Nonisothermal Flow Around a Circular Cylinder with a Permeable Layer at Moderate Reynolds Numbers

  • I. V. Morenko
  • B. A. Snigerev

Results of a numerical investigation of a separation nonisothermal flow of an incompressible viscous fluid around a circular cylinder covered with a permeable porous layer at moderate Reynolds numbers are presented. This flow was defined with the use of Navier–Stokes and energy equations, and the filtration flow in the porous layer was determined by the Forchheimer law. The dependence of the hydrodynamical drag of the indicated cylinder and the length of the vortex region in the flow around it on the Reynolds and Darcy numbers was determined. An analysis of the heat transfer from cylindrical bodies covered with permeable layers of a highly heat-conducting material or a heat-insulating material has been performed.


permeable porous layer circular cylinder heat exchange nonisothermal flow 


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  1. 1.
    G. M. Ozkan, V. Oruc, H. Akilli, and B. Sahin, Flow around a cylinder surrounded by a permeable cylinder in shallow water, Exp. Fluids, No. 53, 1751–1763 (2012).Google Scholar
  2. 2.
    B. Gözmen, H. Akilli, and B. Şahin, Vortex control of cylinder wake by permeable cylinder, J. Faculty Eng. Arch., 28, No. 2, 77–85 (2013).Google Scholar
  3. 3.
    H. Naito and K. Fukagata, Numerical simulation of flow around a circular cylinder having porous surface, Phys. Fluids, 24, No. 11, 117102–19 (2012).CrossRefGoogle Scholar
  4. 4.
    A. I. Popov, Hydrodynamics and Heat Exchange in Porous Heat-Exchange Elements and Apparatus. Intensification of Heat Exchange [in Russian], Tsentr Innovats. Tekhnol., Kazan (2007).Google Scholar
  5. 5.
    Ş. Ö. Atayılmaz and İ. Teke, Experimental and numerical study of the natural convection from a heated horizontal cylinder wrapped with a layer of textile material, Int. Commun. Heat Mass Transf., No. 37, 58–67 (2010).Google Scholar
  6. 6.
    N. J. S. Ahmed, I. A. Badruddin, Z. A. Zainal, H. M. T. Khaleed, and J. Kanesan, Heat transfer in a conical cylinder with porous medium, Int. J. Heat Mass Transf., No. 52, 3070–3078 (2009).Google Scholar
  7. 7.
    K. Klausmann and B. Ruck, Flow around circular cylinders with partial porous coating, Fachtagung "Lasermethoden in der Strömungsmesstechnik," 9–11 September, 2014, Karlsruhe (2014), pp.15.1–15.8.Google Scholar
  8. 8.
    M. P. Sobera and C. R. Kleijn, T-RANS Simulations of subcritical flow with heat transfer past a circular cylinder surrounded by a thin porous layer, Flow Turbulence Combust., No. 80, 531–546 (2008).Google Scholar
  9. 9.
    S. Rashidi, A. Tamayol, M. S. Valipour, and N. Shokri, Fluid flow and forced convection heat transfer around a solid cylinder wrapped with a porous ring, Int. J. Heat Mass Transf., No. 63, 91–100 (2013).Google Scholar
  10. 10.
    D. A. Nield and A. Bejan, Convection in Porous Media, Springer, New York (1992).CrossRefMATHGoogle Scholar
  11. 11.
    P. Yu, Y. Zeng, T. S. Lee, X. B. Chen, and H. T. Low, Steady flow around and through a permeable circular cylinder, Comp. Fluids, No. 42, 1–12 (2011).Google Scholar
  12. 12.
    B. Fornberg, A numerical study of steady viscous flow past a circular cylinder, J. Fluid Mech., No. 98, 819–855 (1980).Google Scholar
  13. 13.
    S. C. R. Dennis and G. Z. Chang, Numerical solution for steady flow past a circular cylinder at Reynolds numbers up to 100, J. Fluid Mech., No. 42, 471–489 (1970).Google Scholar
  14. 14.
    H. Takami and H. B. Keller, Steady two-dimensional viscous flow of an incompressible fluid past a circular cylinder, Phys. Fluids, Supplement II, No. 12, 51–56 (1969).Google Scholar
  15. 15.
    F. Nieuwstadt and H. B. Keller, Viscous flow past circular cylinders, Comput. Fluids, No. 42, 471–489 (1973).Google Scholar
  16. 16.
    S. Bhattacharyya, S. Dhinakaran, and A. Khalili, Fluid motion around and through a porous cylinder, Chem. Eng. Sci., No. 61, 4451–4461 (2006).Google Scholar
  17. 17.
    M. S. Valipour and A. Z. Ghadi, Numerical investigation of fluid flow and heat transfer around a solid circular cylinder utilizing nanofluid, Int. Commun. Heat Mass Transf., No. 38, 1296–1304 (2011).Google Scholar

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© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Institute of Mechanics and Machine Manufacturing, Kazan Research CenterRussian Academy of SciencesKazanRussia

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