Three-dimensional viscous jet flow with plane free boundaries


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Abstract

The problem of steady three-dimensional viscous flow with plane free boundaries, induced by a linear source or sink, is solved. The nonuniqueness of the solution in the case of a source and its vanishing in the case of a sink, as the Reynolds number reaches a certain critical value, is proved. The problem is investigated within the framework of the known class of the exact solutions of Navier–Stokes equations generalized in this study.

About the authors

S. N. Aristov

Institute of Continuous Media Mechanics

Email: dvk5@yandex.ru
Russian Federation, ul. Akad. Koroleva 1, Perm, 614013

D. V. Knyazev

Institute of Continuous Media Mechanics

Author for correspondence.
Email: dvk5@yandex.ru
Russian Federation, ul. Akad. Koroleva 1, Perm, 614013

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