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Updated: Jun 4, 2025

Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes
Published on: January 6, 2023
A novel tube law analysis under anisotropic external load
Lorenzo Lotti1, Costanza Carbonari2, Giulio Calvani3
1Department of Civil and Environmental Engineering, University of Florence, Via di S. Marta, 3, Florence, 50139, Italy.
This study introduces a new tube law for modeling fluid flow in collapsible vessels, accounting for complex external pressures. The model accurately reflects physiological conditions, improving upon existing methods for biological fluid transport.
Area of Science:
- Fluid dynamics
- Biomechanical engineering
- Physiology
Background:
- Collapsible pipe flow modeling typically uses tube laws based on isotropic transmural pressure.
- Existing models do not fully capture the anisotropic external loads present in physiological conditions.
Purpose of the Study:
- To develop and validate a novel empirical tube law that incorporates anisotropic external pressure conditions.
- To improve the mathematical modeling of fluid transport in collapsible biological vessels.
Main Methods:
- Formulated a new empirical tube law considering anisotropic external loads.
- Validated the model using laboratory experiments simulating flow in a collapsible tube representing the male urethra during micturition.
Main Results:
- The proposed tube law demonstrated better agreement with experimental observations compared to classic formulations.
- The model effectively describes physiological flow conditions in collapsible tubes under anisotropic external loads.
Conclusions:
- The new tube law provides a more accurate representation of fluid flow in collapsible vessels subjected to anisotropic external pressure.
- This model has potential applications in understanding and modeling various biological fluid transport systems.
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