The solutions of Navier-Stokes equations in squeezing flow between parallel plates

0427522 - ÚH 2015 RIV FR eng J - Článek v odborném periodiku
Petrov, A. G. - Kharlamova, Irina
The solutions of Navier-Stokes equations in squeezing flow between parallel plates.
European Journal of Mechanics B-Fluids. Roč. 48, November–December (2014), s. 40-48. ISSN 0997-7546. E-ISSN 1873-7390
Grant ostatní: Russian Foundation for Basic Research(RU) 14-01- 00818; Russian Foundation for Basic Research(RU) 14-01-00892
Institucionální podpora: RVO:67985874
Klíčová slova: closed form solution * Navier-Stokes equations * squeezing flow between plates * counterflow
Kód oboru RIV: BK - Mechanika tekutin
Impakt faktor: 1.656, rok: 2014

The velocity profile in a layer of viscous Newtonian fluid between two parallel plates, where one plate is immobile and other is either moving away or moving to the first one, is studied. The distance between plates changes in time according to a power-law: h similar to |t|^s. Precise solutions of the Navier–Stokes equations are constructed as series in powers of Reynolds number. The cases of uniform motion (s = 1) of the plates and uniformly accelerated motion (s = 2) are studied in detail. For the case h similar to √ t the series is convergent, in other cases the series is asymptotic. The critical Reynolds number corresponding to the appearance of counterflow is also determined.
Trvalý link: http://hdl.handle.net/11104/0233418