A Survey on a Class of Exact Solutions of the Navier–Stokes Equations and a Model for Turbulence | Zendy

Koji Ohkitani | Zendy

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A Survey on a Class of Exact Solutions of the Navier–Stokes Equations and a Model for Turbulence

Author(s) -

Koji Ohkitani

Publication year - 2004

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1145475447

Subject(s) - turbulence , vorticity , vortex , mathematics , navier–stokes equations , mathematical analysis , stability (learning theory) , azimuth , classical mechanics , physics , mechanics , geometry , computer science , compressibility , machine learning

In this paper we review some classes of exact solutions of the Navier-Stokes equations under a time-independent external straining flow, centering around the celebrated Burgers vortex. The objectives are (i) to clarify the relationship between them and (ii) to examine them as models of turbulence. Particularly we study the Lundgren spiral model for turbulence in the presence of azimuthal vorticity (that is, with axial velocity). The implication on linear stability of the Burgers vortex is briefly discussed.

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