Fluid-dynamic optimality in the generation-averaged length-to-diameter ratio of the human bronchial tree
| Autor: | Min Y. Kang, Hoe J. Yang, Jin W. Lee, Eugene Lee |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Pressure drop
Models Anatomic Mathematical optimization Flow (psychology) Biomedical Engineering Laminar flow Bronchi Mechanics Division (mathematics) Branching (polymer chemistry) Computer Science Applications Pressure Humans Tube (fluid conveyance) Total pressure Constant (mathematics) Rheology Mathematics |
| Zdroj: | Medicalbiological engineeringcomputing. 45(11) |
| ISSN: | 0140-0118 |
| Popis: | It is shown in this paper that the nearly constant length-to-diameter ratio observed with conducting airways of human bronchial tree can be explained based on the fluid dynamic optimality principle. In any branched tube there are two pressure loss mechanisms, one for wall friction in the tube section and the other for flow division in the branching section, and there exists an optimal length-to-diameter ratio which minimizes the total pressure loss for a branched tube in laminar flow condition. The optimal length-to-diameter ratio predicted by the pressure loss minimization shows an excellent agreement with the length-to-diameter ratios found in the human conducting airways. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink