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Combined Size and Density Fractionation of Soils for Investigations of Organo-Mineral Interactions

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Published on: February 15, 2019

Phoresis in fluids.

Howard Brenner¹

¹Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139-4307, USA. hbrenner@mit.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|February 7, 2012

Summary

This summary is machine-generated.

This study unifies phoretic phenomena, offering simple formulas for particle migration in fluids driven by temperature, pressure, or density gradients. The theory addresses non-classical fluid behavior at surfaces.

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Area of Science:

Physics
Fluid Mechanics
Physical Chemistry

Background:

Phoretic phenomena describe particle migration in fluids due to gradients.
Classical fluid dynamics often assumes no-slip boundary conditions at surfaces.
Previous work explored fluid slip at solid surfaces, a departure from classical assumptions.

Purpose of the Study:

To develop a unified theoretical framework for phoretic phenomena in single-component fluids.
To provide simple formulas for calculating phoretic velocities under various driving gradients.
To extend understanding of particle migration beyond classical fluid mechanics.

Main Methods:

Development of a theoretical model based on fluid slip at surfaces.
Derivation of analytical formulas for phoretic velocities.
Integration of thermophoresis, barophoresis, and pycnophoresis into a single theory.

Main Results:

A unified theory for phoretic migration of inert particles in single-component fluids.
Formulas applicable to migration driven by temperature, pressure, density gradients, or combinations.
The theory accounts for non-classical fluid behavior, specifically fluid slip.

Conclusions:

The proposed theory provides a comprehensive explanation for various phoretic phenomena.
The derived formulas offer a simplified approach to predicting particle migration.
The model is supported by experimental and existing data, validating its applicability.