Constructing solutions of the navier-stokes equations for a fluid layer between moving parallel plates at low and moderate reynolds numbers |
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Authors: | A G Petrov |
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Institution: | 1. Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526, Russia
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Abstract: | In this paper, we study exact solutions of the Navier-Stokes equations for a layer between parallel plates, the distance between which varies according to an arbitrary power law and whose boundary has a no-slip condition, are under study. A solution in the form of a power series of the Reynolds number is obtained. Comparison with the exact solutions is performed, and high accuracy of expansions for Reynolds numbers Re = 1–10 is shown. An accurate estimate of the error of the Reynolds thin layer approximation is obtained. |
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