1. RRI Digital Repository
  2. 06. Soft Condensed Matter
  3. Research Papers (SCM)
Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/8526
Full metadata record
DC FieldValueLanguage
dc.contributor.authorGarg, Ashish-
dc.date.accessioned2025-09-16T06:41:17Z-
dc.date.available2025-09-16T06:41:17Z-
dc.date.issued2025-09-10-
dc.identifier.citationPhysica Scripta, 2025, Vol. 100, p095215en_US
dc.identifier.issn1402-4896 (Online)-
dc.identifier.issn0031-8949 (Print)-
dc.identifier.urihttp://hdl.handle.net/2289/8526-
dc.descriptionRestricted Access.en_US
dc.description.abstractThis study presents an analytical framework for modeling Newtonian fluid flow in an equilateral triangular channel network with a self-similar tree-like structure. The network is characterized by varying bifurcation levels N and generation stages m, with optimization based on two primary constraints: volume and surface area limitation. The study assumes fully developed laminar flow, neglecting secondary flow effects and junction losses. The analysis evaluates non-dimensional flow resistance and conductance E, considering their dependence on the channel side ratio β, length ratio γ, bifurcation number N, and branching levels m. The results indicate that flow conductance decreases with increasing generation levels, with different scaling laws under volume and surface-area constraints. For volume constraints, the optimal width ratio follows β* = N−1/3, leading to , whereas for surface-area constraints, the scaling follows β* = N−2/5, yielding , where a is the length of the side of triangular channel. Optimal scaling laws and stress fields are presented across branching generations, showing how triangular geometries affect transport efficiency and wall stress localization. Shear stress variation in triangular channel networks is governed solely by geometry and pressure gradient. Under a volume constraint, stress distributions remain self-similar across generations, while under a surface area constraint, stress magnitudes increase proportionally to N1/5. This work provides the first comprehensive analysis of optimal flow in such geometries, extending the well-known Murray’s Law to triangular conduits. These results inform the design of energy-efficient fluid networks in compact and fabrication-constrained domains such as lab-on-chip devices, cooling channels, and porous scaffolds.en_US
dc.language.isoenen_US
dc.publisherIOP Publishingen_US
dc.relation.urihttps://chemrxiv.org/engage/chemrxiv/article-details/67dd556981d2151a02501490en_US
dc.relation.urihttps://doi.org/10.1088/1402-4896/ae00a2en_US
dc.rights2025 IOP Publishing Ltden_US
dc.subjecttriangular channel networken_US
dc.subjectself-similar branchingen_US
dc.subjectvolume and surface area constraintsen_US
dc.subjectstress distributionen_US
dc.subjectMurray’s Law extensionen_US
dc.titleStress distribution and scaling laws for optimized fluid flow in tree-like networks with triangular cross-sectionsen_US
dc.typeArticleen_US
Appears in Collections:Research Papers (SCM)

Files in This Item:
File Description SizeFormat 
2025_Phys._Scr._100_095215.pdf
  Restricted Access		Restricted Access2.41 MBAdobe PDFView/Open Request a copy
Show simple item record


Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.