We were unable to verify the existence of ion mobility discontinuities in either superfluid helium at 1 K or liquid nitrogen. The velocity-field dependence in helium was described by an increased interaction with the normal fluid, due to an increase in the roton number density close to the ion surface. The mobility results in nitrogen were interpreted as being due to liquid motion, following a theory by Kopylov. The D.C. results showed that the effect of a grid on the transmission of an ion beam could be described by a field dependent grid transmission coefficient, independent of the ion velocity. The vortex ring transmission through a grid was a complex function of vorticity being captured by the grid, the capture and escape probabilities of the bare ions by vorticity, and the onset for vorticity propagating throughout the ion cell.

published_or_final_version / Mechanical Engineering / Doctoral / Doctor of Philosophy

published_or_final_version / abstract / Mechanical Engineering / Master / Master of Philosophy

Parmi les différents mécanismes physiques permettant d'actionner des échantillons liquides au sein de labopuces, l'électromouillage sur diélectrique (EWOD) s'impose peu à peu comme une solution fiable permettant de manipuler en particulier des gouttes (labopuces digitaux). Bien que des modèles énergétiques permettent d'expliquer la plupart des fonctions fluidiques élémentaires obtenues par effet EWOD, il demeure certains phénomènes hydrodynamiques en goutte dont la compréhension à l'échelle locale présente des enjeux en termes scientifiques et applicatifs. En particulier, la maîtrise des oscillations de goutte et des écoulements électrohydrodynamiques induits par des signaux électriques alternatifs (AC-EWOD) pourrait permettre l'insertion de nouvelles fonctions dans les labopuces digitaux (brassage, séparation d'espèces). Dans la thèse proposée, une configuration optimale a été retenue consistant en une goutte reposant sur deux électrodes coplanaires passivées. Un banc de caractérisation a été développé ainsi que des logiciels spécifiques dédiés à l'analyse du mouillage et des oscillations de la goutte. Une première étude permet de caractériser l'électromouillage d'une goutte en configuration d'électrodes coplanaires. En particulier, la modélisation des contraintes électriques surfaciques permet de conclure sur leurs rôles dans l'injection normale et tangentielle de quantité de mouvement. Les oscillations de la goutte et les écoulements induits sont ensuite étudiés de manière expérimentale. Suivant la géométrie des électrodes, des configurations d'écoulements axisymétriques et quadripolaires sont observées. Un modèle basé sur le concept de courant de dérive est développé ; sa résolution numérique par éléments finis permet de retrouver les configurations d'écoulement. Des applications biologiques de l'actuation EWOD en signal alternatif sont finalement proposées et discutées pour le développement de laboratoires sur puces.

Experiment shows that the steady axisymmetric flow past a sphere becomes unstable in the range 120 < Re < 300. The resulting time-dependent nonaxisymmetric flow gives rise to nonaxisymmetric vortex shedding at higher Reynolds numbers. The present work reports a computational investigation of the linear stability of the axisymmetric base flow. When the sphere is towed, fixed, or otherwise constrained, stability is determined solely by the Reynolds number. On the other hand, when the sphere falls due to gravity, the present work shows that a additional parameter, the ratio of fluid density to sphere density (β = ρ(f)/ρ(s)) is involved. We use a spectral technique to compute the steady axisymmetric flow, which is in closer agreement with experiment than previous calculations. We then perform a linear stability analysis of the base flow with respect to axisymmetric and nonaxisymmetric disturbances. A spectral technique similar to that employed in the base flow calculation is used to solve the linear disturbance equations in streamfunction form for axisymmetric disturbances, and in a modified primitive variable form for nonaxisymmetric disturbances. For the density ratio β = 0, which corresponds to a fixed sphere, the analysis shows that the axisymmetric base flow undergoes a Hopf bifurcation at Re = 175.1, with the critical disturbance having azimuthal wavenumber m = 1. The results are favorably compared to previous experimental work.

No description available.

