System disruptions
There are recurring service disruptions on some of the search portals due to high traffic. We are working to resolve the issue, you may temporarily encounter an error message.
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Beyond Murray’s Law: Resistance Matching Principle for Optimal Fluid Transport in Hierarchical Nanomaterials
State Key Laboratory of Materials-Oriented and Chemical Engineering, Nanjing Tech University, Nanjing 211816, China; Suzhou laboratory, Suzhou 215125, China.ORCID iD: 0009-0004-4128-0376
State Key Laboratory of Materials-Oriented and Chemical Engineering, Nanjing Tech University, Nanjing 211816, China; Suzhou laboratory, Suzhou 215125, China.
State Key Laboratory of Materials-Oriented and Chemical Engineering, Nanjing Tech University, Nanjing 211816, China; Suzhou laboratory, Suzhou 215125, China.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Energy Science. State Key Laboratory of Materials-Oriented and Chemical Engineering, Nanjing Tech University, Nanjing 211816, China; Department of Chemistry, Arrhenius Laboratory, Stockholm University, Stockholm 10691, Sweden; Center of Advanced Research in Bionanoconjugates and Biopolymers, Petru Poni Institute of Macromolecular Chemistry, Iasi 700469, Romania.ORCID iD: 0000-0001-9783-4535
Show others and affiliations
2026 (English)In: ACS Nano, ISSN 1936-0851, E-ISSN 1936-086X, Vol. 20, no 2, p. 2073-2081Article in journal (Refereed) Published
Abstract [en]

The century-old Murray’s law, originally formulated to describe optimal transport in biological vascular systems, continues to inspire the design of hierarchical nanomaterials. However, at the nanoscale, its fundamental assumptions of fluid homogeneity and negligible interfacial slip no longer hold, limiting its validity. In this work, Murray’s law is extended to incorporate nanoscale effects, including slip boundary conditions and confinement-induced variations in fluid density and viscosity. Quantitative calculations reveal a transition from traditional viscous flow dominance at larger scales to interfacial slip-driven transport in microporous channels, leading to significant deviations from the original predictions of Murray’s law. Furthermore, the physical foundation of the nanoscale-adapted Murray’s law, namely minimum energy dissipation in nonequilibrium thermodynamics, is restated as a generalized resistance matching principle, offering a practical framework for designing hierarchical structures. This principle is experimentally validated in two structurally diverse nanosystems─biological-skeleton carbon and zeolite molecular sieves─demonstrating its broad applicability. The work provides a generalizable theoretical foundation and a practical benchmark for the rational engineering of advanced hierarchical nanomaterials. By bridging a century-old biological principle with modern nanofluidics, the proposed resistance-matching principle is expected to influence fields such as heterogeneous catalysis, membrane technology, and energy storage.

Place, publisher, year, edition, pages
American Chemical Society (ACS), 2026. Vol. 20, no 2, p. 2073-2081
Keywords [en]
Optimal transport theory, Hierarchical nanomaterial, Confinement effect, Interfacial slip, Nonequilibrium thermodynamics, Resistance matching principle, Nanofluidics
National Category
Fluid Mechanics Theoretical Chemistry
Research subject
Energy Engineering
Identifiers
URN: urn:nbn:se:ltu:diva-116063DOI: 10.1021/acsnano.5c14732ISI: 001657080800001PubMedID: 41500237Scopus ID: 2-s2.0-105027733122OAI: oai:DiVA.org:ltu-116063DiVA, id: diva2:2030104
Note

For funding information, see: https://doi.org/10.1021/acsnano.5c14732

Available from: 2026-01-20 Created: 2026-01-20 Last updated: 2026-06-30Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full textPubMedScopus

Authority records

Laaksonen, AattoJi, Xiaoyan

Search in DiVA

By author/editor
Cao, JianLaaksonen, AattoJi, XiaoyanMocci, FrancescaZhu, YudanLu, Xiaohua
By organisation
Energy Science
In the same journal
ACS Nano
Fluid MechanicsTheoretical Chemistry

Search outside of DiVA

GoogleGoogle Scholar

doi
pubmed
urn-nbn

Altmetric score

doi
pubmed
urn-nbn
Total: 147 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf