Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelin. Dinam., 2014, Volume 10, Number 2, Pages 177–182 (Mi nd434)  

This article is cited in 18 scientific papers (total in 18 papers)

Inhomogeneous Couette flow

Sergey N. Aristova, Eugeny Yu. Prosviryakovbc

a Institute of Continuous Media Mechanics UB RAS, Ak. Koroleva str. 1, Perm, 614013, Russia
b Kazan National Research Technical University named after A. N. Tupolev, Karl Marx str. 10, Kazan, 420111, Russia
c Institute of Engineering Science UB RAS, Komsomolskaya str. 34, Ekaterinburg, 620049, Russia

Abstract: We have obtained a solution of the problem within the exact solutions of the Navier–Stokes equations which describes the flow of a viscous incompressible fluid caused by spatially inhomogeneous wind stresses.

Keywords: Couette flow, redefined boundary-value problem, exact solution, liquid vorticity, stream function, equatorial countercurrent.

Full text: PDF file (259 kB)
References: PDF file   HTML file
UDC: 532.51
MSC: 76F02, 76F45, 76M45, 76R05, 76U05
Received: 27.11.2013
Revised: 13.03.2014

Citation: Sergey N. Aristov, Eugeny Yu. Prosviryakov, “Inhomogeneous Couette flow”, Nelin. Dinam., 10:2 (2014), 177–182

Citation in format AMSBIB
\Bibitem{AriPro14}
\by Sergey~N.~Aristov, Eugeny~Yu.~Prosviryakov
\paper Inhomogeneous Couette flow
\jour Nelin. Dinam.
\yr 2014
\vol 10
\issue 2
\pages 177--182
\mathnet{http://mi.mathnet.ru/nd434}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. S. N. Aristov, E. Yu. Prosviryakov, “Volny Stoksa v zavikhrennoi zhidkosti”, Nelineinaya dinam., 10:3 (2014), 309–318  mathnet
    2. S. N. Aristov, E. Yu. Prosviryakov, “Tochnye resheniya uravnenii Nave–Stoksa, opisyvayuschikh statsionarnye sloistye techeniya izotermicheskoi zavikhrennoi vyazkoi neszhimaemoi zhidkosti”, Matematicheskoe modelirovanie v estestvennykh naukakh, 1 (2014), 29–32  mathscinet  elib
    3. S. N. Aristov, V. V. Privalova, E. Yu. Prosviryakov, “Statsionarnoe neizotermicheskoe techenie Kuetta. Kvadratichnyi nagrev verkhnei granitsy sloya zhidkosti”, Nelineinaya dinam., 12:2 (2016), 167–178  mathnet  elib
    4. N. V. Burmasheva, E. Yu. Prosviryakov, “Krupnomasshtabnaya sloistaya statsionarnaya konvektsiya vyazkoi neszhimaemoi zhidkosti pod deistviem kasatelnykh napryazhenii na verkhnei granitse. Issledovanie polya skorostei”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 21:1 (2017), 180–196  mathnet  crossref  elib
    5. V. V. Privalova, E. Yu. Prosviryakov, “Statsionarnoe konvektivnoe techenie KuettaKhimentsa pri kvadratichnom nagreve nizhnei granitsy sloya zhidkosti”, Nelineinaya dinam., 14:1 (2018), 69–79  mathnet  crossref  elib
    6. M. S. Deryabina, S. I. Martynov, “Periodicheskoe techenie vyazkoi zhidkosti s zadannym gradientom davleniya i temperatury”, Nelineinaya dinam., 14:1 (2018), 81–97  mathnet  crossref  elib
    7. E. Yu. Prosviryakov, L. F. Spevak, “Layered three-dimensional nonuniform viscous incompressible flows”, Theor. Found. Chem. Eng., 52:5 (2018), 765–770  crossref  isi  scopus
    8. A. V. Gorshkov, E. Yu. Prosviryakov, “Ekman convective layer flow of a viscous incompressible fluid”, Izv. Atmos. Ocean. Phys., 54:2 (2018), 189–195  crossref  mathscinet  isi  scopus
    9. V. V. Privalova, E. Yu. Prosviryakov, M. A. Simonov, “Nonlinear Gradient Flow of a Vertical Vortex Fluid in a Thin Layer”, Rus. J. Nonlin. Dyn., 15:3 (2019), 271–283  mathnet  crossref  mathscinet
    10. N. M. Zubarev, E. Yu. Prosviryakov, “Exact solutions for layered three-dimensional nonstationary isobaric flows of a viscous incompressible fluid”, J. Appl. Mech. Tech. Phys., 60:6 (2019), 1031–1037  crossref  crossref  isi  elib  scopus
    11. V. V. Privalova, E. Yu. Prosviryakov, M. A. Simonov, “An exact solution for the description of the gradient flow of a vortex fluid”, Mechanics, Resource and Diagnostics of Materials and Structures (MRDMS-2019), AIP Conf. Proc., 2176, eds. E. Gorkunov, V. Panin, S. Ramasubbu, Amer. Inst. Phys., 2019, 020012  crossref  isi  scopus
    12. V. V. Privalova, E. Yu. Prosviryakov, “An inhomogeneous Couette-type flow with a perfect slip condition at the lower boundary of an infinite fluid layer”, Mechanics, Resource and Diagnostics of Materials and Structures (MRDMS-2019), AIP Conf. Proc., 2176, eds. E. Gorkunov, V. Panin, S. Ramasubbu, Amer. Inst. Phys., 2019, 030012  crossref  isi  scopus
    13. V N. Burmasheva , E. Yu. Prosviryakov, “Convective layered flows of a vertically whirling viscous incompressible fluid. Velocity field investigation”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 23:2 (2019), 341–360  crossref  zmath  isi  scopus
    14. E. Yu. Prosviryakov, “Exact solutions to generalized plane BeltramiTrkal and Ballabh flows”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 24:2 (2020), 319–330  mathnet  crossref
    15. N. V. Burmasheva, E. Yu. Prosviryakov, “Tochnoe reshenie uravnenii Nave - Stoksa, opisyvayuschee prostranstvenno neodnorodnye techeniya vraschayuscheisya zhidkosti”, Tr. IMM UrO RAN, 26, no. 2, 2020, 79–87  mathnet  crossref  elib
    16. N. V. Burmasheva, E. Yu. Prosviryakov, “Klass tochnykh reshenii dlya dvumernykh uravnenii geofizicheskoi gidrodinamiki s dvumya parametrami Koriolisa”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 32 (2020), 33–48  mathnet  crossref
    17. Burmasheva N.V., Prosviryakov E.Yu., “Thermocapillary Convection of a Vertical Swirling Liquid”, Theor. Found. Chem. Eng., 54:1 (2020), 230–239  crossref  isi  scopus
    18. N. V. Burmasheva, E. Yu. Prosviryakov, “Tochnye resheniya dlya ustanovivshikhsya konvektivnykh sloistykh techenii s prostranstvennym uskoreniem”, Izv. vuzov. Matem., 2021, no. 7, 12–22  mathnet  crossref
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