Academic literature on the topic 'Low Reynolds number locomotion'

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Journal articles on the topic "Low Reynolds number locomotion"

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Zhu, L., E. Lauga, and L. Brandt. "Low-Reynolds-number swimming in a capillary tube." Journal of Fluid Mechanics 726 (May 31, 2013): 285–311. http://dx.doi.org/10.1017/jfm.2013.225.

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AbstractWe use the boundary element method to study the low-Reynolds-number locomotion of a spherical model microorganism in a circular tube. The swimmer propels itself by tangential or normal surface motion in a tube whose radius is of the order of the swimmer size. Hydrodynamic interactions with the tube walls significantly affect the average swimming speed and power consumption of the model microorganism. In the case of swimming parallel to the tube axis, the locomotion speed is always reduced (respectively, increased) for swimmers with tangential (respectively, normal) deformation. In all cases, the rate of work necessary for swimming is increased by confinement. Swimmers with no force dipoles in the far field generally follow helical trajectories, solely induced by hydrodynamic interactions with the tube walls, and in qualitative agreement with recent experimental observations for Paramecium. Swimmers of the puller type always display stable locomotion at a location which depends on the strength of their force dipoles: swimmers with weak dipoles (small $\alpha $) swim in the centre of the tube while those with strong dipoles (large $\alpha $) swim near the walls. In contrast, pusher swimmers and those employing normal deformation are unstable and end up crashing into the walls of the tube. Similar dynamics is observed for swimming into a curved tube. These results could be relevant for the future design of artificial microswimmers in confined geometries.
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Reigh, Shang Yik, Lailai Zhu, François Gallaire, and Eric Lauga. "Swimming with a cage: low-Reynolds-number locomotion inside a droplet." Soft Matter 13, no. 17 (2017): 3161–73. http://dx.doi.org/10.1039/c6sm01636g.

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Inspired by recent experiments using synthetic microswimmers to manipulate droplets, we investigate the low-Reynolds-number locomotion of a model swimmer (a spherical squirmer) encapsulated inside a droplet of a comparable size in another viscous fluid.
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Han, Endao, Lailai Zhu, Joshua W. Shaevitz, and Howard A. Stone. "Low-Reynolds-number, biflagellated Quincke swimmers with multiple forms of motion." Proceedings of the National Academy of Sciences 118, no. 29 (July 15, 2021): e2022000118. http://dx.doi.org/10.1073/pnas.2022000118.

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In the limit of zero Reynolds number (Re), swimmers propel themselves exploiting a series of nonreciprocal body motions. For an artificial swimmer, a proper selection of the power source is required to drive its motion, in cooperation with its geometric and mechanical properties. Although various external fields (magnetic, acoustic, optical, etc.) have been introduced, electric fields are rarely utilized to actuate such swimmers experimentally in unbounded space. Here we use uniform and static electric fields to demonstrate locomotion of a biflagellated sphere at low Re via Quincke rotation. These Quincke swimmers exhibit three different forms of motion, including a self-oscillatory state due to elastohydrodynamic–electrohydrodynamic interactions. Each form of motion follows a distinct trajectory in space. Our experiments and numerical results demonstrate a method to generate, and potentially control, the locomotion of artificial flagellated swimmers.
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Cohen, Netta, and Jordan H. Boyle. "Swimming at low Reynolds number: a beginners guide to undulatory locomotion." Contemporary Physics 51, no. 2 (March 2010): 103–23. http://dx.doi.org/10.1080/00107510903268381.

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CROWDY, DARREN, SUNGYON LEE, OPHIR SAMSON, ERIC LAUGA, and A. E. HOSOI. "A two-dimensional model of low-Reynolds number swimming beneath a free surface." Journal of Fluid Mechanics 681 (June 29, 2011): 24–47. http://dx.doi.org/10.1017/jfm.2011.223.

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Biological organisms swimming at low-Reynolds number are often influenced by the presence of rigid boundaries and soft interfaces. In this paper, we present an analysis of locomotion near a free surface with surface tension. Using a simplified two-dimensional singularity model and combining a complex variable approach with conformal mapping techniques, we demonstrate that the deformation of a free surface can be harnessed to produce steady locomotion parallel to the interface. The crucial physical ingredient lies in the nonlinear hydrodynamic coupling between the disturbance flow created by the swimmer and the free boundary problem at the fluid surface.
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Wang, Qixuan. "Optimal Strokes of Low Reynolds Number Linked-Sphere Swimmers." Applied Sciences 9, no. 19 (September 26, 2019): 4023. http://dx.doi.org/10.3390/app9194023.

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Optimal gait design is important for micro-organisms and micro-robots that propel themselves in a fluid environment in the absence of external force or torque. The simplest models of shape changes are those that comprise a series of linked-spheres that can change their separation and/or their sizes. We examine the dynamics of three existing linked-sphere types of modeling swimmers in low Reynolds number Newtonian fluids using asymptotic analysis, and obtain their optimal swimming strokes by solving the Euler–Lagrange equation using the shooting method. The numerical results reveal that (1) with the minimal 2 degrees of freedom in shape deformations, the model swimmer adopting the mixed shape deformation modes strategy is more efficient than those with a single-mode of shape deformation modes, and (2) the swimming efficiency mostly decreases as the number of spheres increases, indicating that more degrees of freedom in shape deformations might not be a good strategy in optimal gait design in low Reynolds number locomotion.
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Pak, On Shun, and Eric Lauga. "The transient swimming of a waving sheet." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 466, no. 2113 (October 2, 2009): 107–26. http://dx.doi.org/10.1098/rspa.2009.0208.

