Number of the records: 1
The solutions of Navier-Stokes equations in squeezing flow between parallel plates
- 1.
SYSNO ASEP 0427522 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title The solutions of Navier-Stokes equations in squeezing flow between parallel plates Author(s) Petrov, A. G. (RU)
Kharlamova, Irina (UH-J) RIDSource Title European Journal of Mechanics B-Fluids. - : Elsevier - ISSN 0997-7546
Roč. 48, November–December (2014), s. 40-48Number of pages 9 s. Publication form Print - P Language eng - English Country FR - France Keywords closed form solution ; Navier-Stokes equations ; squeezing flow between plates ; counterflow Subject RIV BK - Fluid Dynamics Institutional support UH-J - RVO:67985874 UT WOS 000341549300005 EID SCOPUS 84899843002 DOI 10.1016/j.euromechflu.2014.04.004 Annotation 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. Workplace Institute of Hydrodynamics Contact Soňa Hnilicová, hnilicova@ih.cas.cz, Tel.: 233 109 003 Year of Publishing 2015
Number of the records: 1