Large-scale transport is investigated in terms of new explicit expressions for eddy diffusivities and effective advection obtained from asymptotic perturbative methods. The carrier flow is formed by a large-scale component plus a small-scale contribution mimicking a turbulent flow. The scalar dynamics is observed in its pre-asymptotic regimes...
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2016 (v1)PublicationUploaded on: April 14, 2023
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2014 (v1)Publication
No description
Uploaded on: April 14, 2023 -
2015 (v1)PublicationAnomalous diffusion of inertial particles in random parallel flows: Theory and numerics face to face
The large-scale transport of inertial particles is investigated by means of Lagrangian simulations. Our main focus is on the possible emergence of anomalous diffusion for the class of random parallel flows. For such flows, a perturbative prediction in the limit of small inertia has recently become available in the literature. Anomalous...
Uploaded on: April 14, 2023 -
2013 (v1)Publication
The emergence of fluid instabilities in the relevant limit of vanishing fluid inertia (i.e., arbitrarily close to zero Reynolds number) has been investigated for the well-known Kolmogorov flow. The finite-time shear-induced order-disorder transition of the non-Newtonian microstructure and the corresponding viscosity change from lower to...
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2017 (v1)Publication
We investigate the large-scale transport of inertial particles. We derive explicit analytic expressions for the eddy diffusivities for generic Stokes times. These latter expressions are exact for any shear flow while they correspond to the leading contribution either in the deviation from the shear flow geometry or in the P´eclet number of...
Uploaded on: April 14, 2023 -
2013 (v1)Publication
Mixing control in fluid environments having very low Reynolds numbers is a crucial need for many practical purposes ranging from biochemistry analysis in microfluidic devices, where mixing has to be rapid and efficient, to lab-on-a-chip applications, where mixing has to be reduced to avoid spurious effects as in microfluidic rheometer...
Uploaded on: April 14, 2023 -
2016 (v1)Publication
No description
Uploaded on: April 14, 2023