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Small-scale locomotion plays an important role in biology. Different modelling approaches have been proposed in the past. The simplest model is an infinite inextensible two-dimensional waving sheet, originally introduced by Taylor, which serves as an idealized geometrical model for both spermatozoa locomotion and ciliary transport in Stokes flow. Here, we complement classic steady-state calculations by deriving the transient low-Reynolds number swimming speed of such a waving sheet when starting from rest (small-amplitude initial-value problem). We also determine the transient fluid flow in the ‘pumping’ setup where the sheet is not free to move but instead generates a net fluid flow around it. The time scales for these two problems, which in general govern transient effects in transport and locomotion at low Reynolds numbers, are also derived using physical arguments.
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Lohéac, Jérôme, and Takéo Takahashi. "Controllability of low Reynolds numbers swimmers of ciliate type." ESAIM: Control, Optimisation and Calculus of Variations 26 (2020): 31. http://dx.doi.org/10.1051/cocv/2019010.

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We study the locomotion of a ciliated microorganism in a viscous incompressible fluid. We use the Blake ciliated model: the swimmer is a rigid body with tangential displacements at its boundary that allow it to propel in a Stokes fluid. This can be seen as a control problem: using periodical displacements, is it possible to reach a given position and a given orientation? We are interested in the minimal dimension d of the space of controls that allows the microorganism to swim. Our main result states the exact controllability with d = 3 generically with respect to the shape of the swimmer and with respect to the vector fields generating the tangential displacements. The proof is based on analyticity results and on the study of the particular case of a spheroidal swimmer.
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Ji, Lingbo, and Wim M. van Rees. "Locomotion of a rotating cylinder pair with periodic gaits at low Reynolds numbers." Physics of Fluids 32, no. 10 (October 1, 2020): 103102. http://dx.doi.org/10.1063/5.0022681.

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Lenz, Petra H., Daisuke Takagi, and Daniel K. Hartline. "Choreographed swimming of copepod nauplii." Journal of The Royal Society Interface 12, no. 112 (November 2015): 20150776. http://dx.doi.org/10.1098/rsif.2015.0776.

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Small metazoan paddlers, such as crustacean larvae (nauplii), are abundant, ecologically important and active swimmers, which depend on exploiting viscous forces for locomotion. The physics of micropaddling at low Reynolds number was investigated using a model of swimming based on slender-body theory for Stokes flow. Locomotion of nauplii of the copepod Bestiolina similis was quantified from high-speed video images to obtain precise measurements of appendage movements and the resulting displacement of the body. The kinematic and morphological data served as inputs to the model, which predicted the displacement in good agreement with observations. The results of interest did not depend sensitively on the parameters within the error of measurement. Model tests revealed that the commonly attributed mechanism of ‘feathering’ appendages during return strokes accounts for only part of the displacement. As important for effective paddling at low Reynolds number is the ability to generate a metachronal sequence of power strokes in combination with synchronous return strokes of appendages. The effect of feathering together with a synchronous return stroke is greater than the sum of each factor individually. The model serves as a foundation for future exploration of micropaddlers swimming at intermediate Reynolds number where both viscous and inertial forces are important.
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Dissertations / Theses on the topic "Low Reynolds number locomotion"

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Chan, Brian 1980. "Propulsion devices for locomotion at low-Reynolds number." Thesis, Massachusetts Institute of Technology, 2004. http://hdl.handle.net/1721.1/27065.

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Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2004.
Includes bibliographical references (leaves 65-66).
We have designed, built, and tested three novel devices that use low-Reynolds number flows for self propulsion. The three-link swimmer is designed to swim through in a free viscous fluid using cyclic flipping motion of two rigid fins attached to a rigid midsection. Robosnail 1 uses lubrication pressures underneath a flexible, sinusoidally waving boundary to generate thrust, and Robosnail 2 uses five independently controlled translating feet segments to move on a layer of 8 percent Laponite, a shear thinning clay suspension which gives it the ability to adhere to and scale inclines and inverted surfaces. The three link swimmer was found to travel up to 0.034 body lengths per four-stroke cycle, Robosnail 1 was found to move at a speed of roughly half the wave speed of the foot (measured with respect to the snail), a result consistent for wave speeds between 0 and 2 cm/s. Robosnail 2 was able to move forward at all inclines from zero to 180 degrees inverted, with back-slip ranging from 40 to 80 percent.
by Brian Chan.
S.M.
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Ishimoto, Kenta. "Hydrodynamics of squirming locomotion at low Reynolds numbers." 京都大学 (Kyoto University), 2015. http://hdl.handle.net/2433/199079.

