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Nonlinear instability of mixed convection flow over a horizontal cylinder

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Abstract

Vortex shedding and instability of the mixed convection flow over a horizontal cylinder have been studied numerically for different flow directions with respect to the direction of buoyancy—with emphasis on assisting and opposing flows. Nonlinear instability and vortex shedding have been investigated with the help of the Landau equation—that is modified to identify critical Reynolds and Richardson numbers. Effects of flow direction are studied for a representative Richardson number. The average Nusselt number is estimated for all the cases to represent average heat transfer.

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References

  1. Hankey, W.L., Shang, J.S.: Numerical simulations of self-excited oscillations in fluid flow. In: Habashi, W.G. (ed.) Comp. Methods in Viscous flows. Pineridge Press, Swansea (1984)

  2. Acrivos A.: On the combined effect of forced and free convection heat transfer in laminar boundary layer flows. Chem. Eng. Sci. 21, 343–352 (1966)

    Article  Google Scholar 

  3. Nakai S., Okazaki T.: Heat transfer from a horizontal circular wire at small Reynolds and Grashof numbers-II. Int. J. Heat Mass Transf. 18, 397–413 (1975)

    Article  Google Scholar 

  4. Badr H.M.: A theoretical study of laminar mixed convection from a horizontal cylinder in a cross stream. Int. J. Heat Mass Transf. 26, 639–653 (1983)

    Article  MATH  Google Scholar 

  5. Badr H.M.: Laminar combined convection from a horizontal cylinder-parallel and contra flow regimes. Int. J. Heat Mass Transf. 27, 15–27 (1984)

    Article  MATH  Google Scholar 

  6. Oosthuizen P.H., Madan S.: The effect of flow direction on combined convective heat transfer from cylinders to air. ASME J. Heat Transf. 93, 240–242 (1971)

    Google Scholar 

  7. Chang K.-S., Sa J.-Y.: The effect of buoyancy on vortex shedding in the near wake of a circular cylinder. J. Fluid Mech. 220, 253–266 (1990)

    Article  Google Scholar 

  8. Landau L.D., Lifshitz E.M.: Fluid Mechanics, vol. 6. Pergamon Press, London (1959)

    Google Scholar 

  9. Drazin P.G., Reid W.H.: Hydrodynamic Stability. Cambridge University Press, UK (1981)

    MATH  Google Scholar 

  10. Zebib A.: Stability of viscous flow past a circular cylinder. J. Eng. Math. 21, 155–165 (1987)

    Article  Google Scholar 

  11. Morzynski M., Thiele F.: Numerical investigation of wake instabilities. In: Eckelmann, Graham, Huerre, Monkewitz (eds.) Bluff Body Wakes, Dynamics and Instabilities. Springer, Berlin (1993)

    Google Scholar 

  12. Homann F.: Einfluss grosser Zähigkeit bei Strö mung um Zylinder. Forsch. auf dem Gabiete des Ingenieurwesens 7, 1–10 (1936)

    Article  Google Scholar 

  13. Batchelor G.K.: An Introduction to Fluid Dynamics. Cambridge University Press, UK (1988)

    Google Scholar 

  14. Schlichting H.: Boundary layer theory. McGraw-Hill, New York (1979)

    MATH  Google Scholar 

  15. Strykowski, P.J.: The control of absolutely and convectively unstable shear flows. PhD thesis submitted to Yale University, USA (1986)

  16. Strykowski P.J., Sreenivasan K.R.: On the formation and supression of vortex shedding at low Reynolds number. J. Fluid Mech. 218, 74–107 (1990)

    Article  Google Scholar 

  17. Gebhart B., Jaluria Y., Mahajan R.L., Sammakia B.: Buoyancy-Induced Flows and Transport. Hemisphere Publication, Washington DC (1988)

    MATH  Google Scholar 

  18. Sengupta T.K., Sircar S.K., Dipankar A.: High accuracy schemes for DNS and acoustics. J. Sci. Comput. 26, 151–193 (2006)

    Article  MathSciNet  Google Scholar 

  19. Sengupta T.K., Vikas V., Johri A.: An improved method for calculating flow past flapping and hovering airfoils. Theor. Comput. Fluid Dyn. 19, 417–440 (2006)

    Article  Google Scholar 

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Correspondence to T. K. Sengupta.

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Dedicated to Professor Wilhelm Schneider on the occasion of his 70th birthday

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Sengupta, T.K., Venkatasubbaiah, K. & Pawar, S.S. Nonlinear instability of mixed convection flow over a horizontal cylinder. Acta Mech 201, 197–210 (2008). https://doi.org/10.1007/s00707-008-0059-x

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  • DOI: https://doi.org/10.1007/s00707-008-0059-x

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