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The statistical properties of species undergoing chemical reactions in a turbulent environment are studied. We focus on the case of reversible multi-component reactions of second and higher orders, in a condition close to chemical…

Fluid Dynamics · Physics 2020-08-25 Wenwei Wu , Enrico Calzavarini , François G. Schmitt , Lipo Wang

A three-dimensional, steady, laminar shear-layer flow spatially developing under a boundary-layer approximation with mixing, chemical reaction, and imposed normal strain is analyzed. The imposed strain creates a counterflow that stretches…

Fluid Dynamics · Physics 2022-12-14 Jonathan L. Palafoutas , William A. Sirignano

The optimization of the mixing of a passive scalar at finite P\'eclet number $Pe=Uh/\kappa$ (where $U,h$ are characteristic velocity and length scales and $\kappa$ is the scalar diffusivity) is relevant to many significant flow challenges…

Fluid Dynamics · Physics 2022-11-23 Conor Heffernan , Colm-cille Caulfield

Mixing fronts form when fluids with different chemical compositions are brought into contact. They influence a large range of biogeochemical processes in hydrological systems. An important mechanism governing mixing rates in such fronts is…

Fluid Dynamics · Physics 2023-09-13 Gauthier Rousseau , Satoshi Izumoto , Tanguy Le Borgne , Joris Heyman

We study turbulent diffusion of chemically reacting gaseous admixtures in a developed turbulence. In our previous study [Phys. Rev. Lett. {\bf 80}, 69 (1998)] using a path-integral approach for a delta-correlated in time random velocity…

Fluid Dynamics · Physics 2014-11-19 Tov Elperin , Nathan Kleeorin , Michael Liberman , Igor Rogachevskii

Scalar mixing fronts develop at the interface of agitated fluids of different solute concentrations. In such fronts, scalar fluctuations form at both microscopic and macroscopic scales, due to stretching-enhanced molecular diffusion and…

Fluid Dynamics · Physics 2026-05-18 Heyman Joris , Le Borgne Tanguy , Lester Daniel

Three-dimensional laminar flow structures with mixing, chemical reaction, normal strain, and shear strain qualitatively representative of turbulent combustion at the small scales are analyzed. A mixing layer is subjected to counterflow in…

Fluid Dynamics · Physics 2020-12-16 William A. Sirignano

We investigate the mixing properties of scalars stirred by spatially smooth, divergence-free flows and maintained by a steady source-sink distribution. We focus on the spatial variation of the scalar field, described by the {\it dissipation…

Fluid Dynamics · Physics 2015-05-27 Alexandros Alexakis , Alexandra Tzella

Prediction of reactive transport in porous media remains challenging when pore scale incomplete mixing is at play. Previous experimental studies investigated chemical reactions in porous media by visualizing reaction product or reactants…

Fluid Dynamics · Physics 2023-06-09 Satoshi Izumoto , Gauthier Rousseau , Tanguy Le Borgne , Joris Heyman

In a highly turbulent medium characterized by a low Damk\"ohler number Da, reactions are commonly considered to occur in distributed zones broadened by small-scale turbulent eddies. In the present communication, an alternative regime of…

Fluid Dynamics · Physics 2018-06-18 Vladimir Sabelnikov , Rixin Yu , Andrei Lipatnikov

A change of solute dispersion regime with the flow velocity has been studied both at the macroscopic and pore scales in a transparent array of capillary channels using an optical technique allowing for simultaneous local and global…

Fluid Dynamics · Physics 2007-05-23 Maria Veronica D'Angelo , Harold Auradou , Catherine Allain , Jean-Pierre Hulin

A numerical method to efficiently solve for mixing and reaction of scalars in a two-dimensional flow field at large P\'eclet numbers but otherwise arbitrary Damk\"ohler numbers is reported. We consider a strip of one reactant in a pool of…

Fluid Dynamics · Physics 2016-06-17 Aditya Bandopadhyay , Tanguy Le Borgne , Yves Méheust

We study the pore-scale transport of a conservative scalar forming an advancing mixing front, which can be re-interpreted to predict instantaneous mixing-limited bimolecular reactions. We investigate this using a set of two-dimensional,…

Fluid Dynamics · Physics 2024-11-07 Saif Farhat , Guillem Sole-Mari , Diogo Bolster

Periodic boundary conditions for planar mixed flows are implemented in the context of a multi-chain Brownian dynamics simulation algorithm. The effect of shear rate $\dot{\gamma}$, and extension rate $\dot{\epsilon}$, on the size of polymer…

Soft Condensed Matter · Physics 2020-07-03 Aashish Jain , Chandi Sasmal , Remco Hartkamp , B. D. Todd , J. Ravi Prakash

Increase in viscosity under increasing shear stress, known as shear thickening (ST), is one of the most striking properties of dense particulate suspensions. Under appropriate conditions, they exhibit discontinuous shear thickening (DST),…

Soft Condensed Matter · Physics 2023-10-06 Sachidananda Barik , Akhil Mohanan , Sayantan Majumdar

Replacement reactions during fluid infiltration into porous media, rocks and buildings are known to have important implications for reservoir development, ore formation as well as weathering. Natural observations and experiments have shown…

Small separation between reactants, not exceeding $10^{-8}-10^{-7}cm$, is the necessary condition for various chemical reactions. It is shown that random advection and stretching by turbulence leads to formation of scalar-enriched sheets of…

Chaotic Dynamics · Physics 2015-05-13 Victor Yakhot

The effective dilatational and shear viscosities of a particle-laden fluid interface are computed in the dilute limit under the assumption of an asymptotically vanishing viscosity ratio between both fluids. Spherical particles with a given…

Fluid Dynamics · Physics 2020-10-28 Michael Eigenbrod , Steffen Hardt

Radiative mixing layers arise wherever multiphase gas, shear, and radiative cooling are present. Simulations show that in steady state, thermal advection from the hot phase balances radiative cooling. However, many features are puzzling.…

Astrophysics of Galaxies · Physics 2021-07-12 Brent Tan , S. Peng Oh , Max Gronke

The stationary-state spatial structure of reacting scalar fields, chaotically advected by a two-dimensional large-scale flow, is examined for the case for which the reaction equations contain delay terms. Previous theoretical investigations…

Fluid Dynamics · Physics 2015-05-13 Alexandra Tzella , Peter H. Haynes
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