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We propose a multi-scale lung model to investigate spatio-temporal distributions of ventilation variables. Lung envelope and large airway geometries are derived from CT scans; smaller airways are generated using a physiologically consistent…

Tissues and Organs · Quantitative Biology 2026-03-31 Jonathan Stéphano , Michaël Brunengo , Riccardo Di Dio , Thomas Laporte , Benjamin Mauroy

The air flows in the proximal and distal portions of the human lungs are interconnected: the lower Reynolds number in the deeper generations causes a progressive flow regularization, while mass conservation requires flow rate oscillations…

Fluid Dynamics · Physics 2025-06-18 Marco Atzori , Emanuele Gallorini , Ciro Cottini , Andrea Benassi , Maurizio Quadrio

Most of the studies on optimal transport are done for steady state regime conditions. Yet, there exists numerous examples in living systems where supply tree networks have to deliver products in a limited time due to the pulsatile character…

Statistical Mechanics · Physics 2015-05-18 Magali Florens , Bernard Sapoval , Marcel Filoche

Fluid transport networks are important in many natural settings and engineering applications, from animal cardiovascular and respiratory systems to plant vasculature to plumbing networks and chemical plants. Understanding how network…

Fluid Dynamics · Physics 2021-04-02 Quynh M Nguyen

The flow past a fixed finite-length circular cylinder, the axis of which makes a nonzero angle with the incoming stream, is studied through fully-resolved simulations, from creeping-flow conditions to strongly inertial regimes. The…

Fluid Dynamics · Physics 2021-04-28 Mohammed Kharrouba , Jean-Lou Pierson , Jacques Magnaudet

A surprising similarity is found between the distribution of hydrodynamic stress on the wall of an irregular channel and the distribution of flux from a purely Laplacian field on the same geometry. This finding is a direct outcome from…

Disordered Systems and Neural Networks · Physics 2009-11-11 J. S. Andrade , A. D. Araújo , M. Filoche , B. Sapoval

In this paper, we study the role of boundary conditions on the optimal shape of a dyadic tree in which flows a Newtonian fluid. Our optimization problem consists in finding the shape of the tree that minimizes the viscous energy dissipated…

Analysis of PDEs · Mathematics 2010-12-13 Xavier Dubois De La Sablonière , Benjamin Mauroy , Yannick Privat

Accurate simulations of the flow in the human airway are essential for advancing diagnostic methods. Many existing computational studies rely on simplified geometries or turbulence models, limiting their simulation's ability to resolve flow…

We develop a one-dimensional network model to predict the steady-state distribution of yield-stress fluids in branched pipe manifolds under wall-slip conditions. The model accounts for major friction losses between junctions and…

Fluid Dynamics · Physics 2025-11-18 Elliott Sutton , Waldo Rosales Trujillo , Adam Kowalski , Cláudio P. Fonte , Anne Juel

We study inertial-range statistics in the direct enstrophy cascade of two-dimensional turbulence via a numerical simulation of the forced Navier-Stokes equation. In particular, we obtain the distribution of the enstrophy flux and of the…

Chaotic Dynamics · Physics 2007-05-23 Xin Wang , Shiyi Chen , Robert E. Ecke , Gregory L. Eyink

A canonical problem of axially strained flow in a duct of circular-sector cross-section, with fluid injection through the circular arc, is examined for a range of Reynolds numbers and sector angles. At small Reynolds numbers, the flow…

Fluid Dynamics · Physics 2025-08-19 Prabakaran Rajamanickam

This paper concerns spectral instability of shear flows in the incompressible Navier-Stokes equations with sufficiently large Reynolds number: $R\to \infty$. It is well-documented in the physical literature, going back to Heisenberg, C.C.…

Analysis of PDEs · Mathematics 2014-02-07 Emmanuel Grenier , Yan Guo , Toan Nguyen

In order to conduct a statistical analysis on a given set of phylogenetic gene trees, we often use a distance measure between two trees. In a statistical distance-based method to analyze discordance between gene trees, it is a key to decide…

Populations and Evolution · Quantitative Biology 2016-02-05 Jing Xi , Jin Xie , Ruriko Yoshida

Understanding the flow of yield stress fluids in porous media is a major challenge. In particular, experiments and extensive numerical simulations report a non-linear Darcy law as a function of the pressure gradient. In this letter, we…

The airflow in the bronchi applies a shear stress on the bronchial mucus, which can move the mucus. The air--mucus interaction plays an important role in cough and in chest physiotherapy (CP). The conditions under which it induces a…

Biological Physics · Physics 2021-10-18 Jonathan Stéphano , Benjamin Mauroy

We report on an investigation of the vertical transport of tracer particles released within a shallow, continuously-forced flow by means of numerical simulations. The investigation is motivated by the shallow flows encountered in many…

Topological structure of bronchial trees affects transport of gases and aerosols in the respiratory system. We start by providing a quantitative assessment of the ability of the alternative tree representations to predict observable…

Medical Physics · Physics 2021-11-16 Ali Saab , Leila Issa , Salah Zeineddine , Daniel M. Tartakovsky , Issam Lakkis

The results studying various laminar flow regimes in diverging and converging plain channels (diffuser and confusor) with a small opening angle of channels (diverging and converging angles) are presented. The results are obtained for a…

Fluid Dynamics · Physics 2022-03-10 Alexey I. Fedyushkin , Artur A. Puntus , Evgeny V. Volkov

Natural ventilation can play an important role towards preventing the spread of airborne diseases in indoor environments. However, quantifying natural ventilation flow rates is a challenging task due to significant variability in the…

Fluid Dynamics · Physics 2023-04-04 Yunjae Hwang , Catherine Gorlé

Turbulent flow separation induced by a protuberance on one of the walls of an otherwise planar channel is investigated using Direct Numerical Simulations. Different bulge geometries and Reynolds numbers - with the highest friction Reynolds…

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