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.
Similar content being viewed by others
References
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)
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)
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)
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)
Badr H.M.: Laminar combined convection from a horizontal cylinder-parallel and contra flow regimes. Int. J. Heat Mass Transf. 27, 15–27 (1984)
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)
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)
Landau L.D., Lifshitz E.M.: Fluid Mechanics, vol. 6. Pergamon Press, London (1959)
Drazin P.G., Reid W.H.: Hydrodynamic Stability. Cambridge University Press, UK (1981)
Zebib A.: Stability of viscous flow past a circular cylinder. J. Eng. Math. 21, 155–165 (1987)
Morzynski M., Thiele F.: Numerical investigation of wake instabilities. In: Eckelmann, Graham, Huerre, Monkewitz (eds.) Bluff Body Wakes, Dynamics and Instabilities. Springer, Berlin (1993)
Homann F.: Einfluss grosser Zähigkeit bei Strö mung um Zylinder. Forsch. auf dem Gabiete des Ingenieurwesens 7, 1–10 (1936)
Batchelor G.K.: An Introduction to Fluid Dynamics. Cambridge University Press, UK (1988)
Schlichting H.: Boundary layer theory. McGraw-Hill, New York (1979)
Strykowski, P.J.: The control of absolutely and convectively unstable shear flows. PhD thesis submitted to Yale University, USA (1986)
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)
Gebhart B., Jaluria Y., Mahajan R.L., Sammakia B.: Buoyancy-Induced Flows and Transport. Hemisphere Publication, Washington DC (1988)
Sengupta T.K., Sircar S.K., Dipankar A.: High accuracy schemes for DNS and acoustics. J. Sci. Comput. 26, 151–193 (2006)
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)
Author information
Authors and Affiliations
Corresponding author
Additional information
Dedicated to Professor Wilhelm Schneider on the occasion of his 70th birthday
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00707-008-0059-x