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Instability of viscous incompressible flow in a channel with transversely corrugated walls

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Warianty tytułu
PL
Zjawisko destabilizacji przepływu laminarnego w kanale z poprzecznie pofalowanymi ścianami
Języki publikacji
EN
Abstrakty
EN
Destabilization of the laminar flow in a channel with transversly wavy walls is investigated. The basic flow is determined by a semi-analytical method based on the concept of immersed boundaries. The stability equations are discretized by the spectrally accurate Chebyshev-tau method. It is demonstrated that the transversal wall waviness can be used in order to achieve destabilization of the laminar flow at low Reynolds numbers. Possible applications include the improvement of mixing and heat/mass transfer in various devices used in heat technology, biotechnology and medicine.
PL
Praca poświęcona jest zjawisku destabilizacji przepływu laminarnego w kanale wywołanej poprzecznym pofalowaniem ścian. Przepływ niezaburzony wyznaczono przy pomocy semi-analitycznej metody zanurzonych granic. Wyprowadzono równania stateczności, które następnie poddano dyskretyzacji przy użyciu wielomianów Czebyszewa. Pokazano, że poprzeczne pofalowanie ścian o odpowiedniej geometrii prowadzi do destabilizacji przepływu przy niskich liczbach Reynoldsa i omówiono własności pola zaburzeń. Wydaje się, że opisany efekt może mieć znaczenie dla intensyfikacji mieszania i poprawy efektywności procesów transportu w technice cieplnej, biotechnologii i medycynie.
Słowa kluczowe
Rocznik
Strony
659--683
Opis fizyczny
Bibliogr. 36 poz., rys., tab.
Twórcy
  • Warsaw University of Technology, Institute of Aeronautics and Applied Mechanics, Poland, jasz@meil.pw.edu.pl
Bibliografia
  • 1. Blancher S., Creff R., Le Quere P., 1998, Effect of Tollmien-Schlichting wave on convective heat transfer in a wavy channel. Part I: Linear analysis, International Journal of Heat and Fluid Flow, 19, 39-48
  • 2. Blancher S., Creff R., Le Quere P., 2004, Analysis of convective hydrodynamic instabilities in a symmetric wavy channel, Physics of Fluids, 16, 10, 3726-3737
  • 3. Boyd J.P., 2001, Chebyshev and Fourier Spectral Methods, 2nd Ed. Dover Publication Inc., Minneola NY
  • 4. Cabal A., Szumbarski J., Floryan J.M., 2002, Stability of flow in a wavy channel, Journal of Fluid Mechanics, 457, 191-212
  • 5. Cho K.J., Kim M., Shin H.D., 1998, Linear stability of two-dimensional steady flow in wavy-walled channel, Fluid Dynamic Research, 23, 349-370
  • 6. Ehrenstein U., 1996, On the linear stability of channel flow over riblets, Physics of Fluids, 8, 11, 3194-3196
  • 7. Floryan J.M., Szumbarski J., Wu X., 2002, Stability of flow in a channel with vibrating walls, Physics of Fluids, 14, 11, 3927-3936
  • 8. Floryan J.M., 1997, Stability of wall-bounded shear layers in the presence of simulated distributed surface roughness, J. Fluid Mech., 335, 29-55
  • 9. Floryan J.M., 2005, Two-dimensional instability of flow in a rough channel, Physics of Fluids, 17, 044101-1 (electronic version)
  • 10. Floryan J.M., 2003, Vortex instability in a diverging-converging channel, J. Fluid. Mech., 482, 17-50
  • 11. Ghaddar N., El-Hajj A., 2000, Numerical study of heat transfer augmentation of viscous flow in corrugated channels, Heat Transfer Engineering, 21, 35-46
  • 12. Goldstein J.L., Sparrow E.M., 1977, Heat-mass transfer characteristics for flow in a corrugated wall channel, Journal of Heat Transfer, 99, 187-195
  • 13. Golub G.H., Van Loan Ch.F., 1996, Matrix Computations, 3rd Ed., The John Hopkins University Press, Baltimore
  • 14. Grek G.R., Kozlov V.V., Titarenko S.V., 1996, An experimental study of the influence of riblets on transition, Journal of Fluid Mechanics, 315, 31-49
