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Localized asymptotic solutions of the navier-stokes equations and laminar wakes in an incompressible fluid

✍ Scribed by V.P. Maslov; A.I. Shafarevich

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
543 KB
Volume
62
Category
Article
ISSN
0021-8928

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✦ Synopsis

Equations are derived to describe the far-field laminar wake behind a body in incompressible fluid flow with an arbitrary distribution of the free-stream (unperturbed flow) velocity. For certain classes of free-stream flows, analysis of these equations enables various processes in narrow wakes or jets to be described (the interaction of the longitudinal transverse velocity components in a jet, cause it to accelerate or decelerate and conservation of the energy of the wake by distortion of its trajectory regardless of viscous dissipation). In particular, conditions are obtained for the wake growth in spiral flows, analogous to the Rayleigh conditions for the instability of two-dimensionally radially symmetric flows relative to three-dimensional short-wave perturbations.

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