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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 5, Pages 13–18
(Mi pmtf1396)
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This article is cited in 6 scientific papers (total in 6 papers)
Exact solution of the Navier–Stokes equations in a fluid layer between the moving parallel plates
A. G. Petrov Ishlinskii Institute of Mechanics, Russian Academy of Sciences, Moscow, 119516, Russia
Abstract:
This paper studies exact solutions of the Navier–Stokes equations for a layer between parallel plates the distance between which increases proportionally to the square root of time. A countable set of exact solutions and their derived countable set of continuous families of exact solutions are obtained. It is shown that certain intervals of the Reynolds parameter have two solutions and some of them one solution.
Keywords:
Navier–Stokes equations, exact solutions, moving parallel plates.
Received: 31.01.2012
Citation:
A. G. Petrov, “Exact solution of the Navier–Stokes equations in a fluid layer between the moving parallel plates”, Prikl. Mekh. Tekh. Fiz., 53:5 (2012), 13–18; J. Appl. Mech. Tech. Phys., 53:5 (2012), 642–646
Linking options:
https://www.mathnet.ru/eng/pmtf1396 https://www.mathnet.ru/eng/pmtf/v53/i5/p13
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Abstract page: | 30 | Full-text PDF : | 27 |
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