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Gabriel Juarez

Publications and source records attributed to Gabriel Juarez.

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Lagrangian dynamics unveil polymer conformation in viscoelastic flows

The complex flow behavior of viscoelastic fluids emerges from a feedback between fluid stress and the out-of-equilibrium conformational dynamics of their constituent polymer chains. While constitutive models can predict flow and stress fields in simple geometries, a fundamental understanding of the mechanisms regulating viscoelastic flows with mixed kinematics and non-trivial polymer dynamics remains elusive. Quantifying the history-dependent conformation of polymer chains in flow is essential to resolve these complex systems. To address this knowledge gap, we employ direct Lagrangian tracking of individual DNA molecules to reveal their conformational dynamics in microfluidic viscoelastic flows for different polymer contour lengths and concentrations. Comparing the measured molecular extension and orientation reveals discrepancies with canonical constitutive models, which do not fully capture the transient dynamics. Our measurements show a distinct anisotropy in polymer relaxation and shape, which couple the polymer's rotation and extension through hydrodynamic drag, regulating their Lagrangian mechanics. These findings emphasize the importance of Lagrangian polymer history and the need to account for non-trivial intra-molecular mechanics to improve constitutive descriptions of viscoelastic flows.

physics.flu-dyn

Strain rate controls alignment in growing bacterial monolayers

Growing monolayers of rod-shaped bacteria exhibit local alignment similar to extensile active nematics. When confined in a channel or growing inward from a ring, the local nematic order of these monolayers changes to a global ordering with cells throughout the monolayer orienting in the same direction. The mechanism behind this phenomenon is so far unclear, as previously proposed mechanisms fail to predict the correct alignment direction in one or more confinement geometries. We present a strain-based model relating net deformation of the growing monolayer to the cell-level deformation resulting from single-cell growth and rotation, producing predictions of cell orientation behavior based on the velocity field in the monolayer. This model correctly predicts the direction of preferential alignment in channel-confined, inward-growing, and unconfined colonies. The model also quantitatively predicts orientational order when the velocity field has no net negative strain rate in any direction. We further test our model in simulations of expanding colonies confined to spherical surfaces. Our model and simulations agree that cells away from the origin cell orient radially relative to the colony's center. Additionally, our model's quantitative prediction of the orientational order agrees with the simulation results in the top half of the sphere but fails in the lower half where there is a net negative strain rate. The success of our model bridges the gap between previous works on cell alignment in disparate confinement geometries and provides insight into the underlying physical effects responsible for large-scale alignment.

cond-mat.soft

The effect of surface topography on benthic boundary layer flow: implications for marine larval transport and settlement

The effect of substrate topography on the settlement of coral larvae in wave-driven oscillatory flow is investigated using computational fluid dynamics coupled to a 2D agent-based simulation of individual larvae. Substrate topography modifies the boundary layer flow by generating vortices within roughness features that can be ejected into the bulk flow, directly influencing larval transport and settlement. In agreement with recent experimental findings, millimeter-scale ridged topographies were found to increase settlement compared to sub-mm feature heights. At this length scale, ridge spacing-to-height ratios of 10 to 20, spacings of more than 30 coral larval body lengths, resulted in the highest settlement rates. These optimal topographies produce a high averaged vertical velocity variance in the bulk flow, indicating that vertical larval movement to benthic surfaces is dominated by passive transport driven by recirculatory flow structures. Indeed, larval settlement was found to be positively correlated with mean vertical velocity variance, and settlement results with substrates comprising complex multiscale roughness were quantitatively similar to those with a simple rectangular model. Our findings reveal how substrates can be designed with surface features to promote larval settlement in natural flow conditions above shallow coral reefs independent of biological cues and substrate material composition.

physics.flu-dyn

Stress and Alignment Response to Curved Obstacles in Growing Bacterial Monolayers

Monolayers of growing bacteria, confined within channel geometries, exhibit self-organization into a highly aligned laminar state along the axis of the channel. Although this phenomenon has been observed in experiments and simulations under various boundary conditions, the underlying physical mechanism driving this alignment remains unclear. In this study, we conduct simulations of growing bacteria in 2D channel geometries perturbed by fixed obstacles, either circular or arc-shaped, placed at the channel's center. Our findings reveal that even sizable obstacles cause only short-ranged disruptions to the baseline laminar state. These disruptions arise from a competition between local planar anchoring and bulk laminar alignment. At smaller obstacle sizes, bulk alignment fully dominates, while at larger sizes, planar anchoring induces increasing local disruptions. Furthermore, our analysis indicates that the resulting configurations of the bacterial system display a striking resemblance to the arrangement of hard-rod smectic liquid crystals around circular obstacles. This suggests that modeling hard-rod bacterial monolayers as smectic, rather than nematic, liquid crystals may yield successful outcomes. The insights gained from our study contribute to the expanding body of research on bacterial growth in channels. Our work provides new perspectives on the stability of the laminar state and extends our understanding to encompass more intricate confinement schemes.