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Shehata, Hisham. "Unsteady Aerodynamic/Hydrodynamic Analysis of Bio-inspired Flapping Elements at Low Reynolds Number." Diss., Virginia Tech, 2020. http://hdl.handle.net/10919/97567.

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The impressive kinematic capabilities and structural adaptations presented by bio-locomotion continue to inspire some of the advancements in today's small-scaled flying and swimming vehicles. These vehicles operate in a low Reynolds number flow regime where viscous effects dominate flow interactions, which makes it challenging to generate lift and thrust. Overcoming these challenges means utilizing non-conventional lifting and flow control mechanisms generated by unsteady flapping body motion. Understanding and characterizing the aerodynamic phenomena associated with the unsteady motion is vital to predict the unsteady fluid loads generated, to implement control methodologies, and to assess the dynamic stability and control authority of airborne and underwater vehicles. This dissertation presents experimental results for forced oscillations on multi-element airfoils and hydrofoils for Reynolds numbers between Re=104 and Re=106. The document divides the work into four main sections: The first topic presents wind tunnel measurements of lift forces generated by an oscillating trailing edge flap on a NACA-0012 airfoil to illustrate the effects that frequency and pitching amplitude have on lift enhancement. The results suggest that this dynamic trailing edge flap enhances the mean lift by up to 20% in the stalled flow regime. Using frequency response approach, it is determined that the maximum enhancement in circulatory lift amplitude occurs at stalled angles of attack for lower pitching amplitudes. The second topic presents wind tunnel measurements for lift and drag generated by a sinusoidal and non-sinusoidal oscillations of a NACA-0012 airfoil. The results show that 'trapezoidal' pitching enhances the mean lift and the RMS lift by up to 50% and 35% in the pre-stall flow regime, respectively, whereas the 'reverse sawtooth' and sinusoidal pitching generate the most substantial increase of the lift-to-drag ratio in stall and post-stall flow regimes, respectively. The third topic involves a study on the role of fish-tail flexibility on thrust and propulsive efficiency. Flexible tails enhance thrust production in comparison to a rigid ones of the same size and under the same operating conditions. Further analysis indicates that varying the tail's aspect ratio has a more significant effect on propulsive efficiency and the thrust-to-power ratio at zero freestream flow. On the other hand, changing the material's property has the strongest impact on propulsive efficiency at non-zero freestream flow. The results also show that the maximum thrust peaks correspond to the maximum passive tail amplitudes only for the most flexible case. The final topic aims to assess the unsteady hydrodynamic forces and moments generated by a three-link swimming prototype performing different swimming gaits, swimming speeds, and oscillatory frequencies. We conclude that the active actuation of the tail's first mode bending produces the most significant thrust force in the presence of freestream flow. In contrast, the second mode bending kinematics provides the most significant thrust force in a zero-freestream flow.
Doctor of Philosophy
It is by no surprise that animal locomotion continues to inspire the design of flying and swimming vehicles. Although nature produces complex kinematics and highly unsteady flow characteristics, simplified approximations to model bio-inspired locomotion in fluid flows are experimentally achievable using low degrees of freedom motion, such as pitching airfoils and trailing edge flaps. The contributions of this dissertation are divided into four primary foci: (a) wind tunnel force measurements on a flapped NACA-0012 airfoil undergoing forced pitching, (b) wind tunnel measurements of aerodynamic forces generated by sinusoidal and non-sinusoidal pitching of a NACA-0012 airfoil, (c) towing tank measurements of thrust forces and torques generated by a one-link swimming prototype with varying tail flexibilities, and (d) towing tank measurements of hydrodynamic forces and moments generated by active tail actuation of a multi-link swimming prototype. From our wind tunnel measurements, we determine that lift enhancement by a trailing edge flap is achieved under certain flow regimes and oscillating conditions. Additionally, we assess the aerodynamic forces for a sinusoidal and non-sinusoidal pitching of an airfoil and show that 'trapezoidal' pitching produces the largest lift coefficient amplitude whereas the sinusoidal and 'reverse sawtooth' pitching achieve the best lift to drag ratios. From our towing tank experiments, we note that the role of tail flexibility enhances thrust generation on a swimming device. Finally, we conclude that different kinematics on an articulating body strongly affect the hydrodynamic forces and moments. The results of the towing tank measurements are accessible from an online public database to encourage research and contribution in underwater vehicle design through physics-based low-order models that can accommodate hydrodynamic principles and geometric control concepts.
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Jibuti, Levan. "Locomotion et écoulement dans les fluides complexes confinés." Phd thesis, Université de Grenoble, 2011. http://tel.archives-ouvertes.fr/tel-00635980.

