SEARCH · Searcharxiv

Results for “physics.flu-dyn”

Search indexed arXiv papers on artificial intelligence, large language models, computer vision and robotics. Read source abstracts and follow links to arXiv.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 595 records · Page 33Linked to original sources

arXiv2014

HPC realization of a controlled turbulent round jet using OpenFOAM

The present paper investigates high performance computing abilities of OpenFOAM for a low Reynolds number ($Re_D=2000$) axisymmetric jet subject to multiple zero net mass flux (ZNMF) actuators. First, parallel performance of OpenFOAM is tested by performing a scaling study up to $2048$ processors on a supercomputer of Flemish Supercomputer Center(VSC). Then, a method to improve the parallel efficiency is proposed. The method is based on developing a hybrid concept to calculate the statistical moments. This new concept combines ensemble and time averaging in order to allow data sampling in parallel. The motivation is obtaining a reduction in the walltime to collect turbulent statistics which is observed to be the dominating part in the ZNMF controlled jet flow. Employing this parallel statistical averaging approach in combination with regular grid partitioning parallelism, allowed us conducting DNS cases on $P=624$ processors with an overall speed-up of $S_e=540.56$ and a parallel efficiency of $E_e=0.87$. The parallelization using only grid partitioning exhibited inferior performance with $S_e=423.94$ and $E_e=0.68$. In addition to develop a methodology to increase the parallel performance, we reduced the time step cost of the existing unsteady solver as well. To this end, an incremental projection method is implemented into OpenFOAM and a performance gain above $30\%$ is realized.

physics.flu-dyn↗

arXiv2014

Thermocapillary migration of a droplet with a thermal source at large Reynolds and Marangoni numbers

The {\it unsteady} process for thermocapillary droplet migration at large Reynolds and Marangoni numbers has been previously reported by identifying a nonconservative integral thermal flux across the surface in the {\it steady} thermocapillary droplet migration, [Wu and Hu, J. Math. Phys. {\bf 54} 023102, (2013)]. Here we add a thermal source in the droplet to preserve the integral thermal flux across the surface as conservative, so that thermocapillary droplet migration at large Reynolds and Marangoni numbers can reach a {\it quasi-steady} process. Under assumptions of {\it quasi-steady} state and non-deformation of the droplet, we make an analytical result for the {\it steady} thermocapillary migration of droplet with the thermal source at large Reynolds and Marangoni numbers. The result shows that the thermocapillary droplet migration speed slowly increases with the increase of Marangoni number.

physics.flu-dyn↗

arXiv2014

Plastic flow of foams and emulsions in a channel

In order to understand the flow profiles of complex fluids, a crucial issue concerns the emergence of spatial correlations among plastic rearrangements exhibiting cooperativity flow behaviour at the macroscopic level. In this paper, the rate of plastic events in a Poiseuille flow is experimentally measured on a confined foam in a Hele-Shaw geometry. The correlation with independently measured velocity profiles is quantified. To go beyond a limitation of the experiments, namely the presence of wall friction which complicates the relation between shear stress and shear rate, we compare the experiments with simulations of emulsion droplets based on the lattice-Boltzmann method, which are performed both with, and without, wall friction. Our results indicate a correlation between the localisation length of the velocity profiles and the localisation length of the number of plastic events. Finally, unprecedented results on the distribution of the orientation of plastic events show that there is a non-trivial correlation with the underlying local shear strain. These features, not previously reported for a confined foam, lend further support to the idea that cooperativity mechanisms, originally invoked for concentrated emulsions (Goyon et al. 2008), have parallels in the behaviour of other soft-glassy materials.

physics.flu-dyn↗

arXiv2014

Foams in a rotating drum

A nearly two-dimensionnal foam is generated inside a Hele-Shaw cell half-filled with a surfactant solution. The cell is then placed vertically on a tumbler so that it rotates around its center with the cell angular velocity as the control parameter. During the foam rotation the liquid fraction increases and the foam/liquid interface deforms. The shear velocity profiles generated inside the foam are studied along two representative lines. The foam rheological properties are obtained using statistical tools and allow us to determine the foam effective viscosity. A semiempirical model is proposed for these velocity profiles, emphasizing the significance of the viscous dissipations between the bubbles and with the cell walls.

