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Much recent work on planet formation has focused on the growth of planets by accretion of grains whose aerodynamic properties make them marginally coupled to the nebular gas, a theory commonly referred to as "pebble accretion". While pebble…

Earth and Planetary Astrophysics · Physics 2020-08-21 M. M. Rosenthal , R. A. Murray-Clay

We discuss the behavior of the extended sound modes of a dense binary hard-sphere mixture. In a dense simple hard-sphere fluid the Enskog theory predicts a gap in the sound propagation at large wave vectors. In a binary mixture the gap is…

Soft Condensed Matter · Physics 2009-11-11 Supurna Sinha , M. Cristina Marchetti

The existing viscous and incompressible theory of isothermal sound propagation and attenuation in suspensions considers solid particles which are infinitely viscous. We extend the theory by applying the amended Coriolis flowmeter "bubble…

General Physics · Physics 2020-12-21 Nils T. Basse

In bidisperse particle mixtures varying in size or density alone, large particles rise (driven by percolation) and heavy particles sink (driven by buoyancy). When the two particle species differ from each other in both size and density, the…

Soft Condensed Matter · Physics 2021-06-09 Yifei Duan , Paul B. Umbanhowar , Richard M. Lueptow

Connectedness and applied stress strongly affect elasticity in solids. In various amorphous solids, mechanical stability can be lost either by reducing connectedness or by increasing pressure. We present an effective medium theory of…

Soft Condensed Matter · Physics 2014-12-18 Eric DeGiuli , Adrien Laversanne-Finot , Gustavo Düring , Edan Lerner , Matthieu Wyart

We study the emergence of periodic oscillations through a Hopf bifurcation in a scalar diffusion equation on the half line coupled to a dynamic boundary condition. Our results quantify the effect of delay through the buffering in the…

Analysis of PDEs · Mathematics 2026-04-02 Merlin Pelz , Arnd Scheel

We formulate a phenomenological model for the segregation of binary mixtures of rough and smooth granular materials in a rotating drum. Our model successfully replicates a range of experimental behaviours, e.g., rapid radial segregation;…

Condensed Matter · Physics 2007-05-23 Sanjay Puri , Hisao Hayakawa

This dissertation resolves a longstanding discussion of a mathematical problem important in contaminant hydrogeology and chemical-reaction engineering, the proper mathematical description for a miscible solute undergoing longitudinal…

Analysis of PDEs · Mathematics 2007-05-23 W. J. Golz

We investigate bubble deformations in an homogeneous and isotropic turbulent flow by means of direct numerical simulations of a single bubble in turbulence. We examine interface deformations by decomposing the local radius into the…

Fluid Dynamics · Physics 2024-07-24 Aliénor Rivière , Kamel Abahri , Stéphane Perrard

To investigate the mechanism of mixing in oscillatory doubly diffusive (ODD) convection, we truncate the horizontal modal expansion of the Boussinesq equations to obtain a simplified model of the process. In the astrophysically interesting…

Astrophysics · Physics 2009-11-07 Francesco Paparella , Edward A. Spiegel , Suzanne Talon

Around the snow line, icy pebbles and silicate dust may locally pile-up and form icy and rocky planetesimals via streaming instability and/or gravitational instability. We perform 1D diffusion-advection simulations that include the…

Earth and Planetary Astrophysics · Physics 2021-02-03 Ryuki Hyodo , Tristan Guillot , Shigeru Ida , Satoshi Okuzumi , Andrew N. Youdin

It is known that in an unbounded fluid, the inline configuration of a freely rising bubble pair is often unstable with respect to lateral disturbances. This work numerically examines the stability of this configuration in the presence of a…

Fluid Dynamics · Physics 2025-01-14 Haochen Huang , Pengyu Shi , Nina Elkina , Henrik Schulz , Jie Zhang

We demonstrate experimentally that the introduction of a rail, a small height constriction, within the cross-section of a rectangular channel could be used as a robust passive sorting device in two-phase fluid flows. Single air bubbles…

Fluid Dynamics · Physics 2017-12-06 A. Franco-Gomez , A. B. Thompson , A. L. Hazel , A. Juel

Granular materials segregate spontaneously due to differences in particle size, shape, density and flow behaviour. In this paper we experimentally investigate density-difference-driven segregation for a range of density ratios and a range…

Soft Condensed Matter · Physics 2021-05-05 Monica Tirapelle , Andrea Santomaso , Patrick Richard , Riccardo Artoni

We investigate a class of aggregation-diffusion equations with strongly singular kernels and weak (fractional) dissipation in the presence of an incompressible flow. Without the flow the equations are supercritical in the sense that the…

Analysis of PDEs · Mathematics 2020-06-09 Katharina Hopf , José L. Rodrigo

The LIGO/Virgo detections of compact object mergers have posed a challenge for theories of binary evolution and coalescence. One promising avenue for producing mergers dynamically is through secular eccentricity oscillations driven by an…

Astrophysics of Galaxies · Physics 2023-12-06 Chris Hamilton , Roman R. Rafikov

We investigate the dispersion of a passive scalar such as the concentration of a chemical species, or temperature, in homogeneous bubbly suspensions, by determining an effective diffusivity tensor. Defining the longitudinal and transverse…

Fluid Dynamics · Physics 2023-01-03 Aurore Loisy , Aurore Naso , Peter D. M. Spelt

Spontaneous segregation of run-and-tumble particles with different velocities in microchannels is investigated by numerical simulations. Self-propelled particles are known to accumulate in the proximity of walls. Here we show how fast…

Soft Condensed Matter · Physics 2014-09-05 Andrea Costanzo , Jens Elgeti , Thorsten Auth , Gerhard Gompper , Marisol Ripoll

We derive an effective medium theory for acoustic wave propagation in bubbly fluid near Minnaert resonant frequency. We start with a multiple scattering formulation of the scattering problem of an incident wave by a large number of…

Analysis of PDEs · Mathematics 2016-04-29 Habib Ammari , Hai Zhang

We present experimental evidence that a bubble moving in a fluid in which a well-chosen acoustic noise is superimposed can be significantly slowed down for moderate acoustic pressures. Through mean velocity measurements, we show that a…

Fluid Dynamics · Physics 2015-05-18 Remi Dangla , Cedric Poulain
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