Instability of gravity-driven free-surface flow past a deformable elastic solid

DOI10.1063/1.2187052zbMath1185.76605OpenAlexW2046542094MaRDI QIDQ5756013

Satish Kumar, Vasileios Gkanis

Publication date: 15 August 2007

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

Full work available at URL: https://doi.org/10.1063/1.2187052

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items (5)

Weakly nonlinear stability analysis of a flow past a neo-Hookean solid at arbitrary Reynolds numbers ⋮ Stability of fluid flow through deformable neo-Hookean tubes ⋮ Effect of wall deformability on the stability of shear-imposed film flow past an inclined plane ⋮ Stability of falling liquid films on flexible substrates ⋮ Stability of gravity-driven free-surface flow past a deformable solid at zero and finite Reynolds number

Cites Work

• Instability of viscoelastic plane Couette flow past a deformable wall
• Stability of the interface in two-layer Couette flow of upper convected Maxwell liquids
• Numerical solution of eigenvalue problems using spectral techniques
• Stability of two-layer viscoelastic plane Couette flow past a deformable solid layer
• Large growth rate instabilities in three-layer flow down an incline in the limit of zero Reynolds number
• Instability of creeping Couette flow past a neo-Hookean solid
• Inertialess instability of a two-layer liquid film flow
• Stability of two-layer Newtonian plane Couette flow past a deformable solid layer
• Experimental study of the instability of the viscous flow past a flexible surface
• Long-wavelength instabilities in three-layer flow down an incline
• Wave Motion in Multilayered Liquid Films
• Gravity-driven creeping flow of two adjacent layers through a channel and down a plane wall
• Wave formation in the gravity-driven low-Reynolds number flow of two liquid films down an inclined plane
• Stability of pressure-driven creeping flows in channels lined with a nonlinear elastic solid
• The effect of viscosity stratification on the stability of a free surface flow at low Reynolds number
• Stability of the viscous flow of a fluid through a flexible tube
• Low-Reynolds-number instabilities in three-layer flow down an inclined wall
• Stability of Liquid Flow down an Inclined Plane

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