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Updated: May 11, 2026
09:39
Spatial Temporal Analysis of Fieldwise Flow in Microvasculature
Published on: November 18, 2019
Non-markovian models of blocking in concurrent and countercurrent flows
A Gabrielli1, J Talbot, P Viot
1Istituto dei Sistemi Complessi (ISC)-CNR, UOS ‘‘Sapienza’’, Dipartimento di Fisica, University ‘‘Sapienza’’ di Roma,Piazzale Aldo Moro 5, 00185 Rome, Italy.
Physical Review Letters
|May 18, 2013
Summary
Blocking can halt particulate flow processes like filtration or traffic. This study analyzes concurrent and counterflow models to predict failure probability and particle throughput before blockage occurs.
Area of Science:
- Physics
- Engineering
- Applied Mathematics
Background:
- Particulate flow processes are susceptible to interruptions.
- Understanding blockage mechanisms is crucial for process optimization.
Purpose of the Study:
- To investigate models of processes where blocking can occur at any time.
- To analyze survival probability and particle throughput before failure.
Main Methods:
- Concurrent flow model: Random particle entry, failure upon simultaneous presence.
- Counterflow model: Two opposing Poisson streams, failure upon simultaneous opposing particles.
Main Results:
- Derived key quantities: survival probability and distribution of particles before failure.
- Quantified blockage conditions for both concurrent and counterflow scenarios.
Conclusions:
- Developed models to predict and understand blockage in particulate flow systems.
- Results are applicable to filtration, micro/nanochannel flow, and traffic dynamics.
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