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Cette thèse est consacrée à l'étude de la dynamique et de la rhéologie des fluides complexes. Nous utilisons une méthode de simulation numérique à trois dimensions. Les systèmes que nous étudions ici sont des suspensions de micro-nageurs actifs, des suspensions de particules sphériques rigides en présence d'un champ externe auquel elles sont sensibles et de la dynamique de suspensions de particules sphériques et confinées en cisaillement. Les Micro-nageurs sont les objets microscopiques qui se propulsent dans un fluide et ils sont omniprésents dans la nature. Un exemple commun de micro-nageurs est la micro-algue textit{Chlamydomonas} . Un des buts principaux de cette thèse est de comprendre l'effet de la motilité de ces micro-organismes sur les propriétés macroscopiques globales de la suspension, telles que la viscosité effective pour expliquer les observations expérimentales. Nous avons élaboré différents modèles de suspensions de textit{Chlamydomonas} et effectué des simulations numériques utilisant la version 3D de la dynamique des particules fluides (FPD) (méthode expliquée dans cette thèse). Les résultats de nos simulations numériques ont été présentés et discutés à la lumière des observations expérimentales. Un des modèles proposés intègre tous les phénomènes observés expérimentalement et sont applicables à d'autres types de suspensions de micro-nageurs. Cette thèse consacre également un chapitre sur les effets du confinement sur la dynamique de cisaillement des suspensions diluées de particules sphériques. Nous avons constaté que dans la géométrie confinée, la vitesse angulaire des particules diminue par rapport à celle imposée par l'écoulement de cisaillement. La vitesse angulaire des particules diminue également lorsque la particule est proche d'une paroi unique et la vitesse de translation de la particule par rapport à la vitesse de la paroi diminue. Un autre objectif de cette thèse est d'étudier les suspensions à viscosité effective ajustable. Nous avons mené une étude numérique sur des suspensions de particules sphériques en présence d'un couple externe. Nous avons montré que le changement de vitesse angulaire des particules due à l'application d'un couple externe est suffisante pour modifier fortement la viscosité de la suspension. Basée sur des simulations numériques, une formule semi-empirique a été proposée pour la viscosité des suspensions de particules sphériques valables jusqu'à 40% de concentration. Nous avons également montré que la 2ème loi de Faxén peut être étendue par une expression empirique pour de grandes concentrations.
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El, Alaoui-Faris Yacine. "Modélisation et contrôle optimal de micro-nageurs magnétiques." Thesis, Université Côte d'Azur, 2020. http://www.theses.fr/2020COAZ4094.

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Les micro-nageurs robotiques permettent d'effectuer des opérations à petite échelle telles que l'administration ciblée de médicaments et la chirurgie peu invasive. En raison de la difficulté de miniaturiser des sources d'énergie internes, les méthodes d'actionnement externes sont préférables aux sources intégrées, une stratégie populaire étant l'aimantation du nageur ou d'une de ses parties et son actionnement avec des champs magnétiques externes. L'étude qui suit se concentre sur les micro-nageurs magnétiques flexibles qui imitent les cellules flagellées commeles spermatozoïdes dans leur conception et leur mode de locomotion. Le but decette thèse est d'appliquer des outils numériques de modélisation et de contrôle optimal aux nageurs expérimentaux de l'Institut des Systèmes Intelligents et de Robotique (ISIR) afin d’améliorer leur contrôle et de fournir une méthode numérique pour la conception de commandes pour les micro-nageurs flexibles. La première étape de cette thèse a été le développement d'un modèle dynamique simplifié d'un nageur magnétique flexible en trois dimensions, basé sur une approximation des forces hydrodynamiques et sur la discrétisation de la courbure et de l'élasticité du flagelle. Une identification des paramètres hydrodynamiques et élastiques du modèle permet d'avoir un nageur simulé qui présente les mêmes caractéristiques de propulsion (notamment la réponse fréquentielle du nageur) que celles mesurées expérimentalement. La seconde étape a été d'utiliser le modèle développé pour la résolution numérique du problème de contrôle optimal consistant à de trouver le champ magnétique qui maximise la vitesse de propulsion du nageur sous des contraintes sur la commande reflétant les contraintes physiquement imposées au champ magnétique. La dernière étape a été l'implémentation des champ magnétiques calculés dans le dispositif expérimental de l'ISIR et l'étude de leur performances expérimentales ainsi que de la capacité du modèle à prédire la trajectoire du nageur
Robotic micro-swimmers are able to perform small-scale operations such astargeted drug delivery, and minimally invasive medical diagnosis and surgery.However, efficient actuation of these robots becomes more challenging as their size decreases. Hence, wireless actuation is preferable over built-in actuation sources, one of the most popular strategies is the magnetization of parts of the swimmer and its actuation with an external magnetic field. In this thesis, we focus on flexible magnetic micro-swimmers that are similar to spermatozoa in their design and flagellar propulsion. Our goal is to use numerical modeling and optimal control tools to improve the performance of existing swimmers made at the ISIR laboratory (Institut des Systèmes Intelligents et de Robotique) and to propose a numerical control design method for experimental flexible micro-swimmers.Firstly, a simplified 3D dynamic model of a flexible swimmer has been developed, based on the approximation of hydrodynamic forces and the discretization of the curvature and elasticity of the tail of the swimmer. By fitting the hydrodynamic and elastic parameters of our model accordingly, we are able to obtain propulsion characteristics (mainly the frequency response of the swimmer) close to those experimentally measured. Secondly, we numerically solve the optimal control problem of finding the actuating magnetic fields that maximize the propulsion speed of the experimental swimmer under constraints on the control that reflect the constraints physically imposed on the magnetic field. The optimal magnetic fields found via numerical optimization are then implemented in the ISIR experimental setup in order to benchmark the experimental performance of the computed controls and the ability of the model to predict the trajectories of the experimental swimmer
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Srinivasa, Murthy P. "Low Reynolds Number Airfoil Aerodynamics." Thesis, Indian Institute of Science, 2000. http://hdl.handle.net/2005/229.

