Exact Solution of the Equations of Axisymmetric Viscous Fluid Flow between Parallel Plates Approaching and Moving Apart from One Anotherстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 20 декабря 2019 г.
Аннотация:The exact solutions of the Navier–Stokes equations in a fluid layer in between parallel
plates moving so that the distance varies in accordance with an arbitrary-power law are investigated.
The no-slip condition is imposed on the plate boundary. The exact solutions of the Navier–
Stokes equations are constructed as series in powers of the Reynolds number. The cases of
the decelerated motion in accordance with the time-square-root law, the uniform motion, and
the uniformly accelerated motion of the plates are studied in detail. In the first of the cases
mentioned above the series converge and in the other cases the solution is determined by means of
asymptotic series. The critical Reynolds number which corresponds to the development of backflow
is determined.