Investigation of the hydrodynamic stability of a flow in the porous medium based on the renormalization group method

TitleInvestigation of the hydrodynamic stability of a flow in the porous medium based on the renormalization group method
Publication TypeJournal Article
Year of Publication2016
AuthorsAvramenko, AA, Dmytrenko, NP, Tyrinov, AI
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2016.01.047
Issue1
SectionHeat Physics
Pagination47-56
Date Published1/2016
LanguageRussian
Abstract

Using the renormalization group method, the advanced microscopic turbulence model for porous media is developed. Based on this model, an expression for the effective kinematic viscosity with accounting the porosity is derived. The nonlinear characteristics of the transition from the laminar flow to the turbulent one, namely, the critical values of Darcy number and porosity, are obtained.
Keywordsinstability, mathematical model, porosity, renormalization analysis, turbulence
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