Imperial College London

ProfessorDarrenCrowdy

Faculty of Natural SciencesDepartment 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{Crowdy:2022:qjmam/hbac016,
author = {Crowdy, D and Rodriguez-Broadbent, H},
doi = {qjmam/hbac016},
journal = {Quarterly Journal of Mechanics and Applied Mathematics},
pages = {315--346},
title = {Superhydrophobicity can enhance convective heat transfer in pressure-driven pipe flow},
url = {http://dx.doi.org/10.1093/qjmam/hbac016},
volume = {75},
year = {2022}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - Theoretical evidence is given that it is possible for superhydrophobicity to enhance steady laminar convective heat transfer in pressure-driven flow along a circular pipe or tube with constant heat flux. Superhydrophobicity here refers to the presence of adiabatic no-shear zones in an otherwise solid no-slip boundary. Adding such adiabatic no-shear zones reduces not only hydrodynamic friction, leading to greater fluid volume fluxes for a given pressure gradient, but also reduces the solid surface area through which heat enters the fluid. This leads to a delicate trade-off between competing mechanisms so that the net effect on convective heat transfer along the pipe, as typically measured by a Nusselt number, is not obvious. Existing evidence in the literature suggests that superhydrophobicity always decreases the Nusselt number, and therefore compromises the net heat transfer. In this theoretical study, we confirm this to be generally true but, significantly, we identify a situation where the opposite occurs and the Nusselt number increases thereby enhancing convective heat transfer along the pipe.
AU - Crowdy,D
AU - Rodriguez-Broadbent,H
DO - qjmam/hbac016
EP - 346
PY - 2022///
SN - 0033-5614
SP - 315
TI - Superhydrophobicity can enhance convective heat transfer in pressure-driven pipe flow
T2 - Quarterly Journal of Mechanics and Applied Mathematics
UR - http://dx.doi.org/10.1093/qjmam/hbac016
UR - https://academic.oup.com/qjmam/article/75/4/315/6831862
UR - http://hdl.handle.net/10044/1/101187
VL - 75
ER -