cond-mat.soft

Growth-induced phase changes in swimming bacteria at finite liquid interfaces

We introduce a system of bacteria confined to a finite 2D oil-water interface and driven on two distinct time scales by motility and by growth. The combined effect of activity on different time scales creates transitions between several common collective behaviors. These transitions are observed using time-lapse microscopy with high spatial and temporal resolution over eight hours. We sequentially observe an initial dilute state, a clustered state, an active turbulent state, and a glassy state, and we are able to directly observe and characterize the transitions between these states. This system allows the investigation of emergent effects surrounding transitions between phases, expanding on studies that have considered them in isolation. In particular, a peak in the velocity correlation length is observed at the turbulent-glassy transition, suggesting that this transition significantly increases the active turbulent length scale.

cond-mat.soft

Synchronous oscillatory electro-inertial focusing of microparticles

Here, results are presented on the focusing of $1 \ \mu$m polystyrene particle suspensions using a synchronous oscillatory pressure-driven flow and oscillatory electric field in a microfluidic device. The effect of the phase difference between the oscillatory fields on the focusing position and focusing efficiency was investigated. The focusing position of negatively charged polystyrene particles could be tuned anywhere between the channel centerline to the channel walls. Similarly, the focusing efficiency could range from $20\%$ up to $90\%$, depending on the phase difference, for particle Reynolds numbers of order $O(10^{-4})$. The migration velocity profile was measured and the peak velocity was found to scale linearly with both the oscillatory pressure-driven flow amplitude and oscillatory electric field amplitude. Furthermore, the average migration velocity was observed to scale with the cosine of the phase difference between the fields, indicating the coupled non-linear nature of the phenomenon. Lastly, the peak migration velocity was measured for different particle radii and found to have an inverse relation, where the velocity increased with decreasing particle radius for identical conditions.

physics.flu-dyn

Direct observations of rising oil droplets deformed by hydrocarbonoclastic bacteria

In marine environments, microscopic droplets of spilled oil can be transported over tens or hundreds kilometers in the water column. As this oil is biodegraded, growing bacteria on the droplets' surface can deform the oil-water interface to generate complex shapes and significantly enlarge droplets. A complete understanding of the fate and transport of spilled oil requires bridging the present gap between these length scales and determining how microscale processes affect large-scale transport of oil. Here, we describe experimental results describing rising oil droplets in a purpose-built hydrodynamic treadmill which rotates to keep droplets stationary in the lab frame for continuous, direct observation. Droplets of radii 10-100 $\mu$m are colonized and deformed by bacteria over several days before their rising speeds through the water column are measured. Rising speeds of deformed droplets are significantly slower as a result of bio-aggregate formation at the droplet surface compared to those of droplets of weathered or unweathered oil without bacteria. Additionally, we discover bio-aggregate particles of oil and bacterial biofilms which sink through the water column. The composition of these particles is quantified using fluorescence microscopy. These results have important implications for the study of oil transport following a spill, as colonization by bacteria can cause oil droplets to remain in the water column for months or years longer than otherwise expected. An improved understanding of the physical transformations of oil droplets during biodegradation shows promise for significantly improving models of oil spills. Additionally, the formation of sinking particles of oil and bacteria presents a new vector for hydrocarbon sedimentation and potential marine oil snow formation.

physics.flu-dyn

Microdomains and Stress Distributions in Bacterial Monolayers on Curved Interfaces

Monolayers of growing non-motile rod-shaped bacteria act as active nematic materials composed of hard particles rather than the flexible components of other commonly studied active nematics. The organization of these granular monolayers has been studied on flat surfaces but not on curved surfaces, which are known to change the behavior of other active nematics. We use molecular dynamics simulations to track alignment and stress in growing monolayers fixed to curved surfaces, and investigate how these vary with changing surface curvature and cell aspect ratio. We find that the length scale of alignment (measured by average microdomain size) increases with cell aspect ratio and decreases with curvature. Additionally, we find that alignment controls the distribution of extensile stresses in the monolayer by concentrating stress in low-order regions. These results connect active nematic physics to bacterial monolayers and can be applied to model bacteria growing on droplets, such as marine oil-degrading bacteria.

