Imperial College London
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ProfessorDarrenCrowdy

Faculty of Natural Sciences, Department of Mathematics

Professor in Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8587d.crowdy Website

 
 
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Location

 

735Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{MIYOSHI:2022:10.1007/s10665-022-10240-9,
author = {MIYOSHI, H and Rodriguez-Broadbent, H and Curran, A and Crowdy, D},
doi = {10.1007/s10665-022-10240-9},
journal = {Journal of Engineering Mathematics},
title = {Longitudinal flow in superhydrophobic channels with partially invaded grooves},
url = {http://dx.doi.org/10.1007/s10665-022-10240-9},
volume = {137},
year = {2022}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Analytical expressions are derived for the longitudinal flow in a super-hydrophobic microchannel where flat menisci in the Cassie state havepartially invaded the grooves between no-slip blades. Using these solu-tions, the effective slip lengths are computed and compared with recentanalytical results for unbounded shear flow over the same class ofsurfaces. Expressions for the first-order corrections to these effectiveslip lengths when the menisci are weakly curved are also derived.A mathematical connection to superhydrophobic channel flows wherethe flat menisci are still pinned to the tops of the pillars is alsomade, resulting in novel analytical expressions for those solutions too.
AU  - MIYOSHI,H
AU  - Rodriguez-Broadbent,H
AU  - Curran,A
AU  - Crowdy,D
DO  - 10.1007/s10665-022-10240-9
PY  - 2022///
SN  - 0022-0833
TI  - Longitudinal flow in superhydrophobic channels with partially invaded grooves
T2  - Journal of Engineering Mathematics
UR  - http://dx.doi.org/10.1007/s10665-022-10240-9
UR  - http://hdl.handle.net/10044/1/100219
VL  - 137
ER  -
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