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This work analyses the role of small but finite particle inertia on the microstructure of suspensions of heavy particles subjected to an external flow. The magnitude of particle inertia is characterized by the Stokes number, St, defined as the ratio of the inertial relaxation time of a particle to the flow time scale. Fluid inertia is neglected so that the fluid motion satisfies the quasi-steady Stokes equations. The statistics of the particles is governed by a Fokker-Planck equation in position and velocity space. For small St, a multiple scales formalism is developed to solve for the phase-space probability density of a single spherical Brownian particle in a linear flow. Though valid for an arbitrary flow field, the method fails for a spatially varying mass and drag coefficient. In all cases, however, a Chapman-Enskog-like formulation provides a valid multi-scale description of the dynamics both for a single Brownian particle and a suspension of interacting particles. For long times, the leading order solution simplifies to the product of a local Maxwellian in velocity space and a spatial density satisfying the Smoluchowski equation. The higher order corrections capture both short-time momentum relaxations and long-time deviations from the Maxwellian. The inertially corrected Smoluchowski equation includes a non-Fickian term at O(St).

This work analyses the role of small but finite particle inertia on the microstructure of suspensions of heavy particles subjected to an external flow. The magnitude of particle inertia is characterized by the Stokes number, St, defined as the ratio of the inertial relaxation time of a particle to the flow time scale. Fluid inertia is neglected so that the fluid motion satisfies the quasi-steady Stokes equations. The statistics of the particles is governed by a Fokker-Planck equation in position and velocity space. For small St, a multiple scales formalism is developed to solve for the phase-space probability density of a single spherical Brownian particle in a linear flow. Though valid for an arbitrary flow field, the method fails for a spatially varying mass and drag coefficient. In all cases, however, a Chapman-Enskog-like formulation provides a valid multi-scale description of the dynamics both for a single Brownian particle and a suspension of interacting particles. For long times, the leading order solution simplifies to the product of a local Maxwellian in velocity space and a spatial density satisfying the Smoluchowski equation. The higher order corrections capture both short-time momentum relaxations and long-time deviations from the Maxwellian. The inertially corrected Smoluchowski equation includes a non-Fickian term at O(St).

EMSO is the acronym for Environment for Modeling, Simulation, and Optimization.
EMSO is a graphical environment where the user can model complex processes simply selecting and connecting the equipment models.

EMSO is the acronym for Environment for Modeling, Simulation, and Optimization.
EMSO is a graphical environment where the user can model complex processes simply selecting and connecting the equipment models.

A team from the Consejo Superior de Investigaciones Científicas (CSIC) has identified a new mechanism to protect the liver from acute liver damage characteristic of the different types of hepatitis and poisoning by normal consumption of drugs or medicines. The investigation, which is published in Hepatology, focuses on protein S6 kinase 1. According to the authors, its inhibition could represent a potential therapeutic target against these symptoms.

CSIC researcher Angela Martinez Valverde, Instituto de Investigaciones Biomédicas Alberto Sols (CSIC) in Madrid, directed this research with the collaboration of researchers from the University of Cincinnati, USA.

A team from the Consejo Superior de Investigaciones Científicas (CSIC) has identified a new mechanism to protect the liver from acute liver damage characteristic of the different types of hepatitis and poisoning by normal consumption of drugs or medicines. The investigation, which is published in Hepatology, focuses on protein S6 kinase 1. According to the authors, its inhibition could represent a potential therapeutic target against these symptoms.

CSIC researcher Angela Martinez Valverde, Instituto de Investigaciones Biomédicas Alberto Sols (CSIC) in Madrid, directed this research with the collaboration of researchers from the University of Cincinnati, USA.