Optimal Branching Structure of Fluidic Networks with Permeable Walls
Joint Authors
Pepe, Vinicius R.
Rocha, Luiz A. O.
Miguel, Antonio F.
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-05-21
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Biological and engineering studies of Hess-Murray’s law are focused on assemblies of tubes with impermeable walls.
Blood vessels and airways have permeable walls to allow the exchange of fluid and other dissolved substances with tissues.
Should Hess-Murray’s law hold for bifurcating systems in which the walls of the vessels are permeable to fluid? This paper investigates the fluid flow in a porous-walled T-shaped assembly of vessels.
Fluid flow in this branching flow structure is studied numerically to predict the configuration that provides greater access to the flow.
Our findings indicate, among other results, that an asymmetric flow (i.e., breaking the symmetry of the flow distribution) may occur in this symmetrical dichotomous system.
To derive expressions for the optimum branching sizes, the hydraulic resistance of the branched system is computed.
Here we show the T-shaped assembly of vessels is only conforming to Hess-Murray’s law optimum as long as they have impervious walls.
Findings also indicate that the optimum relationship between the sizes of parent and daughter tubes depends on the wall permeability of the assembled tubes.
Our results agree with analytical results obtained from a variety of sources and provide new insights into the dynamics within the assembly of vessels.
American Psychological Association (APA)
Pepe, Vinicius R.& Rocha, Luiz A. O.& Miguel, Antonio F.. 2017. Optimal Branching Structure of Fluidic Networks with Permeable Walls. BioMed Research International،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1137534
Modern Language Association (MLA)
Pepe, Vinicius R.…[et al.]. Optimal Branching Structure of Fluidic Networks with Permeable Walls. BioMed Research International No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1137534
American Medical Association (AMA)
Pepe, Vinicius R.& Rocha, Luiz A. O.& Miguel, Antonio F.. Optimal Branching Structure of Fluidic Networks with Permeable Walls. BioMed Research International. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1137534
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1137534