Imperial College London
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ProfessorSpencerSherwin

Faculty of Engineering, Department of Aeronautics

Head of the Department of Aeronautics
 
 
 
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Contact

 

+44 (0)20 7594 5052s.sherwin Website

 
 
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Location

 

318City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Cookson:2010:10.1016/j.cam.2009.08.065,
author = {Cookson, AN and Doorly, DJ and Sherwin, SJ},
doi = {10.1016/j.cam.2009.08.065},
journal = {Journal of Computational and Applied Mathematics},
pages = {2069--2079},
title = {Using coordinate transformation of Navier–Stokes equations to solve flow in multiple helical geometries},
url = {http://dx.doi.org/10.1016/j.cam.2009.08.065},
volume = {234},
year = {2010}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Recent research on small amplitude helical pipes for use as bypass grafts and arterio-venous shunts, suggests that mixing may help prevent occlusion by thrombosis. It is proposed here that joining together two helical geometries, of different helical radii, will enhance mixing, with only a small increase in pressure loss. To determine the velocity field, a coordinate transformation of the Navier–Stokes equations is used, which is then solved using a 2-D high-order mesh combined with a Fourier decomposition in the periodic direction. The results show that the velocity fields in each component geometry differ strongly from the corresponding solution for a single helical geometry. The results suggest that, although the mixing behaviour will be weaker than an idealised prediction indicates, it will be improved from that generated in a single helical geometry.
AU  - Cookson,AN
AU  - Doorly,DJ
AU  - Sherwin,SJ
DO  - 10.1016/j.cam.2009.08.065
EP  - 2079
PY  - 2010///
SP  - 2069
TI  - Using coordinate transformation of Navier–Stokes equations to solve flow in multiple helical geometries
T2  - Journal of Computational and Applied Mathematics
UR  - http://dx.doi.org/10.1016/j.cam.2009.08.065
UR  - http://hdl.handle.net/10044/1/5951
VL  - 234
ER  -
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