Imperial College London
Emeritus Professor Colin Atkinson

Emeritus ProfessorColinAtkinson

Faculty of Natural Sciences, Department of Mathematics

Emeritus Professor
 
 
 
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Contact

 

+44 (0)20 7594 8497c.atkinson

 
 
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Location

 

671Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Atkinson:2016:10.1017/S0956792516000486,
author = {Atkinson, C and Sherwood, JD},
doi = {10.1017/S0956792516000486},
journal = {European Journal of Applied Mathematics},
pages = {687--706},
title = {Added mass of a pair of discs at small separation},
url = {http://dx.doi.org/10.1017/S0956792516000486},
volume = {28},
year = {2016}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Inviscid irrotational flow around a pair of coaxial disks is considered in the limit in which thedistance2hbetween the disks is small compared to their radiusa. The disks have zero thickness andaccelerate away from one another along their common axis. The added massMof each acceleratingdisk is increased by the presence of the other disk. Analyticpredictions are obtained whenh/a1,withM∼πa/(8h)−ln(h/a)/2 + 0.77875 +· · ·. The termO(a/h)can be obtained by meansof an inviscid analysis of approximately unidirectional flow within the gap between the disks, butthe correction terms have not been reported previously. Theirrotational flow problem satisfies Neu-mann boundary conditions on the surface of the disks, but is otherwise analogous to the Dirichletproblem of the capacitance of a pair of charged disks, which has been the subject of much study andcontroversy.
AU  - Atkinson,C
AU  - Sherwood,JD
DO  - 10.1017/S0956792516000486
EP  - 706
PY  - 2016///
SN  - 1469-4425
SP  - 687
TI  - Added mass of a pair of discs at small separation
T2  - European Journal of Applied Mathematics
UR  - http://dx.doi.org/10.1017/S0956792516000486
UR  - http://hdl.handle.net/10044/1/43701
VL  - 28
ER  -
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