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In this thesis we describe the development of Reynolds- averaged Navier Stokes code for the flow past two- dimensional configuration. Particularly, emphasis has been laid on the study of low Reynolds number airfoil aerodynamics. The thesis consists of five chapters covering the back ground history, problem formulation, method of solution and discussion of the results and conclusion. Chapter I deals with a detailed background history of low Reynolds number aerodynamics, problem associated with it, state of the art, its importance in practical applications in aircraft industries. Chapter II describes the mathematical model of the flow physics and various levels of approximations. Also it gives an account of complexity of the equations at low Reynolds number regarding flow separation, transition and reattachment. Chapter III describes method of solution, numerical algorithm developed, description of various upwind schemes, grid system, finite volume discrieti-zation of the governing equations described in Chapter II. Chapter IV describes the application of the newly developed Navier Stokes code for the test cases from GAMM Workshop proceedings. Also it describes validation of the code for Euler solutions, Blasius solution for the flow past flat plate and compressible Navier Stokes solution for the flow past NACA 0012 Airfoil at low Reynolds number. Chapter V describes the application of the Navier Stokes code for the more test cases of current practical interest . In this chapter laminar separation bubble characteristics are investigated in detail regarding formation, growth and shedding in an unsteady environment. Finally the conclusion is drawn regarding the robustness of the newly developed code in predicting the airfoil aerodynamic characteristics at low Reynolds number both in steady and unsteady environment. Lastly, suggestion for future work has been highlighted.
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Tam, Daniel See Wai 1980. "Motion at low Reynolds number." Thesis, Massachusetts Institute of Technology, 2008. http://hdl.handle.net/1721.1/49682.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2008.
Includes bibliographical references (p. 181-192).
The work described in this thesis centers on inertialess motion at low Reynolds numbers at the crossroad between biofluids and microfluids. Here we address questions regarding locomotion of micro-swimmers, transport of nutrient around micro-organisms as well as mixing and heat exchange inside micro-droplets of water. A general framework for the investigation of optimal locomotion strategies for slender swimmers has been developed and applied to different systems. Here we exclusively study the hydrodynamical aspects of locomotion without further consideration for the swimmers internal dynamics. The first system studied is the "three-link" swimmer, first introduced and discussed by Nobel prize laureate E.M. Purcell in his famous lecture "Life at low Reynolds number" [121]. For this simple swimmer, we find and later discuss optimal stroke kinematics and swimmer geometries. We then further investigate flagellated swimmers and verify the convergence of the optimization procedure in the case of a single flagellum, for which the optimal stroke kinematics are known analytically. Optimal stroke kinematics and geometries for unifiagellates are also computed and found to be relevant in the context of biological microorganisms.
(cont.) We then turn our attention to stroke kinematics of biflagellates and demonstrate that all the different strokes, which are experimentally observed to be performed by biflagellated organisms such as green algae chlamydomonas, are found to be local hydrodynamical optima. These observations strongly suggest the central role of hydrodynamics in the internal dynamical organization of the stroke patterns. Finally, we present experimental results on convective transport and mixing inside small droplets of water sitting on superhydrophobic substrates. We demonstrate by a scaling analysis, that the regular convection pattern is due to a thermocapillary driven Marangoni flow at the surface of the droplet. We develop an analytical solution for the temperature and flow field inside the droplet, which is found to be in agreement with our experimentally recorded data.
by Daniel See-Wai Tam.
Ph.D.
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8

Erm, Lincoln. "Low-Reynolds-number turbulent boundary layers /." Connect to thesis, 1988. http://eprints.unimelb.edu.au/archive/00000226.

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Stevens, Patrick Robert Robbie James. "Unsteady low Reynolds number aerodynamic forces." Thesis, University of Cambridge, 2015. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.709135.

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Box, Stuart James. "Rotational motion at low Reynolds number." Thesis, University of Bristol, 2015. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.688351.

