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Buckling critical pressures in collapsible tubes relevant for biomedical flows
Marco Laudato1, Roberto Mosca2, Mihai Mihaescu2
1Department of Engineering Mechanics, FLOW Research Center, KTH Royal Institute of Technology, 10044, Stockholm, Sweden. laudato@kth.se.
Scientific Reports
|June 8, 2023
Summary
This study uses phase transition theory to model collapsible tubes, revealing how geometric factors influence buckling critical pressure. This offers a new method for analyzing vessel behavior in biomedical applications like asthma.
Area of Science:
- Fluid dynamics
- Biophysics
- Phase transitions
Background:
- Collapsible tubes serve as simplified models for stenotic human vessels.
- Understanding vessel collapse is crucial for studying conditions like asthma.
Purpose of the Study:
- To determine the buckling critical pressure of a collapsible tube using Landau's phase transition theory.
- To establish non-dimensional equations for buckling critical pressure based on geometric parameters.
Main Methods:
- Implementation of an experimentally validated 3D numerical model of a collapsible tube.
- Treating the relationship between intramural pressure and cross-sectional area as an order parameter.
- Applying Landau's theory of second-order phase transitions.
Main Results:
- Buckling critical pressure is dependent on the geometric parameters of the collapsible tube.
- General non-dimensional equations for buckling critical pressure were derived.
- The method avoids geometric assumptions, relying on phase transition principles.
Conclusions:
- The buckling of collapsible tubes can be effectively modeled as a second-order phase transition.
- This approach provides a novel, assumption-free method for analyzing vessel mechanics.
- Findings are relevant for biomedical applications, particularly in studying the bronchial tree in conditions like asthma.
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