Constitutive models for linear compressible viscoelastic flows of simple liquids at nanometer length scales

DOI10.1063/1.4919620zbMath1326.76006OpenAlexW257023618MaRDI QIDQ3456924

John E. Sader, Debadi Chakraborty

Publication date: 10 December 2015

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4919620

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Viscoelastic fluids (76A10)

Related Items (22)

Compressible Navier-Stokes equations with revised Maxwell's law ⋮ Structural stability of a 1D compressible viscoelastic fluid model ⋮ Formation of singularities for one-dimensional relaxed compressible Navier-Stokes equations ⋮ The relaxation limit for full compressible magnetohydrodynamic flows with the Maxwell law ⋮ Linear stability of viscous shock wave for 1-D compressible Navier-Stokes equations with Maxwell’s law ⋮ Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type I ⋮ Hyperbolic compressible Navier-Stokes equations ⋮ Blowup of solutions for compressible Navier-Stokes equations with revised Maxwell's law ⋮ Construction of boundary conditions for hyperbolic relaxation approximations II: Jin-Xin relaxation model ⋮ Global Existence Versus Blow-Up for Multidimensional Hyperbolized Compressible Navier–Stokes Equations ⋮ Asymptotic stability of rarefaction waves for hyperbolized compressible Navier-Stokes equations ⋮ The low Mach number limit for isentropic compressible Navier-Stokes equations with a revised Maxwell's law ⋮ On the importance of modified continuum mechanics to predict the vibration of an embedded nanosphere in fluid ⋮ Lie group analysis and similarity solution for fractional Blasius flow ⋮ Construction of boundary conditions for hyperbolic relaxation approximations I: The linearized Suliciu model ⋮ A note on the spheroidal modes vibration of an elastic sphere in linear viscoelastic fluid ⋮ Shock waves of viscoelastic Burgers equations ⋮ Low Mach number limit of full compressible Navier-Stokes equations with revised Maxwell law ⋮ Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type II ⋮ Three-dimensional vibrations of multilayered hollow spheres submerged in a complex fluid ⋮ Intrinsic properties of conservation-dissipation formalism of irreversible thermodynamics ⋮ Remarks on blowup of solutions for compressible Navier-Stokes equations with revised Maxwell's law

Uses Software

• COMSOL

Cites Work

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• Newtonian limit of Maxwell fluid flows
• Stability analysis using compressible viscoelastic formulation
• Remarks concerning compressible viscoelastic fluid models
• Perturbation solution of Poiseuille flow of a weakly compressible Oldroyd-B fluid
• Numerical simulation of compressible viscoelastic liquids
• The drag on a microcantilever oscillating near a wall
• Bubble collapse in compressible fluids using a spectral element marker particle method. Part 2. Viscoelastic fluids
• On the bulk viscosity of suspensions

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