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Updated: Aug 27, 2025

The Diffusion of Passive Tracers in Laminar Shear Flow

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

Diffusion-Slip Boundary Conditions for Isothermal Flows in Micro- and Nano-Channels.

Alwin Michael Tomy¹, S Kokou Dadzie¹

¹School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh EH11 4AS, UK.

|September 23, 2022

Summary

This summary is machine-generated.

This study introduces new boundary conditions for modeling micro- and nano-scale flows, unifying various diffusion effects. These conditions improve simulations of gas and liquid flows in confined systems.

Keywords:

diffusion slip micro- and nano-channels volume diffusion

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Last Updated: Aug 27, 2025

The Diffusion of Passive Tracers in Laminar Shear Flow

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Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics

Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics

Published on: August 27, 2013

Area of Science:

Fluid dynamics
Multiphysics simulations
Surface science

Background:

Classical continuum models struggle with micro- and nano-scale flows, requiring ad hoc additions for effects like wall slip and Knudsen diffusion.
A unified theoretical framework for these phenomena in microfluidics and nanofluidics is currently lacking.
Existing models often lack a sound theoretical basis for unifying diverse diffusion processes.

Purpose of the Study:

To derive model boundary conditions that systematically justify diffusion processes in micro- and nano-flows.
To provide a unified theoretical ground for phenomena where classical continuum models break down.
To offer a new approach for simulating interfacial flows.

Main Methods:

Defining and utilizing flow velocities beyond standard mass velocity.
Deriving novel model boundary conditions based on these velocities.
Applying these boundary conditions to classical continuum flow equations (e.g., Navier-Stokes).

Main Results:

A unified derivation of mass flow rates and flow profiles in micro- and nano-channels.
Model boundary conditions that systematically explain various diffusion processes.
Methodology validated for both gas and liquid flows, fitting experimental data.

Conclusions:

The proposed diffusion-type boundary conditions offer a more appropriate approach for simulating micro- and nano-system flows.
This methodology provides new insights into flow profiles within confined geometries.
The derived boundary conditions can be adapted for other interfacial flow modeling applications.