Plane shearing waves of arbitrary form: Exact solutions of the Navier-Stokes equations.

Singh, Nishant K.; Sridhar, S.

Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/6800

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DC Field	Value	Language
dc.contributor.author	Singh, Nishant K.	-
dc.contributor.author	Sridhar, S.	-
dc.date.accessioned	2017-11-30T12:16:56Z	-
dc.date.available	2017-11-30T12:16:56Z	-
dc.date.issued	2017-09	-
dc.identifier.citation	European Physical Journal Plus, 2017, Vol. 132, p 403	en_US
dc.identifier.issn	2190-5444 (Online)	-
dc.identifier.uri	http://hdl.handle.net/2289/6800	-
dc.description	Open Access	en_US
dc.description.abstract	We present exact solutions of the incompressible Navier-Stokes equations in a background linear shear flow. The method of construction is based on Kelvin’s investigations into linearized disturbances in an unbounded Couette flow. We obtain explicit formulae for all three components of a Kelvin mode in terms of elementary functions. We then prove that Kelvin modes with parallel (though time-dependent) wave vectors can be superposed to construct the most general plane transverse shearing wave. An explicit solution is given, with any specified initial orientation, profile and polarization structure, with either unbounded or shear-periodic boundary conditions.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer Verlag	en_US
dc.relation.uri	http://adsabs.harvard.edu/abs/2017EPJP..132..403S	en_US
dc.relation.uri	http://arxiv.org/abs/1101.5507	en_US
dc.relation.uri	http://dx.doi.org/10.1140/epjp/i2017-11659-5	en_US
dc.rights	2017 The authors published with open access at springerlink	en_US
dc.title	Plane shearing waves of arbitrary form: Exact solutions of the Navier-Stokes equations.	en_US
dc.type	Article	en_US
Appears in Collections:	Research Papers (A&A)

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