesized for catalysis and chemical technology should be similar to natural objects [1]. M Ck t where Ck are mass concentrations, J k are diffusion fluxes, k are sources of species due to chemical reactions and mass exchange with solid skeleton; m –is porosity. State equations define the connection between the pressure and other variables, and can be found based on experiment or irreversible thermodynamics.
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