Numerical simulations are presented for three dimensional viscous incompressible free shear flows. The numerical method is based on solving the vorticity equation using Vortex-In-Cell method. In this method, the vorticity field is discretized into a finite set of Lagrangian elements (particles) and the computational domain is covered by Eulerian mesh. Velocity field is computed on the mesh by solving Poisson equation. The solution proceeds in time by advecting the particles with the flow. Second order Adam-Bashford method is used for time integration. Exchange of information between Lagrangian particles and Eulerian grid is carried out using the M’4 interpolation scheme. The classical inviscid scheme is enhanced to account for stretching and viscous effects. For that matter, two schemes are used. The first one used periodic remeshing of the vortex particles along with fourth order finite difference approximation for the partial derivatives of the stretching and viscous terms. In the second scheme, derivatives are approximated by least squares polynomial. The novelty of this work is signified by using the moving least squares technique within the framework of the Vortex-in-Cell method and implementing it to a three dimensional temporal mixing layer. Comparisons of the mean flow and velocity statistics are made with experimental studies. The results confirm the validity of the present schemes. Both schemes also demonstrate capability to qualitatively capture significant flow scales, and allow gaining physical insight as to the development of instabilities and the formation of three dimensional vortex structures. The two schemes show acceptable low numerical diffusion as well.

Mémoire numérisé par la Direction des bibliothèques de l'Université de Montréal.

Scouring is the process of soil or sediment erosion due to flowing water, which can lead to bed degradation and compromised transportation infrastructure. In the decade before 2000, over half of the 500 bridge failures in the United States were caused by flooding or scouring. To gain a better grasp of the effects of extreme weather events, such as Tropical Storm Irene, on the scouring process, this work is focused on a first principle understanding of the mechanism(s) of scour. The field of Computational Fluid Dynamics (CFD) is particu larly well suited to this task. Utilizing a Direct Numerical Simulation (DNS) code, the repeated impacts of a vortex dipole on a particle bed are simulated. The resulting scour characteristics and flow dynamics are investigated as a function of the Shields number. The vortex dipole propagates perpendicularly to the particle bed, resulting in the scouring of the bed and dissipation of the dipole. After completion of the scour event, the simulation is repeated four more times, where subsequent simulations use the scoured bed from the previous simulation as the initial bed form. This simulation series is conducted over a Shields number parameter space. The fluid phase is treated as a continuum and the discretized Navier-Stokes equations are solved down to the smallest scales of the flow on an Eulerian grid. The particles comprising the bed are represented by the Discrete Particle Model (DPM), whereby each individual particle is tracked in a Lagrangian framework. Particle-particle and particle-wall collisions are calculated using a soft-sphere model. The fluid phase and the solid phase are coupled through a forcing term in the fluid conservation of momentum equation, and a drag force in the particle equation of motion, governed by Newton's Second Law. Above the critical Shields number, the scour hole topography is not fundamentally altered with subsequent impacts until the scale of the scour hole reaches a critical value. At which point, the shape and scale of the scour hole significantly alters the behavior of the vortex dipole and results in strongly asymmetric scour topographies. This two-way coupling between the bed scour and the vortex dipole dynamics is the focus of this work.

The purpose of this study was to determine the number of rotations to fracture (cyclic fatigue) of the Profile® Vortex™ files (Dentsply Tulsa Dental Specialties, Tulsa, OK) compared to the EndoSequence™ files (Brasseler USA, Savannah, GA) using an in-vitro apparatus simulating a curved canal. Two hundred Profile® Vortex™ files of 25mm length were divided equally into ten groups, one for each of the Profile® Vortex™ files 20/0.04, 20/0.06, 25/0.04, 25/0.06, 30/0.04, 30/0.06, 35/0.04, 35/0.06, 40/0.04, and 40/0.06. Two hundred EndoSequence™ files of 25mm length were divided equally into ten groups of the same tip and taper sizes analogous to the Profile® Vortex™ file groups. Files were rotated at 500 rpm in a fixed groove in the metal block of the apparatus. The angle of deflection for all files was fixed at 33 degrees, determined using the Schneider method. The time from initiation of rotation to fracture was recorded and rotations to fracture were calculated. The data collected was analyzed using a multi-way ANOVA, followed by specific post-hoc contrasts comparing the two brands for each tip and taper combination. The results demonstrated that the Profile® Vortex™ files required significantly greater rotations to fracture than the EndoSequence™ (p < 0.001) in all tip sizes in both 0.04 and 0.06 tapers. Profile® Vortex™ files exhibited a greater resistance to cyclic fatigue than the EndoSequence™ files.