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Updated: Apr 5, 2026

Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow
Published on: February 27, 2016
Intermittent Lagrangian velocities and accelerations in three-dimensional porous medium flow
M Holzner1, V L Morales2, M Willmann3
1Institute of Environmental Engineering, ETH Zurich, Wolfgang-Pauli-Strasse 15, 8093 Zürich, Switzerland.
Particle movement in porous media shows intermittent Lagrangian velocity and acceleration. This intermittency, driven by pore structure, influences transport and can be modeled using continuous-time random-walks.
Area of Science:
- Fluid dynamics
- Porous media physics
- Complex systems analysis
Background:
- Lagrangian velocity and acceleration intermittency are crucial for understanding transport in diverse complex systems.
- Porous media flow exhibits unique transport characteristics influenced by pore-scale geometry.
Purpose of the Study:
- To investigate Lagrangian velocity and acceleration intermittency in a 3D porous medium.
- To link observed flow behaviors to pore geometry and connectivity.
- To develop a predictive model for particle transport.
Main Methods:
- High-resolution optical particle tracking was employed to capture detailed 3D Lagrangian velocities and accelerations.
- Analysis focused on transitions near pore throats and flow variability within pore bodies.
- Particle dispersion and propagator behavior were examined.
Main Results:
- Sharp transitions in flow dynamics were observed near pore throats.
- Low flow variability was noted within pore bodies.
- Stretched exponential distributions characterized Lagrangian velocity and acceleration, featuring a low-velocity peak.
- Superlinear particle dispersion and double-peak propagators were identified.
Conclusions:
- Pore geometry and connectivity dictate Lagrangian velocity distributions.
- A continuous-time random-walk model effectively explains the observed Lagrangian flow and transport behaviors.
- The study provides a framework for understanding transport in complex porous media.
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