Gray's paradox: A fluid mechanical perspective

Rahul Bale, Max Hao, Amneet Pal Singh Bhalla, Namrata Patel, Neelesh A. Patankar*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


Nearly eighty years ago, Gray reported that the drag power experienced by a dolphin was larger than the estimated muscle power - this is termed as Gray's paradox. We provide a fluid mechanical perspective of this paradox. The viewpoint that swimmers necessarily spend muscle energy to overcome drag in the direction of swimming needs revision. For example, in undulatory swimming most of the muscle energy is directly expended to generate lateral undulations of the body, and the drag power is balanced not by the muscle power but by the thrust power. Depending on drag model utilized, the drag power may be greater than muscle power without being paradoxical.

Original languageEnglish (US)
Article number5904
JournalScientific reports
StatePublished - Jul 31 2014

ASJC Scopus subject areas

  • General

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