Journal of Engineering Mathematics

, Volume 81, Issue 1, pp 1–8 | Cite as

A note on waveless subcritical flow past a submerged semi-ellipse



The flow of water over a broad obstruction usually creates a downstream wave train. However, it has been shown that for some objects and discrete values of flow rate and height and length of the obstruction, there are no downstream waves – and hence zero wave drag on the object. Here we revisit this problem and complete an examination of the parameter space for flow over a semi-ellipse. A rich pattern of waveless solutions that merge into each other is detected.


Fluid dynamics Free-surface flow Water waves 


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Mathematics & StatisticsMurdoch UniversityPerthAustralia
  2. 2.School of Mathematics and PhyscisUniversity of TasmaniaHobartAustralia

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