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Driven cyclic or periodic motion is a recurrent feature of many of the microscopic mechanical systems that support life. For example, fields of cilia, nano-scale hair-like structures, beat together to transport fluids though mammalian tracts. Bacteria and other micro-organisms are able to swim using similar organelles known as flagella, while "molecular motors" provide traction in muscle tissue. These mechanisms rely on the hydrodynamics and statistical mechanics of driven cyclic motion at the micro-scale. The purpose of this thesis is to investigate these principles in an abstract sense, in order to better understand these aspects of biology and to provide a framework for the design of future biomimetic devices. In particular, two aspects of rotational motion at low Reynolds number, the viscous dominated regime occupied by microorganisms and micro-machines,are investigated in this work. First, hydrodynamic synchronisation at low Reynolds number is considered. A model system is created that comprises two colloidal spheres driven along circular paths. The driving forces are applied using optical tweezers, a tool that employs a highly focussed laser beam to exert known forces on micro-particles. Each sphere is driven such that it experiences a given optical force profile, but the net force, and thus the resulting rotation rate, are free to vary. A fluid-mediated interaction force also acts on the spheres, and spontaneously induces synchronisation of their rotational motion. This system is an experimental demonstration of minimal models that were previously proposed to describe the synchronous behaviour of flagella. Synchronisation is only possible under certain conditions at low Reynolds number. In the system employed here, synchronisation can occur either via small deformations of each sphere's circular path, or by modulation of the optical driving force. Synchronisation strength is found to depend on these two mechanisms as predicted by theory. Next, the effect of thermal fluctuations on a rotating system are considered. A micro-rotor that experiences a torque when optically trapped is fabricated using photo-polymerisation. This rotor is used to experimentally demonstrate a rotational Fluctuation Theorem, which describes the probability of observing a trajectory over which the surrounding medium does work on the rotor. In the macro-world, a trajectory of this kind would be said to violate the second law of thermodynamics, but is made possible at the micro-scale because the relevant forces and energies are similar in magnitude to the thermal energy of the system. The probability of observing these trajectories is shown to decrease exponentially with the time over which the rotor is studied, as predicted by the Fluctuation Theorem.
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Books on the topic "Low Reynolds number locomotion"

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Mueller, Thomas J. Low Reynolds number vehicles. Neuilly sur Seine: Agard, 1985.

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Mueller, Thomas J., ed. Low Reynolds Number Aerodynamics. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-84010-4.

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Bodnar, Andrea Claire. Low Reynolds number particle-fluid interactions. Toronto: [s.n.], 1994.

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Whalen, Margaret V. Low Reynolds number nozzle flow study. [Washington, DC]: National Aeronautics and Space Administration, 1987.

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So, Ronald M. C. On the modeling of low-Reynolds-number turbulence. Cleveland, Ohio: Lewis Research Center, 1986.

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Kohr, Mirela. Viscous incompressible flow for low Reynolds numbers. Southampton: WIT, 2004.

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Duprat, Camille, and Howard Stone, eds. Fluid-Structure Interactions in Low-Reynolds-Number Flows. Cambridge: Royal Society of Chemistry, 2015. http://dx.doi.org/10.1039/9781782628491.

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Nikas, Konstantinos-Stephen P. Low-Reynolds number computations of flow through rotating cavities. Manchester: UMIST, 1995.

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Shyy, Wei. Aerodynamics of low reynolds number flyers: Wei shyy ... [et al.]. Cambridge: Cambridge University Press, 2007.

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Morgan, Harry L. A study of high-lift airfoils at high Reynolds numbers in the Langley Low-Turbulence Pressure Tunnel. [Washington, DC]: National Aeronautics and Space Administration, Scientific and Technical Information Office, 1989.

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Book chapters on the topic "Low Reynolds number locomotion"

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Ol, Michael V., Luis Bernal, Chang-Kwon Kang, and Wei Shyy. "Shallow and deep dynamic stall for flapping low Reynolds number airfoils." In Animal Locomotion, 321–39. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11633-9_26.

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Desimone, Antonio, Luca Heltai, FranÇois Alouges, and Aline Lefebvre-Lepot. "Computing optimal Strokes for Low Reynolds Number Swimmers." In Natural Locomotion in Fluids and on Surfaces, 177–84. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-3997-4_13.

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Rojratsirikul, P., Z. Wang, and I. Gursul. "Unsteady fluid-structure interactions of membrane airfoils at low Reynolds numbers." In Animal Locomotion, 297–310. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11633-9_24.

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Wang, Qixuan, Jifeng Hu, and Hans Othmer. "Models of Low Reynolds Number Swimmers Inspired by Cell Blebbing." In Natural Locomotion in Fluids and on Surfaces, 185–95. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-3997-4_14.

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Visbal, Miguel R., Raymond E. Gordnier, and Marshall C. Galbraith. "High-fidelity simulations of moving and flexible airfoils at low Reynolds numbers." In Animal Locomotion, 341–60. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11633-9_27.

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Obuse, Kiori, and Jean-Luc Thiffeault. "A Low-Reynolds-Number Treadmilling Swimmer Near a Semi-infinite Wall." In Natural Locomotion in Fluids and on Surfaces, 197–206. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-3997-4_15.

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Pozrikidis, C. "Low-Reynolds-number flow." In Fluid Dynamics, 591–667. Boston, MA: Springer US, 2016. http://dx.doi.org/10.1007/978-1-4899-7991-9_9.

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Pozrikidis, Constantine. "Low Reynolds Number Flow." In Fluid Dynamics, 494–561. Boston, MA: Springer US, 2009. http://dx.doi.org/10.1007/978-0-387-95871-2_9.

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Kalliadasis, S., C. Ruyer-Quil, B. Scheid, and M. G. Velarde. "Methodologies for Low-Reynolds Number Flows." In Applied Mathematical Sciences, 95–144. London: Springer London, 2012. http://dx.doi.org/10.1007/978-1-84882-367-9_5.