cond-mat.soft↗

arXiv2014

Predictability Horizon of Oceanic Rogue Waves

Prediction is a central goal and a yet-unresolved challenge in the investigation of oceanic rogue waves. Here we define a horizon of predictability for oceanic rogue waves and derive, via extensive computational experiments, the first statistically-converged predictability time-scale for these structures. We show that this time-scale is a function of the sea state as well as the strength (i.e. overall height) of the expected rogue wave. The presented predictability time-scale establishes a quantitative metric on the combined temporal effect of the variety of mechanisms that together lead to the formation of a rogue wave, and is crucial for the assessment of validity of rogue waves predictions, as well as for the critical evaluation of results from the widely-used model equations. The methodology and presented results can have similar implications in other systems admitting rogue waves, e.g. nonlinear optics and plasma physics.

physics.flu-dyn↗

arXiv2014

Cell detachment and label-free cell sorting using modulated surface acoustic waves (SAW) in droplet-based microfluidics

We present a droplet-based surface acoustic wave (SAW) system designed to viably detach biological cells from a surface and sort cell types based on differences in adhesion strength (adhesion contrast), without the need to label cells with molecular markers. The system uses modulated SAW to generate pulsatile flows in the droplets and efficiently detach the cells, thereby minimizing SAW excitation power and exposure time. As a proof-of-principle, the system is shown to efficiently sort HEK 293 from A7r5 cells based on adhesion contrast. Results are obtained in minutes with sorting purity and efficiency reaching 97 % and 95 %, respectively.

physics.bio-ph↗

arXiv2014

Tractor beam on the water surface

Can one send a wave to bring an object from a distance? The general idea is inspired by the recent success in moving micro particles using light and the development of a tractor beam concept. For fluid surfaces, however, the only known paradigm is the Stokes drift model, where linear planar waves push particles in the direction of the wave propagation. Here we show how to fetch a macroscopic floater from a large distance by sending a surface wave towards it. We develop a new method of remote manipulation of floaters by forming inward and outward surface jets, stationary vortices, and other complex surface flows using nonlinear waves generated by a vertically oscillating plunger. The flows can be engineered by changing the geometry and the power of a wave maker, and the flow dissipation. The new method is robust and works both for long gravity and for short capillary waves. We use a novel method of visualising 3D particle trajectories on the surface. This letter introduces a new conceptual framework for understanding wave-driven flows. The results form the basis for remote manipulation of objects on the fluid surfaces and will help better understanding motion of floaters on the ocean surface and the generation of wave-driven jets.

physics.flu-dyn↗

arXiv2014

Onset of plane layer magnetoconvection at low Ekman number

We study the onset of magnetoconvection between two infinite horizontal planes subject to a vertical magnetic field aligned with background rotation. In order to gain insight into the convection taking place in the Earth's tangent cylinder (TC), we target regimes of asymptotically strong rotation. The critical Rayleigh number $Ra_{c}$ and critical wavenumber are computed numerically by solving the linear stability problem in a systematic way. A parametric study is conducted, varying the Ekman number, $E$ (ratio of viscous to Coriolis forces) and the Elsasser number, $Λ$ (ratio of the Lorentz force to the Coriolis force). $E$ is varied from $10^{-9}$ to $10^{-2}$ and $Λ$ from $10^{-3}$ to $1$. Apply to arbitrary thermal and magnetic Prandtl numbers, our results verify and confirm previous experimental and theoretical results showing the existence of two distinct unstable modes at low values of $E$ one being controlled by the magnetic field, the other being controlled by viscosity (often called the viscous mode). Asymptotic scalings for the onset of these modes have been numerically confirmed and precisely quantified. We show that with no-slip boundary conditions, the asymptotic behaviour is reached for $E<10^{-6}$ and establish a map in the $(E,Λ)$ plane. We distinguish regions where convection sets in either in the magnetic mode or in the viscous mode. Our analysis gives the regime in which the transition between magnetic and viscous modes may be observed. We also show that within the asymptotic regime, the role played by the kinematic boundary conditions is minimal.

