Modal stability and Squire's theorem for an inhomogeneous viscoelastic suspension

DOI10.1016/J.EUROMECHFLU.2021.05.002zbMath1493.76040OpenAlexW3163235076MaRDI QIDQ2056000

Lorenzo Fusi, Antonio Giovinetto

Publication date: 1 December 2021

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2021.05.002

zbMATH Keywords

eigenvalue problemPoiseuille flowneutral stability curvespectral collocation methodlinearized stability analysisdense suspensionviscoelastic upper convected Maxwell fluid

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Spectral methods applied to problems in fluid mechanics (76M22) Suspensions (76T20) Parallel shear flows in hydrodynamic stability (76E05)

Cites Work

• The stress in a dilute suspension of spheres suspended in a second-order fluid subject to a linear velocity field
• Stability and transition in shear flows
• Applicability of the squire transformation in linearized problems on shear stability
• Linear stability analysis of channel flow of viscoelastic Oldroyd-B and FENE-P fluids
• FLUID MECHANICS AND RHEOLOGY OF DENSE SUSPENSIONS
• On the effective viscosity of pseudoplastic suspensions
• Stability analysis of a shear flow with strongly stratified viscosity
• The non-Newtonian rheology of dilute colloidal suspensions
• Stability of a Relaxation-Type Viscoelastic Fluid with Slight Elasticity
• Stability of plane Poiseuille flow of a highly elastic liquid

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