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Dynamics of a flexible helical filament rotating in a viscous fluid near a rigid boundary

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The emplacement of magmatic intrusions in the earth’s crust has been investigated for decades. The driving mechanism is the density difference between the fluid and the rock. In the absence of heterogeneities, this difference creates a constant buoyancy fo ...
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We analytically derive an amplitude equation for the weakly nonlinear evolution of the linearly most amplified response of a non-normal dynamical system. The development generalizes the method proposed in Ducimetière et al. (J. Fluid Mech., vol. 947, 2022, ...
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Mixing-length models are often used by engineers in order to take into account turbulence phenomena in a flow. This kind of model is obtained by adding a turbulent viscosity to the laminar one in Navier-Stokes equations. When the flow is confined between t ...
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Metallic aluminium plays a key role in our modern economy. Primary metallic aluminium is produced by the transformation of aluminium oxide using the Hall-Héroult industrial process. This process, which requires enormous quantities of energy, consists in pe ...
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