Advertisement

Convection in Superposed Fluid Layers

  • Pradipta Kumar Panigrahi
  • Krishnamurthy Muralidhar
Chapter
Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES, volume 4)

Abstract

Buoyancy-driven convection in differentially heated fluid layers overlaid on each other is the subject of interest in this chapter. The problem is characterized by the formation of a fluid–fluid interface. The nature of coupling between the two fluid layers is determined by the interface. Experiments conducted over a limited range of parameters with an air–silicone oil system are discussed in the sections below. For the range of parameters studied, surface tension was found to be of secondary importance.

Key words

Buoyant convection Two-fluid system Interfaces Nusselt number. 

References

  1. 1.
    C.D. Andereck, P.W, Colovas, M.M. Degen and Y.Y. Renardy, Instabilities in two-layer Rayleigh–Benard convection: overview and outlook, International Journal of Engineering Science, Vol. 36, pp. 1451–1470, 1998.Google Scholar
  2. 2.
    J.P. Gollub and S.V. Benson, Many routes to turbulent convection, J. Fluid Mechanics, Vol. 100(3), pp. 449–470, 1980.Google Scholar
  3. 3.
    A.A. Golovin, A.A. Nepomnyashchy and L.M. Pismen, Pattern formation in large scale Marangoni convection deformable interface, Physica D, Vol. 81, pp.117–147, 1995.Google Scholar
  4. 4.
    D. Johnson, R. Narayanan and P.C. Dauby, The effect of air height on pattern formation in liquid-air bi-layer convection, in Fluid Dynamics at Interfaces, Cambridge University Press, Cambridge, pp. 15–30, 1999.Google Scholar
  5. 5.
    M. Lappa, On the nature and structure of possible three dimensional steady flows in closed and open parallelepipedic and cubical containers under different heating conditions and driving forces, Journal of Fluid Dynamics and Material Processing, Vol. 1(1), pp. 1–19, 2005.Google Scholar
  6. 6.
    G. Lebon, P.C. Dauby and V.C. Regnie, Role of interface deformation on Be-Ma instability, Acta Astronautica, Vol. 48(5–12), pp. 617–627, 2001.Google Scholar
  7. 7.
    A. Prakash,K. Yasuda, F. Otsubo, K. Kuwahara and T. Doi, Flow coupling mechanism in two-layer Rayleigh–Benard convection, Experiments in Fluids, Vol. 23, pp. 252–261, 1997.Google Scholar
  8. 8.
    S. Punjabi, K. Muralidhar and P.K. Panigrahi, Buoyancy-driven convection in two superposed fluid layers in an octagonal cavity, International Journal of Thermal Sciences, Vol. 43, 849–864, 2004.Google Scholar
  9. 9.
    Y.Y. Renardy and C.G. Stoltz, Time dependent pattern formation for convection in two layers of immiscible fluids, Inter. J. Multiphase Flow, Vol. 26, pp. 1875–1889, 2000.Google Scholar
  10. 10.
    S.K. Sahu, K. Muralidhar and P.K. Panigrahi, Interfacial deformation and convective transport in differentially heated air-oil layers, Journal of Fluid Dynamics and Materials Processing, Vol. 3(3), pp. 265–286, 2007.Google Scholar
  11. 11.
    W. Shyy, H.S. Udayakumar, M.M. Rao and R.W. Smith, Computational Fluid Dynamics with Moving Boundaries, Taylor and Francis, New York, 1996.Google Scholar
  12. 12.
    A.X. Zhao, C. Wagner, R. Narayanan and R. Friedrich, Bi-layer Rayleigh-Marangoni convection: transitions in flow structures at the interface, Proc. R. Soc. London, Ser. A, pp. 451–487, 1995.Google Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Pradipta Kumar Panigrahi
    • 1
  • Krishnamurthy Muralidhar
    • 1
  1. 1.Department of Mechanical EngineeringIndian Institute of Technology KanpurKanpurIndia

Personalised recommendations