Microfluidics is a constantly evolving area of research. The implementation of new technologies and fabrication processes offers novel methodologies to solve existing problems. There are currently a large number of established techniques to address issues associated with microscale mixing and valving. We present mixing and valving techniques that utilize simplified and inexpensive techniques. The first technique addresses issues associated with microscale mixing. Exercising control over animal locomotion is well known in the macro world but in the micro-scale world, control requires more sophistication. We present a method to artificially magnetize microorganisms and use external permanent magnets to control their motion in a microfluidic device. This effectively tethers the microorganisms to a location in the channel and controls where mixing occurs. We use the bulk and ciliary motion of the microswimmers to generate shear flows, thus enhancing cross-stream mixing by supplementing diffusion. The device is similar to an active mixer but requires no external power sources or artificial actuators. The second technique examines a methodology involving the integration of electroactive polymers into microfluidic devices. Under the influence of high applied voltages, electroactive polymers with fixed boundary conditions undergo out-of-plane deformation. We use this finding to create a valve capable blocking flow in microchannels. Electrolytic fluid solutions are used as electrodes to carry the voltage signal to the polymer surface. Currently we have demonstrated this methodology as a proof of concept, but aim to optimize our system to develop a robust microvalve technology. / Master of Science

Many microorganisms have the ability to propel themselves through their fluid environments by periodically actuating their body. The biological fluid environments surrounding these microswimmers are typically complex fluids containing many high-molecular weight protein molecules, which give the fluid non-Newtonian rheological properties. In this thesis, we investigate the effect that one such rheological property, viscoelasticity, has on microswimming. We consider a classical model of a microswimmer, the so-called Taylor's waving sheet and generalise it to arbitrary shapes. We employ the Oldroyd-B model to study its swimming analytically and numerically. We attempt to develop a mechanistic understanding of the swimmer's behaviour in viscoelastic fluids. It has recently been suggested that continuum models of complex biological fluids might not be appropriate for studying the swimming of flagellated microorganisms as the size of biological macromolecules is comparable to the typical width of a microorganism's flagellum. A part of this thesis is devoted to exploring this scenario. We propose an alternative method for modelling complex fluids using a two-fluid depletion region model and we have developed a numerical solver to find the swimming speed and rate of work for the generalised Taylor's waving sheet model swimmer using this alternate depletion region model. This thesis is organised as follows. In the first chapter, we outline a physical mechanism for the slowing down of Taylor's sheet in an Oldroyd-B fluid as the Deborah number increases. We demonstrate how a microswimmer can be designed to avoid this. In the second chapter, we investigate swimming in an Oldroyd-B fluid near a solid boundary and show that, at large amplitudes and low polymer concentrations, the swimming speed of Taylor's sheet increases with De. In the third chapter, we show how the Oldroyd-B model can be adapted using depletion regions. In the final chapter, we investigate optimal swimming in a Newtonian fluid. We show that while the organism's energetics are important, the kinematics of planar-wave microswimmers do not optimise the hydrodynamic 'efficiency' typically used for mathematical optimisation in the literature.

