Carène liquide

vignette|Exemple de carène liquide La carène liquide désigne un volume de liquide représentant une masse significative susceptible de se déplacer dans la coque d'un bateau en cas de gîte ce qui peut accentuer celle-ci et entraîner éventuellement le chavirage du navire. Cet effet de carène liquide peut être combattu lors de la conception d'un navire par le cloisonnement des compartiments contenant les liquides empêchant le déplacement de ceux-ci. Ainsi plus la masse est excentrée par rapport à l'axe de rotation plus le moment dû au poids de la masse augmente, cela peut donc entraîner le chavirement du navire. A contrario, la carène liquide peut avoir un effet positif dans le cas d'un chavirage total d'un voilier mât vers le bas. La stabilité est alors négative. Le bateau ne pourra se redresser que lorsqu'il atteindra de nouveau une stabilité positive (aux alentours de 130°). Ce ne sera possible que sous la conjugaison d'une vague assez forte, et de l'effet de carène liquide produit pa

From coating flow patterns to porous body wake dynamics via multiscale models

Pier Giuseppe Ledda

Multiscale phenomena are involved in countless problems in fluid mechanics. Coating flows are known to exhibit a broad variety of patterns, such as wine tears in a glass and dripping of fresh paint applied on a wall. Coating flows are typically modeled under the assumption that the thickness of the fluid layer is much smaller than the characteristic length of the free-surface deformations, i.e. there is a separation of scales between the microscopic variations of the velocity and pressure field along the thin layer and the macroscopic modulations of the free-surface. A different multiscale phenomenon of undeniable interest in the fluid dynamics community is the flow around and through porous objects. Dandelion seeds are transported by the wind thanks to a hairy structure, called pappus, known to present larger values of the aerodynamic drag and a more stable wake compared to an impervious disk in the same flow conditions.This thesis investigates the pattern formation of several coating flows and the wake dynamics past diverse permeable bodies via multiscale models. We initially consider the flow of a thin viscous film underneath an inclined planar substrate. We show the emergence of free-surface structures modulated along the direction transversal to the main flow, called rivulets. These rivulets result from a pure equilibrium between hydrostatic gravity and surface tension effects, and may destabilize with the formation of traveling drops. We determine via a linear stability analysis the critical values of the inclination angle and film thickness beyond which rivulets destabilize. We numerically study the linear and non-linear response with respect to a harmonic forcing in the inlet flow rate, determining the diverse lenses' patterns emerging on a steady rivulet. The dripping problem is deepened by considering a single drop deposited on a very thin film. Very slight inclinations with respect to the horizontal, of the order of degrees, lead to the formation of a rivulet in the wake of a shrinking drop. Subsequently, we investigate the role of these instabilities in karst draperies formation, by coupling the hydrodynamic model with the deposition of calcium carbonate on the substrate. We implement an algorithm which retrieves the asymptotic properties of the two-dimensional linear impulse response from numerical simulations. The analysis shows the predominance of streamwise structures, reminiscent of draperies, growing on the substrate. The role of modifications of the substrate is then investigated in the cases of dewetting of very thin polymer films, in the context of production of optical metasurfaces, and in the case of three-dimensional spreading of a mass of fluid. The last part of the thesis is devoted to the modifications of wake flows instabilities past bluff bodies when composed of a permeable microstructure, with a focus on the case of a porous sphere and a cylindrical circular membrane. We develop an inverse procedure to optimize and retrieve the microstructure based on flow objectives. The analysis is concluded by studying the path instability of a freely-falling permeable disk. A complex series of bifurcations occurs but, as the ratio between voids and solid structure increases, all wake and path instabilities are damped.

EPFL2022

From coating flow patterns to porous body wake dynamics via multiscale models

Pier Giuseppe Ledda

EPFL2022

Free surface effects in TEM imaging of dislocation lines and loops in Fe

From coating flow patterns to porous body wake dynamics via multiscale models

From coating flow patterns to porous body wake dynamics via multiscale models

Free surface effects in TEM imaging of dislocation lines and loops in Fe