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Visualization of convective fluid flow in a porous medium

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Abstract

WHEN a horizontal layer of fluid is heated from below, it may undergo Rayleigh-Benard convection (RBC), leading to the spontaneous appearance of regular patterns of fluid flow1. The shadow-graph technique2, which allows visualization of the convection patterns, has assisted in developing an understanding of RBC. Related to RBC is convection in a fluid permeating a porous medium (called Horton-Rodgers-Lapwood convection or HRLC) when it is heated from below3–7. HRLC is relevant to geothermal applications and to flow in soils. Pattern formation in HRLC is less easily visualized by shadowgraph techniques because of the difficulties of transmitting light through the porous medium. Here we show how these difficulties can be overcome by constructing porous media in which the interfaces between solid and liquid are either parallel or perpendicular to the confining boundaries of the experimental system. Convection in such a medium can be visualized using conventional shadowgraph methods, and we compare the stationary flow patterns observed against measurements of heat transport.

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References

  1. Behringer, R. P. Rev. mod. Phys. 57, 657–687 (1985).

    Article  ADS  CAS  Google Scholar 

  2. Busse, F. H. & Whitehead, J. A. J. Fluid. Mech. 47, 305–320 (1971).

    Article  ADS  Google Scholar 

  3. Cheng, P. Adv. Heat Transf. 14, 1–105 (1978).

    Google Scholar 

  4. Combarnous, M. A. & Bories, S. A. Adv. Hydrosci. 10, 231–307 (1975).

    Article  Google Scholar 

  5. Horton, C. W. & Rodgers, R. T. J. appl. Phys. 16, 367–370 (1945).

    Article  ADS  MathSciNet  Google Scholar 

  6. Lapwood, E. Proc. Camb. phil. Soc. 44, 508–521 (1948).

    Article  ADS  MathSciNet  Google Scholar 

  7. Nield, D. A. & Bejan, A. Convection in Porous Media (Springer, New York, 1992).

    Book  Google Scholar 

  8. Johnsson, T. & Catton, I. ASME J. Heat Transf. 109, 371–377 (1987).

    Article  Google Scholar 

  9. Georgiadis, J. & Catton, I. ASME J. Heat Transf. 108, 284–290 (1986).

    Article  Google Scholar 

  10. Close, D. J., Simmons, J. G. & White, R. F. Int. J. Heat Mass Transf. 28, 2371–2378 (1985).

    Article  CAS  Google Scholar 

  11. Georgiadis, J. G. in Convective Heat and Mass Transfer in Porous Media Vol. 196 (eds Kakac, S. et al) 1073–1083 (Kluwer, Dordrecht, 1991).

    Book  Google Scholar 

  12. Klarsfeld, S. M. Rev. Gen. Thermique 9, 1403–1424 (1970).

    Google Scholar 

  13. Lister, C. B. R. J. Fluid Mech. 214, 287–320 (1990).

    Article  ADS  Google Scholar 

  14. Murray, B. T. & Chen, C. F. J. Fluid Mech. 201, 147–166 (1989).

    Article  ADS  CAS  Google Scholar 

  15. Rehberg, I. & Ahlers, G. Phys. Rev. Lett. 55, 500–504 (1985).

    Article  ADS  CAS  Google Scholar 

  16. Howle, L. E., Georgiadis, J. G. & Behringer, R. P. Topics in Heat Transfer HTD 206-1 (eds Keyhani, M. et al.) 17–23 (ASME, 1992).

    Google Scholar 

  17. Cross, M. C. Phys. Rev. A25(2), 1065–1076 (1982).

    Article  ADS  MathSciNet  CAS  Google Scholar 

  18. Kvernvold, O. & Tyvand, P. A. J. Fluid Mech. 90(4), 609–624 (1979).

    Article  ADS  Google Scholar 

  19. Vincourt, M. C. Int. J. Eng. Sci. 27, 377–392 (1989).

    Article  MathSciNet  Google Scholar 

  20. Gollub, J. P. & Benson, S. V. J. Fluid Mech. 100, 449–470 (1980).

    Article  ADS  Google Scholar 

  21. Stork, K. & Müller, U. J. Fluid Mech. 54, 599–611 (1972).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina, 27706, USA

    Laurens Howle & R. P. Behringer

  2. Department of Physics, Duke University, Durham, North Carolina, 27706, USA

    R. P. Behringer

  3. Mechanical and Industrial Engineering Department, University of Illinois at Urbana-Champaign, Urbana, Illinois, 61801, USA

    John Georgiadis

Authors
  1. Laurens Howle
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  2. R. P. Behringer
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  3. John Georgiadis
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Howle, L., Behringer, R. & Georgiadis, J. Visualization of convective fluid flow in a porous medium. Nature 362, 230–232 (1993). https://doi.org/10.1038/362230a0

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  • DOI: https://doi.org/10.1038/362230a0

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