physics.flu-dyn↗

arXiv2014

Early-time interface instabilities in high intensity aero-breakup of liquid drop

The early-time interface instabilities in high intensity (high Weber number and high Reynolds number) aero-breakup of a liquid drop are investigated by numerical simulations. A combined analysis based on simulation results and linear-instability theory show that both RT (Rayleigh-Taylor) and KH (Kelvin-Helmholtz) instabilities contributes the dominant disturbances originate from about the half way from the stagnation point to the equator. This is verified further with a specially modified simulation, which decreases the effect of KH instability while keeps other flow properties unchanged.

physics.flu-dyn↗

arXiv2014

A Set of Statistical Variables for Hydrodynamic Flow

Through a discussion of some typical unsteady hydrodynamic flows, we argue that the time averaged hydrodynamic functions at each point give a rather sparse filling of the local jet space. This situation then suggests a set of time dependent probability functions that are shown to give evolution uniquely defined by the Navier-Stokes equations through a set of "differential distribution equations." The closure relations are therefore unique and have no ad hoc characteristics. Annealing methods are proposed as a way to arrive at the stable stationary solutions corresponding to time averaged fluid flow with constant driving forces and fixed boundary conditions. Some applications of this method to quantum statistical mechanics and kinetic theory to higher orders are suggested.

physics.flu-dyn↗

arXiv2014

2D and Axisymmetric Incompressible Elastic Green's Functions

We compile a list of 2-D and axisymmetric Green's functions for isotropic full and half spaces, to complement our letter "Linear elasticity of incompressible solids". We also extend the isotropic exactly incompressible linear theory from our letter to include isotropic neo-Hookean solids subject to a large pre-strain, and present Green's functions in these cases. The Green's function for a pre-strained half-space reproduces the Biot instability.

cond-mat.soft↗

arXiv2014

Modelling suspended sediment in environmental turbulent fluids

Modelling sediment transport in environmental turbulent fluids is a challenge. This article develops a sound model of the lateral transport of suspended sediment in environmental fluid flows such as floods and tsunamis. The model is systematically derived from a 3D turbulence model based on the Smagorinski large eddy closure. Embedding the physical dynamics into a family of problems and analysing linear dynamics of the system, centre manifold theory indicates the existence of slow manifold parametrised by macroscale variables. Computer algebra then constructs the slow manifold in terms of fluid depth, depth-averaged lateral velocities, and suspended sediment concentration. The model includes the effects of sediment erosion, advection, dispersion, and also the interactions between the sediment and turbulent fluid flow. Vertical distributions of the velocity and concentration in steady flow agree with the established experimental data. Numerical simulations of the suspended sediment under large waves show that the developed model predicts physically reasonable phenomena.

math.DS↗

arXiv2014

An amplitude equation for long, nonlinear internal waves in a weak shear flow over topography

A forced, variable coefficients Kor\-te\-weg-de Vries equation for amplitudes of long, nonlinear internal waves in a stratified shear flow over topography is derived when the magnitude of the basic flow is small. The derivation is done by incorporating the basic flow in the perturbation series of the Taniuti and Wei's reductive perturbation method. Istead of the long-wave Tailor-Goldstein spectral problem, only the usual long-wave spectral problem for rested stratified media and a boundary value problem have to be solved for calculating the coefficients of obtained equation. Explicit expressions for these coefficients are presented.

physics.ao-ph↗

arXiv2014

Propagation Distance Required to Reach Steady-State Detonation Velocity in Finite-Sized Charges

The decay of a detonation wave from its initial CJ velocity to its final, steady state velocity upon encountering a finite thickness or diameter charge is investigated numerically and theoretically. The numerical simulations use an ideal gas equation of state and pressure dependent reaction rate in order to ensure a stable wave structure. The confinement is also treated as an ideal gas with variable impedance. The velocity decay along the centerline is extracted from the simulations and compared to predictions base on a front evolution equation that uses the steady state detonation velocity-front curvature relation ($D_n-κ$). This model fails to capture the finite signaling speed of the leading rarefaction resulting from the interaction with the yielding confinement. This signaling speed is verified to be the maximum signal velocity occurring in the ideal ZND wave structure of the initial CJ velocity. A simple heuristic model based on the rarefaction generated by a one-dimensional interaction between the post-shock state and the confinement is proposed to provide an approximate description of the rest of the relaxation to steady state velocity.