Thèse soutenue en Anglais

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Many cells exploit the bending or rotation of flagellar filaments in order to self-propel in viscous fluids. Often swimming occurs in complex, nonlinear fluids, e.g. mucus. Futhermore even in simple Newtonian fluids, if swimming appendages are deformable then locomotion is subject to fluid-structure interactions. The fundamental question addressed in this thesis is how exactly locomotion is impacted, in particular if it is faster or slower, with or without these effects. First we study locomotion in shear-thinning and viscoelastic fluids with rigid swimming appendages. Following the introductory Chapter, in Chapter 2 we propose empirical extensions of the classical Newtonian resistive-force theory to model the waving of slender filaments in non-Newtonian fluids, based on experimental measurements for the motion of rigid rods in non-Newtonian fluids and on the Carreau fluid model. We then use our models to address waving locomotion in shear-thinning fluids, and show that the resulting swimming speeds are systematically lowered a result which we are able to capture asymptotically and to interpret physically. In Chapter 3 we consider swimming using small-amplitude periodic waves in a viscoelastic fluid described by the Oldroyd-B constitutive relationship. Using Taylor’s swimming sheet model, we show that if all travelling waves move in the same direction, the locomotion speed of the organism is systematically decreased. However, if we allow waves to travel in two opposite directions, we show that this can lead to enhancement of the swimming speed, which is physically interpreted as due to asymmetric viscoelastic damping of waves with different frequencies. A change of the swimming direction is also possible. Secondly we consider the affect of fluid-structure interactions. In Chapter 4, we use Taylor’s swimming sheet model to describe an active swimmer immersed in an Oldroyd-B fluid. We solve for the shape of an active swimmer as a balance between the external fluid stresses, the internal driving moments, and the passive elastic resistance. We show that this dynamic balance leads to a generic transition from hindered rigid swimming to enhanced flexible locomotion. The results are physically interpreted as due to a viscoelastic suction increasing the swimming amplitude in a non-Newtonian fluid and overcoming viscoelastic damping. In Chapter 5 we consider peritrichously flagellated bacteria, such as Escherichia coli. The rotation of each motor is transmitted to a flexible rod called the hook which in turns transmits it to a helical filament, leading to swimming. The motors are randomly distributed over the body of the organism, and thus one expects the propulsive forces from the filament to almost cancel out leading to negligible swimming. We show that the transition to swimming is an elasto-hydrodynamic instability arising when the flexibility of the hook is below a critical threshold.

L'utilisation de micronageurs hélicoidaux capables de se mouvoir dans des liquides à faible nombre de Reynolds trouve son intérêt dans beaucoup d'applications: de tâches in-vitro dans des laboratoires sur puce (transport et tri de micro-objets; assemblage de micro-composants...), à des applications in-vivo en médecine mini-invasive (livraison interne et ciblée de médicaments, curiethérapie, thermothérapie...); grâce à leur dimensions microscopiques et agilité permettant l'accès à des endroits normalement très restreints. Plusieurs types de nageurs hélicoïdaux actionnés magnétiquement possédant divers paramètres géométriques, formes de tête et positions de la partie magnétique ont été proposés dans de précédents travaux. Cependant, l'influence de tous ces paramètres n'a pas clairement été étudiée. À notre connaissance, les micronageurs hélicoïdaux dans l'état de l'art sont principalement contrôlés en boucle ouverte, en raison de la complexité de la commande du champ magnétique actionnant la propulsion, et du nombre limité de retours ayant des critères satisfaisants. Cette thèse vise à comparer les performances de déplacement de nageurs hélicoïdaux avec des conceptions différentes a n d'améliorer leur design et de les caractériser et réaliser un asservissement visuel de nageur hélicoïdal. Pour se faire, des nageurs hélicoïdaux de tailles millimétriques ont été conçus et sont mis en conditions à faible nombre de Reynolds. La conception de ces "millinageurs" servira de base à la conception de micronageurs. Une commande boucle fermée par retour visuel de l'orientation d'un micronageur hélicoïdal dans un espace 3D, et un suivi de trajectoires sur plan horizontal ont été effectués. Cette méthode de commande sera par la suite appliquée à des micronageurs hélicoïdaux. / Helical microswimmers capable of propulsion at low Reynolds numbers have been proposed for numerous applications, ranging from in vitro tasks on lab-on-a-chip (e.g. transporting and sorting micro objects; mechanical components micro assembly...) to in vivo applications for minimally invasive medicine (e.g. targeted drug delivery; brachytherapy; hyperthermia...), due to their micro sizes and accessibility to tiny and clustered environments. Several kinds of magnetically actuated helical swimmers with di erent geometry parameters, head shapes, and magnetic positioning have been proposed in prior works. However, the in uence of the geometry parameters, the head shape and the magnetic positioning (head, coated tail...) has not been clearly studied. As far as we know, the existing helical microswimmers are primarily open-loop controlled, due to the complexity of the control of the magnetic eld actuating the helical propulsion, and the limited number of feedback options processing the required precision. This thesis aims to compare the swimming performances of helical swimmers with di erent designs to further improve their design and to characterize their swimming properties and realize a visual servo control of helical swimmers. Scaled-up helical microswimmers at the millimeter scale are designed and swim at low Reynolds numbers. The design of these scaled-up helical microswimmers can be a guideline for the micro-fabrication of helical microswimmers. A visual servo control of the scaled-up helical microswimmer orientation in the 3D space, and a path following on the horizontal plane have been realized. The control method will be applied on helical microswimmers in future works.