cond-mat.soft

An in vitro living system for flow rectification

Small - but finite - fluid inertia can be leveraged to generate steady flows out of liquid vibrations around an immersed interface. In engineering, external high-frequency drivers (10$^2$-10$^5$ Hz) allow this inertial rectification phenomenon, known as viscous streaming, to be employed in micron-scale devices for precise flow control, particle manipulation and spatially controlled chemistry. However, beyond artificial settings, streaming may also be accessed by larger-scale biological systems pertaining to lower frequencies. Then, millimeter-size bacteria or larvae that oscillate cilia and appendages in the 1-10Hz range may be able to endogenously rectify surrounding flows, for feeding or locomotion, removing the need for external actuators, tethers or tubings. In support of this hypothesis, here we demonstrate an in vitro living system able to produce streaming flows, endogenously, autonomously and unassisted. Computationally informed, our biological device generates oscillatory flows through the cyclic contractions of an engineered muscle tissue, shaped in the form of a ring and suspended in fluid within a Micro-Particle Image Velocimetry setup, for analysis. Flow patterns consistent with streaming simulations are observed for low-frequency muscle contractions (2-4Hz), either spontaneous or light-induced, illustrating system autonomy and controllability, respectively. Thus, this work provides experimental evidence of biologically powered streaming in untethered millimeter-scale living systems, showcasing the utility of bio-hybrid technology for fundamental and applied fluid mechanics.

physics.flu-dyn

Tubulation and dispersion of oil by bacterial growth on droplets

Bacteria on surfaces exhibit collective behaviors, such as active turbulence and active stresses, which result from their motility, growth, and interactions with their local surroundings. However, interfacial deformations on soft surfaces and liquid interfaces caused by active growth, particularly over long time scales, are not well understood. Here, we describe experimental observations on the emergence of tubular structures arising from the growth of rod-shaped bacteria at the interface of oil droplets in water. Using microfluidics and timelapse microscopy, the dimensions and extension rates of individual tubular structures as well as bulk bio-aggregate formation are quantified for hundreds of droplets over 72 hours. Tubular structures are comparable in length to the initial droplet radius and are composed of an outer shell of bacteria that stabilize an inner filament of oil. The oil filament breaks up into smaller microdroplets dispersed within the bacterial shell. This work provides insight into active stresses at deformable interfaces and improves our understanding of microbial oil biodegradation and its potential influence on the transport of droplets in the ocean water column.

cond-mat.soft

Millimeter-scale topography enables coral larval settlement in wave-driven oscillatory flow

Larval settlement in wave-dominated, nearshore environments is the most critical life stage for a vast array of marine invertebrates, yet it is poorly understood and virtually impossible to observe in situ. Using a custom-built flume tank that mimics the oscillatory fluid flow over a shallow coral reef, we show that millimeter-scale benthic topography increases the settlement of slow-swimming coral larvae by an order of magnitude relative to flat substrates. Particle tracking velocimetry of flow fields revealed that millimeter-scale ridges introduced regions of flow recirculation that redirected larvae toward the substrate surface and decreased the local fluid speed, effectively increasing the window of time for larvae to settle. In agreement with experiments, computational fluid dynamics modeling and agent-based larval simulations also showed significantly higher settlement on ridged substrates. These findings highlight how physics-based substrate design can create new opportunities to increase larval recruitment for ecosystem restoration.

physics.flu-dyn

Effect of dispersants on bacterial colonization of oil droplets: a microfluidic approach

Bacteria biodegradation of immiscible oil requires cell-droplet encounters, surface attachment, and hydrocarbon metabolism. Chemical dispersants are applied to oil spills to reduce the mean dispersed droplet size, thereby increasing the available surface area for attachment, in attempts to facilitate bacterial biodegradation. However, their effectiveness remains contentious as studies have shown that dispersants can inhibit, enhance, or have no effect on biodegradation. Therefore, questions remain on whether dispersants affect surface attachment or cell viability. Here, using microfluidics and time-lapse microscopy, we directly observe the attachment and growth of the marine bacterium, \emph{Alcanivorax borkumensis}, on stationary crude oil droplets ($5$ \textmu m $< R < 150$ \textmu m) in the presence of Corexit 9500. We show that the average colonization time, or the time comprised of encounters, attachment, and growth, is dependent on droplet size and primarily driven by diffusive encounters. Our results suggest that dispersants do not inhibit or enhance these biophysical processes.

physics.bio-ph

Multi-curvature viscous streaming: flow topology and particle manipulation

Viscous streaming refers to the rectified, steady flows that emerge when a liquid oscillates around an immersed microfeature, typically a solid body or a bubble. The ability of such features to locally concentrate stresses produces strong inertial effects to which both fluid and immersed particles respond within short length (O(100) microns) and time (milliseconds) scales, rendering viscous streaming arguably the most efficient mechanism to exploit inertia at the microscale. Despite this potential, viscous streaming has been investigated in rather narrow conditions, mostly making use of bodies of uniform curvature (cylinders, spheres) for which induced flow topologies are constrained to only two regimes, classically referred to as single and double layer regimes. This severely limits the scope of potential applications, and sits in stark contrast to inertial focusing (the approach that perhaps has most defined the field of inertial microfluidics), where instead boundaries with multiple curvatures have long been utilised to magnify inertial effects, expand design space, and enable novel applications. Here, we demonstrate that a multi-curvature approach in viscous streaming dramatically extends the range of accessible flow topologies. We show that numerically predicted, but never experimentally observed, streaming flows can be physically reproduced, computationally engineered, and in turn used to enhance particle manipulation, filtering and separation in compact, robust, tunable and inexpensive devices. Overall, this study provides an avenue to unlock the utility of viscous streaming with potential applications in manufacturing, environment, health and medicine, from particle self-assembly to microplastics removal.

