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Expanded scaling relations for locomotion in sloped or cohesive granular beds
Name
PhysRevFluids.5.114301.pdf
Description
Published version
Size
5.12 MB
Format
Adobe PDF
Checksum (MD5)
996befca8732404e599c4703ada56a39
Author(s)
Zhang, Qiong
Townsend, Stephen
Kamrin, Ken
Date Issued
2020
Journal
Physical Review Fluids
Publisher
American Physical Society (APS)
Citation
Zhang, Qiong, Townsend, Stephen and Kamrin, Ken. 2020. "Expanded scaling relations for locomotion in sloped or cohesive granular beds." Physical Review Fluids, 5 (11).
Version
Final published version
Abstract
© 2020 American Physical Society. Dynamic similarity, while commonly applied in fluid systems, has recently been extended to locomotion problems in granular media. The previous work was limited to locomotors in cohesionless, flat beds of grains under the assumption of a simple frictional fluid rheology. However, many natural circumstances involve beds that are sloped or composed of cohesive (e.g. damp or powdery) grains. Here we derive expanded scaling relations inclusive of these phenomena. To validate the proposed scalings, we perform discrete element method simulations with inclined beds and cohesive grains using rotating "wheels"of various shape families, sizes, and loading conditions in accord with the proposed scaling laws. The data show a good agreement between scaled tests, suggesting the usage of these scalings as a potential design tool for off-road vehicles and extraplanetary rovers and as an analysis tool for biolocomotion in soils.
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
10.1103/PHYSREVFLUIDS.5.114301
