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  • 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.
  • 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. (en)
Title
  • The solutions of Navier-Stokes equations in squeezing flow between parallel plates
  • The solutions of Navier-Stokes equations in squeezing flow between parallel plates (en)
skos:prefLabel
  • The solutions of Navier-Stokes equations in squeezing flow between parallel plates
  • The solutions of Navier-Stokes equations in squeezing flow between parallel plates (en)
skos:notation
  • RIV/67985874:_____/14:00427522!RIV15-AV0-67985874
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • I
http://linked.open...iv/cisloPeriodika
  • November–December
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
  • Kharlamova, Irina
http://linked.open.../riv/druhVysledku
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http://linked.open...titaPredkladatele
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  • 45922
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  • RIV/67985874:_____/14:00427522
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  • closed form solution; Navier-Stokes equations; squeezing flow between plates; counterflow (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • FR - Francouzská republika
http://linked.open...ontrolniKodProRIV
  • [92933792785B]
http://linked.open...i/riv/nazevZdroje
  • European Journal of Mechanics B-Fluids
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 48
http://linked.open...iv/tvurceVysledku
  • Kharlamova, Irina
  • Petrov, A. G.
http://linked.open...ain/vavai/riv/wos
  • 000341549300005
issn
  • 0997-7546
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.euromechflu.2014.04.004
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