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2017 ; 12
(6
): e0178599
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Experimental and theoretical study of magnetohydrodynamic ship models
#MMPMID28665941
Cébron D
; Viroulet S
; Vidal J
; Masson JP
; Viroulet P
PLoS One
2017[]; 12
(6
): e0178599
PMID28665941
show ga
Magnetohydrodynamic (MHD) ships represent a clear demonstration of the Lorentz
force in fluids, which explains the number of students practicals or exercises
described on the web. However, the related literature is rather specific and no
complete comparison between theory and typical small scale experiments is
currently available. This work provides, in a self-consistent framework, a
detailed presentation of the relevant theoretical equations for small MHD ships
and experimental measurements for future benchmarks. Theoretical results of the
literature are adapted to these simple battery/magnets powered ships moving on
salt water. Comparison between theory and experiments are performed to validate
each theoretical step such as the Tafel and the Kohlrausch laws, or the predicted
ship speed. A successful agreement is obtained without any adjustable parameter.
Finally, based on these results, an optimal design is then deduced from the
theory. Therefore this work provides a solid theoretical and experimental ground
for small scale MHD ships, by presenting in detail several approximations and how
they affect the boat efficiency. Moreover, the theory is general enough to be
adapted to other contexts, such as large scale ships or industrial flow
measurement techniques.