Imperial College London
Alternate

ProfessorDemetriosPapageorgiou

Faculty of Natural Sciences, Department of Mathematics

Chair in Applied Maths and Mathematical Physics
 
 
 
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Contact

 

+44 (0)20 7594 8369d.papageorgiou Website

 
 
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Location

 

750Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Kirk:2016:10.1017/jfm.2016.760,
author = {Kirk, TL and Hodes, M and Papageorgiou, DT},
doi = {10.1017/jfm.2016.760},
journal = {Journal of Fluid Mechanics},
pages = {315--349},
title = {Nusselt numbers for Poiseuille flow over isoflux parallel ridges accounting for meniscus curvature},
url = {http://dx.doi.org/10.1017/jfm.2016.760},
volume = {811},
year = {2016}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We investigate forced convection in a parallel-plate-geometry microchannel with superhydrophobic walls consisting of a periodic array of ridges aligned parallel to the direction of a Poiseuille flow. In the dewetted (Cassie) state, the liquid contacts the channel walls only at the tips of the ridges, where we apply a constant-heat-flux boundary condition. The subsequent hydrodynamic and thermal problems within the liquid are then analysed accounting for curvature of the liquid–gas interface (meniscus) using boundary perturbation, assuming a small deflection from flat. The effects of this surface deformation on both the effective hydrodynamic slip length and the Nusselt number are computed analytically in the form of eigenfunction expansions, reducing the problem to a set of dual series equations for the expansion coefficients which must, in general, be solved numerically. The Nusselt number quantifies the convective heat transfer, the results for which are completely captured in a single figure, presented as a function of channel geometry at each order in the perturbation. Asymptotic solutions for channel heights large compared with the ridge period are compared with numerical solutions of the dual series equations. The asymptotic slip length expressions are shown to consist of only two terms, with all other terms exponentially small. As a result, these expressions are accurate even for heights as low as half the ridge period, and hence are useful for engineering applications.
AU  - Kirk,TL
AU  - Hodes,M
AU  - Papageorgiou,DT
DO  - 10.1017/jfm.2016.760
EP  - 349
PY  - 2016///
SN  - 1469-7645
SP  - 315
TI  - Nusselt numbers for Poiseuille flow over isoflux parallel ridges accounting for meniscus curvature
T2  - Journal of Fluid Mechanics
UR  - http://dx.doi.org/10.1017/jfm.2016.760
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000390352200017&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/44065
VL  - 811
ER  -
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