At small length scales, low velocities, and high viscosity, the effects of inertia on motion through fluid become insignificant and viscous forces dominate. Microswimmer propulsion, of necessity, is achieved through different means than that achieved by macroscopic organisms. We describe in detail the hydrodynamics of microswimmers consisting of colloidal particles and their interactions. In particular we focus on two-bead swimmers and the effects of asymmetry on collective motion, calculating analytical formulae for time-averaged pair interactions and verifying them with microscopic time-resolved numerical simulation, finding good agreement. We then examine the long-term effects of a swimmer's passing on a passive tracer particle, finding that the force-free nature of these microswimmers leads to loop-shaped tracer trajectories. Even in the presence of Brownian motion, the loop-shaped structures of these trajectories can be recovered by averaging over a large enough sample size. Finally, we explore the phenomenon of synchronisation between microswimmers through hydrodynamic interactions, using the method of constraint forces on a force-based swimmer. We find that the hydrodynamic interactions between swimmers can alter the relative phase between them such that phase-locking can occur over the long term, altering their collective motion.

L'objectif de ce travail est d'étudier l'effet thermoélectrique à l'échelle nanométrique des nanostructures chauffées. Dans un premier temps, nous étudions les mécanismes d'autopropulsion thermo-électrophorétique de particules Janus chauffées par laser. Ce mécanisme d'autopropulsion est principalement induit par l'effet Seebeck ou l'effet thermoélectrique. Cet effet provient de la séparation des charges survenues lorsqu'un gradient de température est présent dans la solution d'électrolyte: Une forte absorption du laser par la partie métallisée de la particule génère un gradient de température qui en retour agit sur les espèces ioniques (positive et négative) et les conduits vers les zones chaudes ou les zones froides. Ce mouvement d'ions entraine la création d'un champ électrique dipolaire qui, à proximité de la particule, dépend fortement des propriétés de surface. Ce changement de comportement de ce champ électrique sur une surface isolant ou conductrice n'affecte pas la vitesse de la particule. Dans un second temps, nous étudions les effets d'interactions hydrodynamiques et de la condensation des contre-ions sur la thermophorèse des polymères d'ADN. Comme résultat principal, la mobilité thermophorétique montre, en fonction de la longueur de la chaîne, un comportement non-monotone et se compose de deux contributions induites par les forces conductrices dominantes que sont l'effet Seebeck et le gradient de permittivité. À la fin, nous comparons notre résultat théorique avec une récente expérience sur l'ADN / The aim of this work is to study the nanoscale Seebeck effect at hot nanostructures. At first, we study the thermo-electrophoresis self-propulsion mechanism for a heated metal capped Janus colloid. The self-propulsion mechanism is mainly induced by the electrolyte Seebeck effect or thermoelectric effect. This effect takes its origin from the separation of charges occurring while a temperature gradient is present in a electrolyte solution: A strong absorption of laser light by the metal side of the particle creates a temperature gradient which in turn acts on ion-species (positive and negative) and drives them to the hot or the cold region. This motion of ion results in a dipolar electric field which, close to the particle, depends strongly on the surface properties. The change of behavior of the electric field at the insulating or conducting surface does not affect the velocity of the particle. At second, we study the effect of hydrodynamic interactions and counterion condensation in thermophoresis for DNA polymer. As the main result, the thermophoretic mobility shows, in function of the chain length, a non-monotonuous behavior and consists of two contributions induced by the dominant driving forces which are the thermally induced permittivity-gradient and the electrolyte Seebeck effect. At the end, we compare our theoretical result with recent experiment on single-stranded DNA.

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