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

Singh, Nishant K.KTH,Stockholms universitet,Nordiska institutet för teoretisk fysik (Nordita),Max Planck Institute for Solar System Research, Germany,Nordic Institute for Theoretical Physics NORDITA (författare)

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

QC 20171101
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.

Sridhar, S. (författare)
Stockholms universitetNordiska institutet för teoretisk fysik (Nordita) (creator_code:org_t)

Ingår i:The European Physical Journal Plus: Springer Science and Business Media LLC132:92190-5444

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