  • 15. Luchini P., Trombetta G., 1995, Effects of riblets upon flow stability, Applied Scientific Research, 54, 4, 313-321
  • 16. Luchini P., 1995, Asymptotic analysis of laminar boundary-layer flow over finely grooved surfaces, European Journal of Mechanics B Fluids, 14, 2, 169-195
  • 17. Niceno B., Nobile E., 2001, Numerical analysis of fluid flow and heat transfer in periodic wavy channel, International Journal of Heat and Fluid Flow, 22, 156-167
  • 18. Nishimura T., Murakami S., Arakawa S., Kawamura Y., 1990, Flow observations and mass transfer characteristics in symmetrical wavy-walled channels at moderate Reynolds number for steady flow, Int. J. Heat and Mass Transfer, 33, 835-844
  • 19. Nishimura T., Arakawa S., Murakami S., Kawamura Y., 1989, Oscillatory viscous flow in symmetric wavy-wall channels, Chemical Engineering Science, 44, 2211-2224
  • 20. Nishimura T., Kawamura Y., 1995, Three-dimensionality of oscillatory flow in a two-dimensional symmetric sinusoidal wavy-walled channel, Exp. Therm. Fluid Sci., 10, 62-73
  • 21. Nishimura T., Yoshino T., Kawamura Y., 1987, Numerical flow analysis of pulsatile flow in a channel with symmetric wavy walls at moderate Reynolds numbers, J. Chem. Eng. Jpn., 20, 479-485
  • 22. Nishimura T., Kojima N., 1995, Mass transfer enhancement in a sinusoidal wavy-walled channel for pulsatile flow, Int. Journal of Heat and Mass Transfer, 38, 1719-1731
  • 23. Saad Y., 1992, Numerical methods for large eigenvalue problems, Manchester University Press
  • 24. Schmid P.J., Henningson D.S., 2001, Stability and transition in shear flows, Applied Mathematical Sciences, 142, Springer, New York
  • 25. Selvarajan S., Tulapurkara E.G., Vasanta Ram V., 1999, Stability characteristics of wavy channel flows, Physics of Fluids, 11, 3, 579-589
  • 26. Sobey I.J., 1980, On flow through furrowed channels. Part 1: Calculated flow patterns, Journal of Fluid Mechanics, 96, 1-26
  • 27. Stephanoff K.D., Sobey I.J., Bellhouse B.J., 1980, On flow through furrowed channels. Part 2: Observed flow patterns, Journal of Fluid Mechanics, 96, 27-32
  • 28. Szumbarski J., Floryan J.M., 1999, A direct spectral method for determination of flows over corrugated boundaries, Journal of Computational Physics, 156, 378-402
  • 29. Szumbarski J., 2002c, On the origin of unstable modes in viscous channel flow subject to periodically distributed surface suction, Journal of Theoretical and Applied Mechanics, 40, 4, 847-871
  • 30. Szumbarski J., 2002a, Immersed boundary approach to stability equations for a spatially periodic viscous flow, Archives of Mechanics, 54, 3, 199-222
  • 31. Szumbarski J., 2002b, Linear Analysis of the disturbance dynamics in spatially periodic channel flow. Poster presentation [in Polish], XV Polish Conference of Fluid Mechanics, Augustów 2002
  • 32. Szumbarski J., Floryan J.M., 2006, Transient disturbance growth in a corrugated channel, Journal of Fluid Mechanics, 568, 243-272
  • 33. Szumbarski J., 2007, Instability of the viscous liquid flow in the wavy-wall channel [in Polish], Habilitation Dissertation, In: Prace Naukowe Politechniki Warszawskiej, Mechanika, Warszawa
  • 34. Viswanath P.R., 2002, Aircraft viscous drag reduction using riblets, Progress in Aerospace Sciences, 38, 571-600
  • 35. Wang G., Vanka S.P., 1995, Convective heat transfer in periodic wavy passages, Int. Journal of Heat and Mass Transfer, 38, 17, 3219-3230
  • 36. Wu X., Luo J., 2006, Influence of small imperfections on the stability of plane Poiseuille flow and the limitation of Squire’s theorem, Physics of Fluids, 18, 044104 (electronic form)
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWM2-0068-0027
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