Using multiscale norms to quantify mixing and transport
JL Thiffeault - Nonlinearity, 2012 - iopscience.iop.org
Mixing is relevant to many areas of science and engineering, including the pharmaceutical
and food industries, oceanography, atmospheric sciences and civil engineering. In all these …
and food industries, oceanography, atmospheric sciences and civil engineering. In all these …
Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection–diffusion by stochastic Navier–Stokes
J Bedrossian, A Blumenthal… - Probability Theory and …, 2021 - Springer
We study the mixing and dissipation properties of the advection–diffusion equation with
diffusivity 0< κ ≪ 1 0< κ≪ 1 and advection by a class of random velocity fields on T^ d T d …
diffusivity 0< κ ≪ 1 0< κ≪ 1 and advection by a class of random velocity fields on T^ d T d …
[图书][B] Chemical and biological processes in fluid flows: a dynamical systems approach
Z n Neufeld - 2010 - books.google.com
Many chemical and biological processes take place in fluid environments in constant
motion? chemical reactions in the atmosphere, biological population dynamics in the ocean …
motion? chemical reactions in the atmosphere, biological population dynamics in the ocean …
What controls the decay of passive scalars in smooth flows?
PH Haynes, J Vanneste - Physics of Fluids, 2005 - pubs.aip.org
The exponential decay of the variance of a passive scalar released in a homogeneous
random two-dimensional flow is examined. Two classes of flows are considered: short …
random two-dimensional flow is examined. Two classes of flows are considered: short …
Low Reynolds number scalar transport enhancement in viscous and non-Newtonian fluids
Enhancement of heat and/or mass transfer via turbulence is often not feasible for highly
viscous, non-Newtonian or shear sensitive fluids. One alternative to improve transport within …
viscous, non-Newtonian or shear sensitive fluids. One alternative to improve transport within …
Scalar decay in chaotic mixing
JL Thiffeault - Transport and Mixing in Geophysical Flows: Creators of …, 2008 - Springer
I review the local theory of mixing, which focuses on infinitesimal blobs of scalar being
advected and stretched by a random velocity field. An advantage of this theory is that it …
advected and stretched by a random velocity field. An advantage of this theory is that it …
Stirring up trouble: multi-scale mixing measures for steady scalar sources
The mixing efficiency of a flow advecting a passive scalar sustained by steady sources and
sinks is naturally defined in terms of the suppression of bulk scalar variance in the presence …
sinks is naturally defined in terms of the suppression of bulk scalar variance in the presence …
Dispersion in the large-deviation regime. Part 1: shear flows and periodic flows
PH Haynes, J Vanneste - Journal of fluid mechanics, 2014 - cambridge.org
The dispersion of a passive scalar in a fluid through the combined action of advection and
molecular diffusion is often described as a diffusive process, with an effective diffusivity that …
molecular diffusion is often described as a diffusive process, with an effective diffusivity that …
A Stokesian viscoelastic flow: transition to oscillations and mixing
To understand observations of low Reynolds number mixing and flow transitions in
viscoelastic fluids, we study numerically the dynamics of the Oldroyd-B viscoelastic fluid …
viscoelastic fluids, we study numerically the dynamics of the Oldroyd-B viscoelastic fluid …
Estimating generalized Lyapunov exponents for products of random matrices
J Vanneste - Physical Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
We discuss several techniques for the evaluation of the generalized Lyapunov exponents
which characterize the growth of products of random matrices in the large-deviation regime …
which characterize the growth of products of random matrices in the large-deviation regime …