SURFACE FLOW OF VISCOELASTIC MEMBRANES IN VISCOUS FLUIDS

DOI10.1093/qjmam/35.2.233zbMath0486.76130OpenAlexW2042092778MaRDI QIDQ3947406

Richard Skalak, Timothy W. Secomb

Publication date: 1982

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/35.2.233

zbMATH Keywords

kinematicsdynamicsarea-conserving membraneexistence of stream functionglobal Cartesian coordinatesminimum dissipation principlesmotion of red blood cellsmotion of viscoelastic membraneshear corresponding to Kelvin model

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Viscoelastic fluids (76A10) Stokes and related (Oseen, etc.) flows (76D07) Physiological flows (76Z05)

Related Items (15)

Velocity distribution on the membrane of a tank-treading red blood cell ⋮ Hydrodynamic flows on curved surfaces: spectral numerical methods for radial manifold shapes ⋮ A finite element method for viscous membranes ⋮ Approximation of tensor fields on surfaces of arbitrary topology based on local Monge parametrizations ⋮ Variational formulations for surface tension, capillarity and wetting ⋮ Electrohydrodynamic effects on the deformation and orientation of a liquid capsule in a linear flow ⋮ Discrete Exterior Calculus (DEC) for the Surface Navier-Stokes Equation ⋮ Interfacial dynamics for Stokes flow. ⋮ Axisymmetric boundary element method for vesicles in a capillary ⋮ Mechanics of lipid membranes under the influence of intramembrane viscosity ⋮ Influence of surface viscosity on droplets in shear flow ⋮ Deformation analysis of nonuniform lipid membrane subjected to local inflammations ⋮ Modelling fluid deformable surfaces with an emphasis on biological interfaces ⋮ A theoretical investigation of the frisbee motion of red blood cells in shear flow ⋮ The Interplay of Curvature and Vortices in Flow on Curved Surfaces

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