physics.flu-dyn

Generation and application of sub-kilohertz oscillatory flows in microchannels

We present a user-friendly and versatile experimental technique that generates sub-kilohertz sinusoidal oscillatory flows within microchannels. The method involves the direct interfacing of microfluidic tubing with a loudspeaker diaphragm to generate oscillatory flow in microchannels with frequencies ranging from $10-1000$ Hz and amplitudes ranging from $10 - 600 \ \mu$m. The speaker-based apparatus allows independent control of frequency and amplitude that is unique to the speaker's manufacturing specifications. The performance of our technique is evaluated by Fourier spectral analysis of oscillatory motion of tracer particles, obtained by particle tracking velocimetry, as well as by comparing oscillatory flow profiles against theoretical benchmarks such as Stokes flow in a square channel and Stokes' second problem near a solid boundary. Applications that utilize both the oscillatory flow and the associated steady rectified flows are demonstrated in prototypical microfluidic configurations. These include inertial focusing and mixing at low Reynolds numbers, respectively.

physics.flu-dyn

Modeling the impact of dilution on the microbial degradation time of dispersed oil in marine environments

Dispersants aid the breakup of crude oil masses and increase the available interfacial surface area for bacteria to degrade insoluble hydrocarbons in the marine environment. However, this common view neglects key aspects of the microscale interactions between bacteria and oil droplets, particularly the encounters between these elements that are required for degradation to occur. This chapter discusses a biophysical model for hydrocarbon consumption of suspended oil droplets under conditions of rapid dilution that occur in natural environments. Based on the model, which includes typical biological growth parameters, dilution is found to produce an effective delay in the onset of biodegradation by approximately a week. The steady and rapid reduction in oil concertation, due to dilution, is found to outpace the production of oil-degrading bacteria that result from colonization of degrading oil droplets, maintaining the process in an encounter-limited state. This mechanistic model provides a baseline for better understanding of microscale biodegradation in dilute oil environments and can help inform the design of mitigation strategies in marine systems.

physics.ao-ph

Steady streaming flows in viscoelastic liquids

We discuss experimental investigations on steady streaming flows of dilute and semi-dilute polymer solutions in microfluidic devices. The effect of non-Newtonian behavior on steady streaming for different model fluids is determined by characterizing the evolution of the inner streaming layer as a function of oscillation frequency using particle tracking velocimetry. We find that steady streaming velocity profiles in constant-viscosity elastic liquids are qualitatively similar to those in Newtonian liquids. Steady streaming velocity profiles in elastic liquids with strong shear thinning, however, display two unique features: (i) a non-monotonic evolution of the inner streaming layer with increasing frequency, first growing then decreasing in width, and (ii) a clear asymmetry in the flow profile at high frequencies.

physics.flu-dyn

Steady streaming viscometry of Newtonian liquids in microfluidic devices

We report a novel technique capable of measuring the kinematic shear viscosity of Newtonian liquids with steady streaming in microfluidic devices. This probe-free microrheological method utilizes sub-kilohertz liquid oscillation frequencies around a cylindrical obstacle, ensuring that the inner streaming layer is comparable in size to the cylinder radius. To calibrate the viscometer, the evolution of the inner streaming layer as a function of oscillation frequency for a liquid of known viscosity is characterized using standard particle tracking techniques. Once calibrated, we show how the steady streaming viscometer can be used to measure low-viscosity liquids and volatile liquids.

physics.flu-dyn

Splash control of drop impacts with geometric targets

Drop impacts on solid and liquid surfaces exhibit complex dynamics due to the competition of inertial, viscous, and capillary forces. After impact, a liquid lamella develops and expands radially, and under certain conditions, the outer rim breaks up into an irregular arrangement of filaments and secondary droplets. We show experimentally that the lamella expansion and subsequent break up of the outer rim can be controlled by length scales that are of comparable dimension to the impacting drop diameter. Under identical impact parameters, ie. fluid properties and impact velocity, we observe unique splashing dynamics by varying the target cross-sectional geometry. These behaviors include: (i) geometrically-shaped lamellae and (ii) a transition in splashing stability, from regular to irregular splashing. We propose that regular splashes are controlled by the azimuthal perturbations imposed by the target cross-sectional geometry and that irregular splashes are governed by the fastest-growing unstable Plateau-Rayleigh mode.

physics.flu-dyn