Generalized Boussinesq-Scriven surface fluid model with curvature dissipation for liquid surfaces and membranes

Journal of Colloid and Interface Science
Oscar F Aguilar GutierrezA D Rey

Abstract

Curvature dissipation is relevant in synthetic and biological processes, from fluctuations in semi-flexible polymer solutions, to buckling of liquid columns, tomembrane cell wall functioning. We present a micromechanical model of curvature dissipation relevant to fluid membranes and liquid surfaces based on a parallel surface parameterization and a stress constitutive equation appropriate for anisotropic fluids and fluid membranes.The derived model, aimed at high curvature and high rate of change of curvature in liquid surfaces and membranes, introduces additional viscous modes not included in the widely used 2D Boussinesq-Scriven rheological constitutive equation for surface fluids.The kinematic tensors that emerge from theparallel surface parameterization are the interfacial rate of deformation and the surface co-rotational Zaremba-Jaumann derivative of the curvature, which are used to classify all possibledissipative planar and non-planar modes. The curvature dissipation function that accounts for bending, torsion and twist rates is derived and analyzed under several constraints, including the important inextensional bending mode.A representative application of the curvature dissipation model to the periodic oscillation in n...Continue Reading

Citations

Jan 20, 2018·Annual Review of Food Science and Technology·Claire C Berton-CarabinKarin Schroën
Feb 3, 2018·Soft Matter·Oscar F Aguilar Gutierrez, Alejandro D Rey
Mar 1, 2019·Scientific Reports·Leonard M C SagisKarin Schroen

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