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Abstract <p>A set of rheological equations based on structural-kinetic representations has been presented to describe viscous and elastic properties of structured liquids, namely, concentrated suspensions, emulsions, micellar solutions, and polymer solutions and melts. The structural model equations are valid for equilibrium stationary and equilibrium oscillating flows. The equations are suitable for approximating <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10595_2025_8627_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="33" /> </InlineMediaObject> <EquationSource Format="TEX">\(\tau (\dot {\gamma })\)</EquationSource> <!--CollJour2460122Matveenko-m1--> </InlineEquation>, <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10595_2025_8627_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="TEX">\({{N}_{1}}(\dot {\gamma })\)</EquationSource> <!--CollJour2460122Matveenko-m2--> </InlineEquation>, <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10595_2025_8627_Article_IEq3.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="46" /> </InlineMediaObject> <EquationSource Format="TEX">\(G{\kern 1pt} ^{"}(\omega )\)</EquationSource> <!--CollJour2460122Matveenko-m3--> </InlineEquation>, and <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10595_2025_8627_Article_IEq4.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="TEX">\(G{\kern 1pt} '(\omega )\)</EquationSource> <!--CollJour2460122Matveenko-m4--> </InlineEquation> rheological curves in some intervals of shear rates or oscillation frequencies, with each interval corresponding to a certain state of a structure. The results of approximating shear viscosity curves for a polymer solution, a micellar solution, and an emulsion are presented as examples.</p>

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Rheology of Structured Liquids. Flow Regimes and Rheological Equations

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • V. N. Matveenko,
  • E. A. Kirsanov

摘要

Abstract

A set of rheological equations based on structural-kinetic representations has been presented to describe viscous and elastic properties of structured liquids, namely, concentrated suspensions, emulsions, micellar solutions, and polymer solutions and melts. The structural model equations are valid for equilibrium stationary and equilibrium oscillating flows. The equations are suitable for approximating \(\tau (\dot {\gamma })\) , \({{N}_{1}}(\dot {\gamma })\) , \(G{\kern 1pt} ^{"}(\omega )\) , and \(G{\kern 1pt} '(\omega )\) rheological curves in some intervals of shear rates or oscillation frequencies, with each interval corresponding to a certain state of a structure. The results of approximating shear viscosity curves for a polymer solution, a micellar solution, and an emulsion are presented as examples.