Approximate equations for the slow spreading of a thin sheet of Bingham plastic fluid

DOI10.1063/1.857821zbMath0703.76008OpenAlexW2057306121MaRDI QIDQ3482949

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Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.857821

zbMATH Keywords

non-Newtonian fluidBingham plasticmodified Bingham modelthin sheet of fluid mud

Mathematics Subject Classification ID

Viscoelastic fluids (76A10)

Related Items (17)

Time-dependent Poiseuille flows of visco-elasto-plastic fluids ⋮ Existence and features of similarity solutions for non-Boussinesq gravity currents ⋮ Homogenization of Bingham flow in thin porous media ⋮ Flow of a class of fluids defined via implicit constitutive equation down an inclined plane: analysis of the quasi-steady regime ⋮ The dam-break problem for Herschel-Bulkley viscoplastic fluids down steep flumes ⋮ Effect of permeability on the instability of a non-Newtonian film down a porous inclined plane ⋮ Onset and dynamic shallow flow of a viscoplastic fluid on a plane slope ⋮ Roll waves on a layer of a muddy fluid flowing down a gentle slope—A Bingham model ⋮ Augmented Lagrangian for shallow viscoplastic flow with topography ⋮ A new framework for shallow approximations of incompressible flows ⋮ Asymptotic analysis of a Bingham fluid in a thin T-like shaped structure ⋮ On the Flow of a Viscoplastic Fluid in a Thin Periodic Domain ⋮ Modeling dry granular mass flows as elasto-visco-hypoplastic continua with microstructural effects. I: thermodynamically consistent constitutive model ⋮ Long waves in shallow water over a layer of Bingham-plastic fluid-mud. II: Mathematical derivation of long wave equations ⋮ Spin-coating of a viscoplastic material ⋮ Asymptotic behaviour of a Bingham fluid in thin layers ⋮ On the Bingham flow in a thin Y-like shaped structure

Cites Work

• Viscous flows down an inclined plane: Instability and finger formation
• Wave formation in laminar flow down an inclined plane
• Long waves on a thin fluid layer flowing down an inclined plane
• Slow spreading of a sheet of Bingham fluid on an inclined plane
• Nonlinear Gravity Waves in a Thin Sheet of Viscous Fluid
• Long Waves on Liquid Films
• Stability of a Non-Newtonian Liquid Film Flowing down an Inclined Plane
• Stability of Liquid Flow down an Inclined Plane

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