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Gough, T. D., and P. E. Hancock. "Low Reynolds Number Turbulent Near Wakes." In Advances in Turbulence VI, 445–48. Dordrecht: Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-0297-8_126.

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Conference papers on the topic "Low Reynolds number locomotion"

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Hatton, Ross, and Howie Choset. "Kinematic Cartography for Locomotion at Low Reynolds Numbers." In Robotics: Science and Systems 2011. Robotics: Science and Systems Foundation, 2011. http://dx.doi.org/10.15607/rss.2011.vii.017.

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Magley, Daniel L., Vinayak Narasimhan, and Hyuck Choo. "Hydro-ionic microthruster for locomotion in low-Reynold'S number ionic fluids." In 2017 IEEE 30th International Conference on Micro Electro Mechanical Systems (MEMS). IEEE, 2017. http://dx.doi.org/10.1109/memsys.2017.7863522.

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Doostmohammadi, Amin, and Arezoo M. Ardekani. "Vertical Migration of the Small Organisms in a Stratified Fluid." In ASME 2012 Fluids Engineering Division Summer Meeting collocated with the ASME 2012 Heat Transfer Summer Conference and the ASME 2012 10th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/fedsm2012-72125.

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Significant progress has been made in analyzing low-Reynolds number locomotion in homogeneous fluids. Even though density interfaces due to temperature or salinity gradients (pycnoclines), ubiquitously occur in oceans and lakes, the effects of stratification on the hydrodynamics of swimming of small organisms, their interaction with each other and their migration are very poorly understood. In this article, we implement a direct numerical simulation of the migration of swimmers at pycnoclines and illustrate the role of the diffusivity of the stratified agent on the swimming of small organisms. We demonstrate that for an archetypal swimmer model, squirmer, the migration at density stratified fluid can be largely influenced by buoyancy effects. We also show that the effects of density stratification are increased as the diffusivitty of the stratified agent is reduced. The results demonstrate that the stratification suppresses the vertical migration and consequently affects the life of low Reynolds number swimmers across pycnoclines. Our recent computational results reveal the full nonlinear effects of stratification on the locomotion of small organisms.
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Taheri, Arash, and Meysam Mohammadi-Amin. "Towards a Multi-Flagella Architecture for E.coli Inspired Swimming Microrobot Propulsion." In ASME 2008 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2008. http://dx.doi.org/10.1115/sbc2008-192525.

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One of the primary goals of medical micro and nano robots is to reach currently inaccessible areas of the human body and carry out a host of complex operations, such as minimally invasive surgery (MIS), highly localized drug delivery, and screening for diseases at their very early stages. One of the innovative approaches to design microrobot propulsion is based on the flagellar motion of bacteria [1]. Certain bacteria, such as Escherichia coli (E.coli) use multiple flagella often concentrated at one end of their bodies to induce locomotion. Each flagellum is formed in a left-handed helix and has a motor at the base that rotates the flagellum in a corkscrew motion. As pointed out by Purcell in his Lecture “Life at low Reynolds numbers” [2], microorganisms experience an environment quite different from our own. In particular, because of their small size (of the order of microns), inertia is, to them, essentially irrelevant. The fact that inertia is irrelevant for micro-organisms makes it difficult for them to move. The propulsive mechanisms based on flow inertia will not work on a mesoscopic scale. To overcome this problem, organisms living in low Reynolds number regimes have developed moving organelles which have a handedness to them. For instance, E. Coli’s flagella rotate with a helical motion, much like a corkscrew. This configuration produces patterns of motion that do not repeat the first half of the cycle in reverse for the second half, allowing the organisms to achieve movement in their environment.
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Olivett, A., P. Corrao, and M. A. Karami. "Flow Control and Separation Delay in Morphing Wing Aircraft Using Traveling Wave Actuation." In ASME 2020 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/smasis2020-2355.

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Abstract This study examines the biomimicry of wave propagation, a mode of locomotion in aquatic life for the use-case of morphing aircraft surfaces for boundary layer control. Such motion is theorized to inject momentum into the flow on the upper surface of airfoils, and as a consequence, creates a forcible pressure gradient thereby increasing lift. It is thought that this method can be used to control flow separation and reduce likelihood of stall at high angles of attack. The motivation for such a mechanism is especially relevant for aircraft requiring abrupt maneuvers, and especially at high angles of attack as a safety measure against stalling. The actuation mechanism consists of lightweight piezoelectric ceramic transducers placed beneath the upper surface of an airfoil. An open-loop system controls surface morphing. A two-dimensional Fourier Transform technique is used to estimate traveling to standing wave ratio, which is verified analytically using Euler Bernoulli beam theory, and experimentally using a prototype wing. Propagating wave control is tuned and verified using a series of scanning laser vibrometry tests. A custom two-dimensional NACA 0018 airfoil tests the concept in a low-speed wind tunnel with approximate Reynolds Number of 50,000. Both traveling waves and the changes in lift and drag will be experimentally characterized.
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DRELA, MARK. "Transonic low Reynolds number airfoils." In 9th Applied Aerodynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1991. http://dx.doi.org/10.2514/6.1991-3337.

