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Taylor–Proudman theorem
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==History== The result known as the Taylor-Proudman theorem was first derived by Sydney Samuel Hough (1870-1923), a mathematician at Cambridge University, in 1897.<ref>{{cite book|last1=Gill|first1=Adrian E.|author-link=Adrian Gill (meteorologist)|title=Atmosphere—Ocean Dynamics|date=2016|publisher=Elsevier|isbn=9781483281582}}</ref>{{rp|506}}<ref>{{cite journal |author=Hough, S.S. |title=On the application of harmonic analysis to the dynamical theory of the tides. Part I. On Laplace's "oscillations of the first species," and on the dynamics of ocean currents |journal=Phil. Trans. R. Soc. Lond. A |volume=189 |pages=201–257 |date=January 1, 1897 |doi=10.1098/rsta.1897.0009 |bibcode = 1897RSPTA.189..201H |doi-access=free }}</ref> Proudman published another derivation in 1916 and Taylor in 1917, then the effect was demonstrated experimentally by Taylor in 1923.<ref>{{cite book|last1=Wu|first1=J.-Z.|last2=Ma|first2=H.-Y.|last3=Zhou|first3=M.-D.|title=Vorticity and vortex dynamics|date=2006|publisher=Springer|location=Berlin|isbn=9783540290285}}</ref>{{rp|648}}<ref>{{cite book|last1=Longair|first1=Malcolm|author-link=Malcolm Longair|title=Maxwell's Enduring Legacy: A Scientific History of the Cavendish Laboratory|date=2016|publisher=Cambridge University Press|isbn=9781316033418|url=https://books.google.com/books?id=vAWpDAAAQBAJ}}</ref>{{rp|245}}<ref>{{cite journal |author=Proudman, J. |title=On the motion of solids in a liquid possessing vorticity |journal=Proc. R. Soc. Lond. A |volume=92 |pages=408–424 |date=July 1, 1916 |issue=642 |doi=10.1098/rspa.1916.0026 |bibcode = 1916RSPSA..92..408P |doi-access=free }}</ref><ref>{{cite journal |author=Taylor, G.I. |title=Motion of solids in fluids when the flow is not irrotational |journal=Proc. R. Soc. Lond. A |volume=93 |pages=92–113 |date=March 1, 1917 |issue=648 |doi=10.1098/rspa.1917.0007 |bibcode = 1917RSPSA..93...99T |doi-access=free }}</ref>
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