physics.flu-dyn↗

arXiv2014

Kinematics of Clustering

The dynamical system for inertial particles in fluid flow has both attracting and repelling regions, the interplay of which can localize particles. In laminar flow experiments we find that particles, initially moving throughout the fluid domain, can undergo an instability and cluster into subdomains of the fluid when the flow Reynolds number exceeds a critical value that depends on particle and fluid inertia. We derive an expression for the instability boundary and for a universal curve that describes the clustering rate for all particles.

physics.flu-dyn↗

arXiv2014

The Role of Variability in Transport for Large-Scale Flow Dynamics

We develop a framework to study the role of variability in transport across a streamline of a reference flow. Two complementary schemes are presented: a graphical approach for individual cases, and an analytical approach for general properties. The spatially nonlinear interaction of dynamic variability and the reference flow results in flux variability. The characteristic time-scale of the dynamic variability and the length-scale of the flux variability in a unit of flight-time govern the spatio-temporal interaction that leads to transport. The non-dimensional ratio of the two characteristic scales is shown to be a a critical parameter. The pseudo-lobe sequence along the reference streamline describes spatial coherency and temporal evolution of transport. For finite-time transport from an initial time up to the present, the characteristic length-scale of the flux variability regulates the width of the pseudo-lobes. The phase speed of pseudo-lobe propagation averages the reference flow and the flux variability. In contrast, for definite transport over a fixed time interval and spatial segment, the characteristic time-scale of the dynamic variability regulates the width of the pseudo-lobes. Generation of the pseudo-lobe sequence appears to be synchronous with the dynamic variability, although it propagates with the reference flow. In either case, the critical characteristic ratio is found to be one, corresponding to a resonance of the flux variability with the reference flow. Using a kinematic model, we demonstrate the framework for two types of transport in a blocked flow of the mid-latitude atmosphere: across the meandering jet axis and between the jet and recirculating cell.

physics.flu-dyn↗

arXiv2014

Evidence of a cyclonic regime in a precessing cylindrical container

We report experimental observations obtained by particule image velocimetry (PIV) of the behavior of a flow driven by rotation and precession of a cylindrical container. Various hydrodynamical regimes are identified according to the value of the control parameter which is the ratio of the precession frequency to the rotation frequency. In particular when this parameter is increased from small values, we have observed an induced differential rotation followed by the apparition of permanent cyclonic vortices.

physics.flu-dyn↗

arXiv2014

A nonlinear evolution equation for pulsating detonations using Fickett's model with chain branching kinetics

The detonation wave stability is addressed using Fickett's equation, i.e., the reactive form of Burgers' equation. This serves as a simple analogue to the reactive Euler equations, permitting one to gain insight into the nonlinear dynamics of detonation waves. Chemical kinetics were modeled using a two-step reaction with distinct induction and reaction zones. An evolution equation for the detonation structure was derived using the method of matched asymptotics for large activation energy and slow rate of energy release. While the first order solution was found unconditionally unstable, the second order evolution equation predicted both stable and unstable solutions. The neutral stability boundary was found analytically, given by $χ=4$, where $χ$ is the product of activation energy and the ratio of induction to reaction time. This reproduces accurately what has been previously established for the reactive Euler equations and verified experimentally. The evolution equation also captures stable limit cycle oscillations in the unstable regime and offers unique insight into the instability mechanism. The mechanism amplifying the perturbations lies within the induction zone, where the Arrhenius-type rate equation provides a large change in induction times for small perturbations. The mechanism attenuating the perturbations arises from acoustic effects, which delays the amplification of the shock front. The longer the detonation wave, the more time it takes for the amplification from the reaction zone to reach the shock front, creating gradients that counter-act the amplification from the flame acceleration. The results agree with direct numerical simulation, as well as recovering many similarities with the reactive Euler equation.

physics.flu-dyn↗