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Hatton, Ross L., and Howie Choset. "Connection Vector Fields and Optimized Coordinates for Swimming Systems at Low and High Reynolds Numbers." In ASME 2010 Dynamic Systems and Control Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/dscc2010-4003.

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Several efforts have recently been made to relate the displacement of swimming three-link systems over strokes to geometric quantities of the strokes. While this approach has been successful for finding net rotations, noncommutivity concerns have prevented it from working for net translations. Our recent results on other locomoting systems have shown that the degree of this noncommutivity is dependent on the coordinates used to describe the problem, and that it can be greatly mitigated by an optimal choice of coordinates. Here, we extend the benefits of this optimal-coordinate approach to the analysis of swimming at the extremes of low and high Reynolds numbers.
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MARCHMAN, III, J., EDWARD ROBERTSON, and HOWARD EMSLEY. "Rain effects at low Reynolds number." In 25th AIAA Aerospace Sciences Meeting. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1987. http://dx.doi.org/10.2514/6.1987-258.

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Brody, J. P., and P. Yager. "Low Reynolds Number Micro-Fluidic Devices." In 1996 Solid-State, Actuators, and Microsystems Workshop. San Diego, CA USA: Transducer Research Foundation, Inc., 1996. http://dx.doi.org/10.31438/trf.hh1996.25.

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Brody, J. P., and P. Yager. "Low Reynolds Number Micro-Fluidic Devices." In 1996 Solid-State, Actuators, and Microsystems Workshop. San Diego, CA USA: Transducer Research Foundation, Inc., 1996. http://dx.doi.org/10.31438/trf.hh1996.25.

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Reports on the topic "Low Reynolds number locomotion"

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Gimelsheim, N., J. Duncan, T. Lilly, S. Gimelshein, A. Ketsdever, and I. Wysong. Surface Roughness Effects in Low Reynolds Number Channel Flows. Fort Belvoir, VA: Defense Technical Information Center, June 2006. http://dx.doi.org/10.21236/ada454769.

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Gopalarothnam, Ashok, and Gregory Z. McGowan. Numerical Study of Unsteady Low-Reynolds Number Wing Performance. Fort Belvoir, VA: Defense Technical Information Center, February 2008. http://dx.doi.org/10.21236/ada479418.

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Ol, Michael V. Unsteady Low-Reynolds Number Aerodynamics for Micro Air Vehicles (MAVs). Fort Belvoir, VA: Defense Technical Information Center, August 2007. http://dx.doi.org/10.21236/ada472788.

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Bianchi, J. Christopher. Velocity measurements of low Reynolds number tube flow using fiber-optic technology. Office of Scientific and Technical Information (OSTI), March 1993. http://dx.doi.org/10.2172/10140118.

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Bianchi, J. C. Velocity measurements of low Reynolds number tube flow using fiber-optic technology. Office of Scientific and Technical Information (OSTI), March 1993. http://dx.doi.org/10.2172/6625783.

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Blaylock, Myra L., David Charles Maniaci, and Brian R. Resor. Numerical Simulations of Subscale Wind Turbine Rotor Inboard Airfoils at Low Reynolds Number. Office of Scientific and Technical Information (OSTI), April 2015. http://dx.doi.org/10.2172/1178361.

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Gable, C., B. J. Travis, R. J. O`Connell, and H. A. Stone. Interface deformation in low reynolds number multiphase flows: Applications to selected problems in geodynamics. Office of Scientific and Technical Information (OSTI), June 1995. http://dx.doi.org/10.2172/80379.

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Miley, S. J. Addendum to a catalog of low Reynolds number airfoil data for wind turbine applications. Office of Scientific and Technical Information (OSTI), February 1985. http://dx.doi.org/10.2172/5801393.

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Rui Shi, Davide Wüthrich, and Hubert Chanson. Intrusive and Non-intrusive Air-water Flow Measurements in Breaking Jumps at Low Froude Number and Large Reynolds Number. The University of Queensland, January 2021. http://dx.doi.org/10.14264/4a0c07f.

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Ayoul-Guilmard, Q., S. Ganesh, M. Nuñez, R. Tosi, F. Nobile, R. Rossi, and C. Soriano. D5.3 Report on theoretical work to allow the use of MLMC with adaptive mesh refinement. Scipedia, 2021. http://dx.doi.org/10.23967/exaqute.2021.2.002.

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This documents describes several studies undertaken to assess the applicability of MultiLevel Monte Carlo (MLMC) methods to problems of interest; namely in turbulent fluid flow over civil engineering structures. Several numerical experiments are presented wherein the convergence of quantities of interest with mesh parameters are studied at different Reynolds’ numbers and geometries. It was found that MLMC methods could be used successfully for low Reynolds’ number flows when combined with appropriate Adaptive Mesh Refinement (AMR) strategies. However, the hypotheses for optimal MLMC performance were found to not be satisfied at higher turbulent Reynolds’ numbers despite the use of AMR strategies. Recommendations are made for future research directions based on these studies. A tentative outline for an MLMC algorithm with adapted meshes is made, as well as recommendations for alternatives to MLMC methods for cases where the underlying assumptions for optimal MLMC performance are not satisfied.
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