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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
Places of action
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article
Transient growth without inertia
Abstract
<p>We study transient growth in inertialess plane Couette and Poiseuille flows of viscoelastic fluids. For streamwise-constant three-dimensional fluctuations, we demonstrate analytically the existence of initial conditions that lead to quadratic scaling of both the kinetic energy density and the elastic energy with the Weissenberg number, We. This shows that in strongly elastic channel flows of viscoelastic fluids, both velocity and polymer stress fluctuations can exhibit significant transient growth even in the absence of inertia. Our analysis identifies the spatial structure of the initial conditions (i.e., components of the polymer stress tensor at t=0) responsible for this large transient growth. Furthermore, we show that the fluctuations in streamwise velocity and the streamwise component of the polymer stress tensor achieve O(We) and O(We<sup>2</sup>) growth, respectively, over a time scale O(We) before eventual asymptotic decay. We also demonstrate that the large transient responses originate from the stretching of polymer stress fluctuations by a background shear and draw parallels between streamwise-constant inertial flows of Newtonian fluids and streamwise-constant creeping flows of viscoelastic fluids. One of the main messages of this paper is that at the level of velocity fluctuation dynamics, polymer stretching and the Weissenberg number in elasticity-dominated flows of viscoelastic fluids effectively assume the role of vortex tilting and the Reynolds number in inertia-dominated flows of Newtonian fluids.</p>