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| Naji, M. |
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| Motta, Antonella |
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| Aletan, Dirar |
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| Mohamed, Tarek |
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| Ertürk, Emre |
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| Taccardi, Nicola |
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| Kononenko, Denys |
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| Petrov, R. H. | Madrid |
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| Alshaaer, Mazen | Brussels |
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| Bih, L. |
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| Casati, R. |
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| Muller, Hermance |
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| Kočí, Jan | Prague |
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| Šuljagić, Marija |
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| Kalteremidou, Kalliopi-Artemi | Brussels |
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| Azam, Siraj |
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| Ospanova, Alyiya |
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| Blanpain, Bart |
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| Ali, M. A. |
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| Popa, V. |
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| Rančić, M. |
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| Ollier, Nadège |
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| Azevedo, Nuno Monteiro |
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| Landes, Michael |
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| Rignanese, Gian-Marco |
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Kumar, Satish
in Cooperation with on an Cooperation-Score of 37%
Topics
Publications (21/21 displayed)
- 2024MAX Phase Ti<sub>2</sub>AlN for HfO<sub>2</sub> Memristors with Ultra‐Low Reset Current Density and Large On/Off Ratiocitations
- 2024Multi-Objective Optimization of Friction Stir Processing Tool with Composite Material Parameters
- 2023Photochemically Induced Marangoni Patterning of Polymer Bilayers
- 2023Wear performance analysis of B<sub>4</sub>C and graphene particles reinforced Al–Cu alloy based composites using Taguchi methodcitations
- 2023Evolution of flow reversal and flow heterogeneities in high elasticity wormlike micelles (WLMs) with a yield stresscitations
- 2022SURFACE EROSION PERFORMANCE OF YTTRIUM OXIDE BLENDED WC-12CO THERMALLY SPRAYED COATING FOR MILD STEELcitations
- 2022Controlling Surface Deformation and Feature Aspect Ratio in Photochemically Induced Marangoni Patterning of Polymer Filmscitations
- 2021Criteria Governing Rod Formation and Growth in Nonionic Polymer Micellescitations
- 2021Achieving Stable Patterns in Multicomponent Polymer Thin Films Using Marangoni and van der Waals Forcescitations
- 2021Study on Solid Particle Erosion of Pump Materials by Fly Ash Slurry using Taguchi’s Orthogonal Arraycitations
- 2020Self-aligned capillarity-assisted printing of high aspect ratio flexible metal conductorscitations
- 2019Dynamic wetting failure in curtain coatingcitations
- 2017Droplet wetting transitions on inclined substrates in the presence of external shear and substrate permeabilitycitations
- 2016Dynamic wetting failure and hydrodynamic assist in curtain coatingcitations
- 2015Combined thermal and electrohydrodynamic patterning of thin liquid filmscitations
- 2011Highly conducting and flexible few-walled carbon nanotube thin filmcitations
- 2010Meltblown fiberscitations
- 2010Transient growth without inertiacitations
- 2010Transient response of velocity fluctuations in inertialess channel flows of viscoelastic fluids
- 2004Instability of viscoelastic plane Couette flow past a deformable wallcitations
- 2000Shear banding and secondary flow in viscoelastic fluids between a cone and platecitations
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article
Instability of viscoelastic plane Couette flow past a deformable wall
Abstract
<p>The stability of plane Couette flow of an upper-convected Maxwell (UCM) fluid of thickness R, viscosity η and relaxation time τ<sub>R</sub> past a deformable wall (modeled here as a linear viscoelastic solid fixed to a rigid plate) of thickness HR, shear modulus G and viscosity η<sub>w</sub> is determined using a temporal linear stability analysis in the creeping-flow regime where the inertia of the fluid and the wall is negligible. The effect of wall elasticity on the stable modes of Gorodtsov and Leonov [J. Appl. Math. Mech. 31 (1967) 310] for Couette flow of a UCM fluid past a rigid wall, and the effect of fluid elasticity on the unstable modes of Kumaran et al. [J. Phys. II (Fr.) 4 (1994) 893] for Couette flow of a Newtonian fluid past a deformable wall are analyzed. Results of our analysis show that there is only one unstable mode at finite values of the Weissenberg number, W=τ<sub>R</sub>V/R (where V is the velocity of the top plate) and nondimensional wall elasticity, Γ=Vη/(GR). In the rigid wall limit, Γ≪1 and at finite W this mode becomes stable and reduces to the stable mode of Gorodtsov and Leonov. In the Newtonian fluid limit, W→0 and at finite Γ this mode reduces to the unstable mode of Kumaran et al. The variation of the critical velocity, Γ<sub>c</sub>, required for this instability as a function of W̄=τ<sub>R</sub>G/η (a modified Weissenberg number) shows that the instability exists in a finite region in the Γ <sub>c</sub>-W̄ plane when Γ<sub>c</sub>>Γ <sub>c,Newt</sub> and W̄<W̄<sub>max</sub>, where Γ<sub>c,Newt</sub> is the value of the critical velocity for a Newtonian fluid. The variation of Γ<sub>c</sub> with W̄ for various values of H are shown to collapse onto a single master curve when plotted as Γ<sub>c</sub>H versus W̄/H, for H≫1. The effect of wall viscosity is analyzed and is shown to have a stabilizing effect.</p>