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The News of Altai State University
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1-2(69)2011
Mathematics and Mechanics

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V.V. Pukhnachev

Non-stationary Analogues of the Birikh Solution

The author constructed new exact solutions of the Oberbeck-Boussinesq equations describing unsteady flow of viscous incompressible fluid in a horizontal strip and in a rotating tube. Herewith, it is sufficient that longitudinal temperature gradient depends on time.
Key words: convective motion, Oberbeck-Boussinesq equations, Birikh solution.

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