One class of partially invariant solutions of the Navier-Stokes equations |
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Authors: | S. V. Meleshko V. V. Pukhnachev |
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Affiliation: | (1) Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, 630090 Novosibirsk;(2) Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, 630090 Novosibirsk |
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Abstract: | A family of partially invariant solutions of the Navier-Stokes equations of rank 2 and defect 2 is considered. These solutions describe the three-dimensional unsteady motions of a viscous incompressible fluid in which the vertical velocity component and the pressure are independent of the horizontal coordinates. In particular, they can be interpreted as flows in a horizontal layer, one boundary of which is the free surface. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 2, pp. 24–33, March–April, 1999. |
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